
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 6.2% | 93.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 6.2% | 93.8% | 0% | 0% | 0% | 1 |
| 50% | 3.1% | 3.1% | 93.8% | 0% | 0% | 0% | 2 |
| 50% | 3.1% | 3.1% | 93.8% | 0% | 0% | 0% | 3 |
| 75% | 4.7% | 1.6% | 93.8% | 0% | 0% | 0% | 4 |
| 75% | 4.7% | 1.6% | 93.8% | 0% | 0% | 0% | 5 |
| 87.5% | 5.5% | 0.8% | 93.8% | 0% | 0% | 0% | 6 |
| 87.5% | 5.5% | 0.8% | 93.8% | 0% | 0% | 0% | 7 |
| 93.8% | 5.8% | 0.4% | 93.8% | 0% | 0% | 0% | 8 |
| 93.8% | 5.8% | 0.4% | 93.8% | 0% | 0% | 0% | 9 |
| 96.9% | 6% | 0.2% | 93.8% | 0% | 0% | 0% | 10 |
| 96.9% | 6% | 0.2% | 93.8% | 0% | 0% | 0% | 11 |
| 98.4% | 6.1% | 0.1% | 93.8% | 0% | 0% | 0% | 12 |
Compiled 35 to 27 computations (22.9% saved)
| 1.5s | 8 256× | 0 | valid |
ival-mult: 238.0ms (25% of total)ival-cos: 217.0ms (22.8% of total)ival-log: 112.0ms (11.8% of total)ival-sqrt: 92.0ms (9.7% of total)ival-div: 91.0ms (9.6% of total)ival-<=: 83.0ms (8.7% of total)ival-add: 38.0ms (4% of total)ival-pi: 32.0ms (3.4% of total)exact: 23.0ms (2.4% of total)ival-and: 20.0ms (2.1% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 118× | sub-neg |
| 110× | associate-*l* |
| 92× | *-commutative |
| 86× | associate-*r* |
| 82× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 86 |
| 1 | 88 | 82 |
| 2 | 194 | 82 |
| 3 | 374 | 82 |
| 4 | 440 | 82 |
| 5 | 503 | 82 |
| 6 | 585 | 82 |
| 7 | 626 | 82 |
| 8 | 682 | 82 |
| 9 | 704 | 82 |
| 10 | 704 | 82 |
| 0 | