
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 4 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 5 |
| 37.5% | 18.7% | 31.2% | 0.1% | 0% | 50% | 0% | 6 |
| 43.8% | 21.9% | 28.1% | 0.1% | 0% | 50% | 0% | 7 |
| 65.6% | 32.8% | 17.2% | 0.1% | 0% | 50% | 0% | 8 |
| 70.3% | 35.1% | 14.8% | 0.1% | 0% | 50% | 0% | 9 |
| 82% | 41% | 9% | 0.1% | 0% | 50% | 0% | 10 |
| 84.8% | 42.3% | 7.6% | 0.1% | 0% | 50% | 0% | 11 |
| 90.8% | 45.4% | 4.6% | 0.1% | 0% | 50% | 0% | 12 |
Compiled 31 to 20 computations (35.5% saved)
ival-mult: 22.0ms (51.1% of total)ival-sub: 13.0ms (30.2% of total)ival-sqrt: 4.0ms (9.3% of total)ival-pi: 2.0ms (4.6% of total)ival-div: 2.0ms (4.6% of total)const: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| 1.2s | 8255× | 0 | valid |
| 2.0ms | 18× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-mult: 504.0ms (54.5% of total)ival-sub: 155.0ms (16.8% of total)ival-div: 134.0ms (14.5% of total)ival-sqrt: 73.0ms (7.9% of total)ival-pi: 34.0ms (3.7% of total)const: 22.0ms (2.4% of total)backward-pass: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 5020× | *-lowering-*.f32 |
| 5020× | *-lowering-*.f64 |
| 2636× | /-lowering-/.f32 |
| 2636× | /-lowering-/.f64 |
| 1982× | times-frac |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 152 |
| 1 | 187 | 150 |
| 2 | 644 | 132 |
| 3 | 4547 | 126 |
| 0 | 19 | 25 |
| 1 | 58 | 25 |
| 2 | 191 | 22 |
| 3 | 947 | 21 |
| 4 | 4970 | 20 |
| 0 | 8329 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| Outputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| Inputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
| Outputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1)) |
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1)) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
(/ (/ (fma (square t) -5 1) (* (* v (PI)) (sqrt (fma (square t) -6 2)))) (fnmadd t t 1)) |
(abs v)
(negabs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 1 | (9.904750879107794e-163 3.1026854577884405e+159) | 0 | - | (*.f64 #s(literal 3 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
| 0 | 1 | (9.904750879107794e-163 3.1026854577884405e+159) | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 112.0ms | 512× | 0 | valid |
Compiled 282 to 59 computations (79.1% saved)
ival-mult: 25.0ms (54.6% of total)ival-sub: 9.0ms (19.7% of total)ival-sqrt: 4.0ms (8.7% of total)ival-div: 3.0ms (6.6% of total)ival-pi: 2.0ms (4.4% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)Compiled 28 to 19 computations (32.1% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
Compiled 28 to 19 computations (32.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v #s(literal -5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| 2860× | *-lowering-*.f32 |
| 2860× | *-lowering-*.f64 |
| 2224× | fma-define |
| 1922× | +-lowering-+.f64 |
| 1922× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 1 | 47 | 95 |
| 2 | 120 | 90 |
| 3 | 343 | 90 |
| 4 | 1039 | 88 |
| 5 | 1940 | 88 |
| 6 | 4607 | 88 |
| 0 | 8132 | 88 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(* (PI) t) |
(PI) |
t |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
6 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
6 |
#s(literal 6 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 44.0ms | 256× | 0 | valid |
Compiled 114 to 20 computations (82.5% saved)
ival-mult: 14.0ms (56.2% of total)ival-sub: 3.0ms (12% of total)ival-div: 3.0ms (12% of total)ival-sqrt: 2.0ms (8% of total)ival-pi: 1.0ms (4% of total)ival-add: 1.0ms (4% of total)const: 1.0ms (4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (* v -5)> |
#<alt (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))> |
#<alt (* (PI) t)> |
#<alt (* (* v v) 6)> |
| Outputs |
|---|
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)> |
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | inf | (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
| 2.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | inf | (+ 1 (* v (* v -5))) |
| 1× | batch-egg-rewrite |
| 6000× | *-lowering-*.f32 |
| 6000× | *-lowering-*.f64 |
| 2966× | /-lowering-/.f32 |
| 2966× | /-lowering-/.f64 |
| 1332× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 59 |
| 1 | 112 | 57 |
| 2 | 842 | 55 |
| 0 | 8439 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(* v -5) |
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(* (PI) t) |
(* (* v v) 6) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal -125 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))))) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) t)) |
(*.f64 t (PI.f64)) |
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) t)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) t))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) t))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) t))) |
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64)) |
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 v #s(literal 6 binary64)) v) |
| 1× | egg-herbie |
| 4342× | *-lowering-*.f32 |
| 4342× | *-lowering-*.f64 |
| 2452× | +-lowering-+.f64 |
| 2452× | +-lowering-+.f32 |
| 1838× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2136 |
| 1 | 767 | 1801 |
| 2 | 3506 | 1765 |
| 0 | 8101 | 1765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -27/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) #s(literal -1 binary64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
Compiled 20184 to 1463 computations (92.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 5 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 5 | 538 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ▶ | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| ▶ | 99.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| ▶ | 98.7% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ▶ | 98.2% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
Compiled 216 to 154 computations (28.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (*.f64 v #s(literal -5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 t (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| 2914× | *-lowering-*.f32 |
| 2914× | *-lowering-*.f64 |
| 2110× | +-lowering-+.f64 |
| 2110× | +-lowering-+.f32 |
| 1480× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 348 |
| 1 | 82 | 336 |
| 2 | 183 | 323 |
| 3 | 429 | 318 |
| 4 | 1136 | 318 |
| 5 | 1998 | 318 |
| 6 | 4468 | 318 |
| 0 | 8031 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t)) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
6 |
(* (- 1 (* v v)) t) |
(- 1 (* v v)) |
t |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
1/2 |
(* t (PI)) |
t |
(PI) |
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (* t (PI)) (sqrt 2)) |
(* t (PI)) |
t |
(PI) |
(sqrt 2) |
2 |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) (* (PI) t)) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
6 |
(- 1 (* v v)) |
(* (PI) t) |
(PI) |
t |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (PI) t) |
(PI) |
t |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
6 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* v v) |
(*.f64 v v) |
6 |
#s(literal 6 binary64) |
(* (- 1 (* v v)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
t |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
t |
(PI) |
(PI.f64) |
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (* t (PI)) (sqrt 2)) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
t |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) (* (PI) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* v v) |
(*.f64 v v) |
6 |
#s(literal 6 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) (- 1 (* v v))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) t)) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* v v) |
(*.f64 v v) |
6 |
#s(literal 6 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 t (PI.f64)) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 t (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
| 154.0ms | 256× | 0 | valid |
Compiled 396 to 34 computations (91.4% saved)
ival-mult: 39.0ms (56.6% of total)ival-div: 17.0ms (24.7% of total)ival-sqrt: 6.0ms (8.7% of total)ival-sub: 4.0ms (5.8% of total)ival-pi: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t)))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (sqrt 1/2)> |
#<alt (* t (PI))> |
#<alt (PI)> |
#<alt (/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2)))> |
#<alt (* v -5)> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) (* (PI) t))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))> |
#<alt (/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) (- 1 (* v v)))> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6))))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) t))> |
#<alt (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t))> |
#<alt (* (* v v) 6)> |
#<alt (* (* t (PI)) (sqrt 2))> |
#<alt (* (PI) t)> |
| Outputs |
|---|
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)> |
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
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#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (* t (sqrt 2))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2)))))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (sqrt -6)))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2))) |
| 2.0ms | t | @ | inf | (/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) (- 1 (* v v))) |
| 1.0ms | t | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2))) |
| 1.0ms | v | @ | inf | (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) |
| 1.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
| 1× | batch-egg-rewrite |
| 3708× | *-lowering-*.f32 |
| 3708× | *-lowering-*.f64 |
| 3632× | /-lowering-/.f32 |
| 3632× | /-lowering-/.f64 |
| 1144× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 189 |
| 1 | 202 | 180 |
| 2 | 1595 | 174 |
| 0 | 8368 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
(* t (PI)) |
(PI) |
(/ (+ 1 (* v (* v -5))) (* (* t (PI)) (sqrt 2))) |
(* v -5) |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) (* (PI) t)) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (- 2 (* (* v v) 6)))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(* (sqrt (- 2 (* (* v v) 6))) (* (- 1 (* v v)) t)) |
(* (* v v) 6) |
(* (* t (PI)) (sqrt 2)) |
(* (PI) t) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t)))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(neg.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (PI.f64)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) t))) |
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64))) t)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (PI.f64)) (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) t))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))) |
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(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 t (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 t (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (neg.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) t)) |
(*.f64 t (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(*.f64 (/.f64 t (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))) |
(*.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal 6 binary64)) v) |
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) t) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 #s(literal -1 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) t)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))) |
(/.f64 t (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(*.f64 t (PI.f64)) |
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (PI.f64)) |
| 1× | egg-herbie |
| 4724× | *-lowering-*.f32 |
| 4724× | *-lowering-*.f64 |
| 2892× | +-lowering-+.f64 |
| 2892× | +-lowering-+.f32 |
| 2508× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 6721 |
| 1 | 1283 | 5532 |
| 2 | 5446 | 5427 |
| 0 | 8080 | 5427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
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(sqrt 1/2) |
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(/ (sqrt 1/2) (* t (PI))) |
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(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
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(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
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(* -5 (/ (* v (sqrt -1/6)) (* t (PI)))) |
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(* 5 (/ (* v (sqrt -1/6)) (* t (PI)))) |
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(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
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(/ 1 (* t (PI))) |
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(* -5 (/ (pow v 2) (* t (PI)))) |
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(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
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(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
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(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
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(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(* t (sqrt 2)) |
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(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 135/32 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (PI.f64)) t))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) t) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))))) (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -5/2 binary64) t) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 5/1296 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) t) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (-.f64 (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 t (*.f64 (PI.f64) v))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) t) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))))) (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -5/2 binary64) t) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 5/1296 binary64) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) t) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (-.f64 (+.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))) (-.f64 #s(literal 0 binary64) v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (PI.f64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 t #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64)))))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) t))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 t (*.f64 v v)))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 (+.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 t (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 t (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 t (*.f64 v v)))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 (+.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 t (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (sqrt.f64 #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (- 1 (pow v 2))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
Compiled 55222 to 3279 computations (94.1% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1900 | 10 | 1910 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1903 | 12 | 1915 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 98.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) | |
| ▶ | 98.8% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ▶ | 98.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) | |
| ▶ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) | |
| ✓ | 98.2% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ▶ | 98.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 98.2% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) | |
| 98.2% | (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) | |
| ▶ | 98.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
Compiled 278 to 232 computations (16.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 t (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| 126× | *-lowering-*.f32 |
| 126× | *-lowering-*.f64 |
| 86× | /-lowering-/.f32 |
| 86× | /-lowering-/.f64 |
| 54× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 156 |
| 1 | 57 | 142 |
| 2 | 91 | 141 |
| 3 | 140 | 141 |
| 4 | 159 | 141 |
| 5 | 178 | 141 |
| 6 | 204 | 141 |
| 7 | 204 | 141 |
| 0 | 204 | 141 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* (sqrt 2) t) |
(sqrt 2) |
2 |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
1/2 |
t |
(PI) |
(* (/ 1 (* (PI) t)) (sqrt 1/2)) |
(/ 1 (* (PI) t)) |
1 |
(* (PI) t) |
(PI) |
t |
(sqrt 1/2) |
1/2 |
(/ 1 (* (* t (PI)) (sqrt 2))) |
1 |
(* (* t (PI)) (sqrt 2)) |
(* t (PI)) |
t |
(PI) |
(sqrt 2) |
2 |
(/ (/ (+ 1 (* v (* v -5))) t) (* (PI) (sqrt 2))) |
(/ (+ 1 (* v (* v -5))) t) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
t |
(* (PI) (sqrt 2)) |
(PI) |
(sqrt 2) |
2 |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(* (sqrt 2) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
t |
(PI) |
(PI.f64) |
(* (/ 1 (* (PI) t)) (sqrt 1/2)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/ 1 (* (PI) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
1 |
#s(literal 1 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (* (* t (PI)) (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(* (* t (PI)) (sqrt 2)) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
t |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ (+ 1 (* v (* v -5))) t) (* (PI) (sqrt 2))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/ (+ 1 (* v (* v -5))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
t |
(* (PI) (sqrt 2)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 t (PI.f64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| 84.0ms | 256× | 0 | valid |
Compiled 163 to 27 computations (83.4% saved)
ival-div: 21.0ms (49.5% of total)ival-mult: 14.0ms (33% of total)ival-sqrt: 4.0ms (9.4% of total)ival-pi: 1.0ms (2.4% of total)ival-add: 1.0ms (2.4% of total)const: 1.0ms (2.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (/ (/ (sqrt 1/2) t) (PI))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (sqrt 1/2)> |
#<alt (PI)> |
#<alt (* (/ 1 (* (PI) t)) (sqrt 1/2))> |
#<alt (/ 1 (* (PI) t))> |
#<alt (* (PI) t)> |
#<alt (/ 1 (* (* t (PI)) (sqrt 2)))> |
#<alt (* (* t (PI)) (sqrt 2))> |
#<alt (* t (PI))> |
#<alt (/ (/ (+ 1 (* v (* v -5))) t) (* (PI) (sqrt 2)))> |
#<alt (/ (+ 1 (* v (* v -5))) t)> |
#<alt (* (sqrt 2) t)> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 t)> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (* -5 (/ (pow v 2) t))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* -5 (/ (pow v 2) t))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/ 1 (* (* t (PI)) (sqrt 2))) |
| 0.0ms | t | @ | inf | (/ 1 (* (* t (PI)) (sqrt 2))) |
| 0.0ms | t | @ | 0 | (/ 1 (* (PI) t)) |
| 0.0ms | t | @ | inf | (* (sqrt 2) t) |
| 0.0ms | t | @ | 0 | (/ (sqrt 1/2) t) |
| 1× | batch-egg-rewrite |
| 5626× | *-lowering-*.f32 |
| 5626× | *-lowering-*.f64 |
| 4236× | /-lowering-/.f32 |
| 4236× | /-lowering-/.f64 |
| 744× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 104 |
| 1 | 140 | 93 |
| 2 | 972 | 92 |
| 0 | 8245 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
(PI) |
(* (/ 1 (* (PI) t)) (sqrt 1/2)) |
(/ 1 (* (PI) t)) |
(* (PI) t) |
(/ 1 (* (* t (PI)) (sqrt 2))) |
(* (* t (PI)) (sqrt 2)) |
(* t (PI)) |
(/ (/ (+ 1 (* v (* v -5))) t) (* (PI) (sqrt 2))) |
(/ (+ 1 (* v (* v -5))) t) |
(* (sqrt 2) t) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
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(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))) (-.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) t) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) t) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) |
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) t)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) t))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(*.f64 (*.f64 t (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) t)) |
| 1× | egg-herbie |
| 4992× | *-lowering-*.f32 |
| 4992× | *-lowering-*.f64 |
| 2318× | /-lowering-/.f32 |
| 2318× | /-lowering-/.f64 |
| 1376× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 1812 |
| 1 | 122 | 1700 |
| 2 | 312 | 1700 |
| 3 | 1012 | 1434 |
| 4 | 4358 | 1404 |
| 0 | 8386 | 1404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(* -5 (/ (pow v 2) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -5 (/ (pow v 2) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
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(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* -5 (/ (pow v 2) t)) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* -5 (/ (pow v 2) t)) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) t) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
Compiled 38904 to 3653 computations (90.6% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2056 | 9 | 2065 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2063 | 14 | 2077 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ▶ | 99.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
| ▶ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ▶ | 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
| 98.6% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) | |
| ▶ | 98.8% | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) | |
| 98.7% | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) | |
| 98.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) | |
| ✓ | 98.2% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ✓ | 98.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| ▶ | 98.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
Compiled 300 to 254 computations (15.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
| 146× | *-lowering-*.f32 |
| 146× | *-lowering-*.f64 |
| 114× | /-lowering-/.f32 |
| 114× | /-lowering-/.f64 |
| 58× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 135 |
| 1 | 58 | 127 |
| 2 | 103 | 125 |
| 3 | 168 | 125 |
| 4 | 216 | 125 |
| 5 | 239 | 125 |
| 0 | 239 | 125 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t) |
(/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (PI) (sqrt 2)) |
(PI) |
(sqrt 2) |
2 |
t |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
1/2 |
(PI) |
t |
(/ (/ 1 (PI)) (* (sqrt 2) t)) |
(/ 1 (PI)) |
1 |
(PI) |
(* (sqrt 2) t) |
(sqrt 2) |
2 |
t |
(/ (/ 1 (* (PI) t)) (sqrt 2)) |
(/ 1 (* (PI) t)) |
1 |
(* (PI) t) |
(PI) |
t |
(sqrt 2) |
2 |
(* (/ 1 (* (PI) t)) (/ 1 (pow 1/2 -1/2))) |
(/ 1 (* (PI) t)) |
1 |
(* (PI) t) |
(PI) |
t |
(/ 1 (pow 1/2 -1/2)) |
(pow 1/2 -1/2) |
1/2 |
-1/2 |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (PI) (sqrt 2)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ (sqrt 1/2) (PI)) t) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/ (sqrt 1/2) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
t |
(/ (/ 1 (PI)) (* (sqrt 2) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(* (sqrt 2) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ 1 (* (PI) t)) (sqrt 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/ 1 (* (PI) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
1 |
#s(literal 1 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (/ 1 (* (PI) t)) (/ 1 (pow 1/2 -1/2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/ 1 (* (PI) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
1 |
#s(literal 1 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(/ 1 (pow 1/2 -1/2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(pow 1/2 -1/2) |
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | accuracy | 98.4% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| 92.0ms | 256× | 0 | valid |
Compiled 146 to 28 computations (80.8% saved)
ival-div: 19.0ms (40.1% of total)ival-mult: 11.0ms (23.2% of total)ival-pow: 6.0ms (12.7% of total)ival-pi: 5.0ms (10.5% of total)ival-sqrt: 4.0ms (8.4% of total)ival-add: 1.0ms (2.1% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t)> |
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2)))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (/ (/ (sqrt 1/2) (PI)) t)> |
#<alt (/ (sqrt 1/2) (PI))> |
#<alt (sqrt 1/2)> |
#<alt (PI)> |
#<alt (/ (/ 1 (PI)) (* (sqrt 2) t))> |
#<alt (/ 1 (PI))> |
#<alt (* (sqrt 2) t)> |
#<alt (/ (/ 1 (* (PI) t)) (sqrt 2))> |
#<alt (/ 1 (* (PI) t))> |
#<alt (* (PI) t)> |
#<alt (* (/ 1 (* (PI) t)) (/ 1 (pow 1/2 -1/2)))> |
#<alt (sqrt 2)> |
#<alt (/ 1 (pow 1/2 -1/2))> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* (PI) (sqrt 2)))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) |
| 0.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) |
| 0.0ms | v | @ | 0 | (/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t) |
| 0.0ms | t | @ | inf | (/ (/ (sqrt 1/2) (PI)) t) |
| 0.0ms | v | @ | inf | (/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t) |
| 1× | batch-egg-rewrite |
| 5544× | *-lowering-*.f32 |
| 5544× | *-lowering-*.f64 |
| 3834× | /-lowering-/.f32 |
| 3834× | /-lowering-/.f64 |
| 1254× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 88 |
| 1 | 160 | 79 |
| 2 | 1107 | 79 |
| 0 | 8439 | 79 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) t) |
(/ (+ 1 (* v (* v -5))) (* (PI) (sqrt 2))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
(PI) |
(/ (/ 1 (PI)) (* (sqrt 2) t)) |
(/ 1 (PI)) |
(* (sqrt 2) t) |
(/ (/ 1 (* (PI) t)) (sqrt 2)) |
(/ 1 (* (PI) t)) |
(* (PI) t) |
(* (/ 1 (* (PI) t)) (/ 1 (pow 1/2 -1/2))) |
(sqrt 2) |
(/ 1 (pow 1/2 -1/2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(/.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (neg.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (neg.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (PI.f64)) (*.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) (PI.f64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
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(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64))) |
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 3948× | *-lowering-*.f32 |
| 3948× | *-lowering-*.f64 |
| 2248× | /-lowering-/.f32 |
| 2248× | /-lowering-/.f64 |
| 1658× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1180 |
| 1 | 104 | 1114 |
| 2 | 313 | 1046 |
| 3 | 1010 | 914 |
| 4 | 3678 | 914 |
| 5 | 6563 | 914 |
| 0 | 8233 | 914 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (* (PI) (sqrt 2))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 v (*.f64 #s(literal -5 binary64) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 v (*.f64 #s(literal -5 binary64) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64)))) |
(/ 1 (* (PI) (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(/.f64 (*.f64 v (*.f64 #s(literal -5 binary64) v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(/.f64 (*.f64 v (*.f64 #s(literal -5 binary64) v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) v))) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(* -5 (pow v 2)) |
(*.f64 v (*.f64 #s(literal -5 binary64) v)) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(/ 1 (* t (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
Compiled 29936 to 3514 computations (88.3% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1942 | 3 | 1945 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1947 | 12 | 1959 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 99.1% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) | |
| ✓ | 99.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
| ✓ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
| 98.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) | |
| ✓ | 98.2% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ✓ | 98.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 98.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) | |
| 98.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 538 to 223 computations (58.6% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
5 calls:
| 23.0ms | v |
| 12.0ms | (*.f64 (PI.f64) t) |
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 8.0ms | t |
| 7.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | t |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.5% | 1 | (*.f64 v v) |
| 99.5% | 1 | (*.f64 (PI.f64) t) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
3 calls:
| 7.0ms | (*.f64 (PI.f64) t) |
| 7.0ms | t |
| 7.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | v |
| 99.4% | 1 | t |
| 99.4% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
3 calls:
| 9.0ms | v |
| 7.0ms | (*.f64 (PI.f64) t) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | v |
| 99.1% | 1 | t |
| 99.1% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
3 calls:
| 4.0ms | (*.f64 (PI.f64) t) |
| 4.0ms | t |
| 4.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | t |
| 98.8% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | t |
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | t |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | t |
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | t |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
| Outputs |
|---|
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
3 calls:
| 2.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | v |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | v |
| 98.2% | 1 | t |
| 98.2% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
2 calls:
| 1.0ms | v |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | t |
| 98.2% | 1 | v |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 96 |
| 1 | 64 | 96 |
| 2 | 79 | 96 |
| 3 | 87 | 96 |
| 4 | 92 | 96 |
| 5 | 93 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| 6000× | *-lowering-*.f32 |
| 6000× | *-lowering-*.f64 |
| 5626× | *-lowering-*.f32 |
| 5626× | *-lowering-*.f64 |
| 5020× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 25 |
| 1 | 58 | 25 |
| 2 | 191 | 22 |
| 3 | 947 | 21 |
| 4 | 4970 | 20 |
| 0 | 8329 | 20 |
| 0 | 41 | 1180 |
| 1 | 104 | 1114 |
| 2 | 313 | 1046 |
| 3 | 1010 | 914 |
| 4 | 3678 | 914 |
| 5 | 6563 | 914 |
| 0 | 8233 | 914 |
| 0 | 26 | 104 |
| 1 | 140 | 93 |
| 2 | 972 | 92 |
| 0 | 8245 | 92 |
| 0 | 232 | 2136 |
| 1 | 767 | 1801 |
| 2 | 3506 | 1765 |
| 0 | 8101 | 1765 |
| 0 | 33 | 189 |
| 1 | 202 | 180 |
| 2 | 1595 | 174 |
| 0 | 8368 | 174 |
| 0 | 384 | 6721 |
| 1 | 1283 | 5532 |
| 2 | 5446 | 5427 |
| 0 | 8080 | 5427 |
| 0 | 19 | 59 |
| 1 | 112 | 57 |
| 2 | 842 | 55 |
| 0 | 8439 | 55 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 296 to 210 computations (29.1% saved)
(negabs t)
(abs v)
Compiled 816 to 496 computations (39.2% saved)
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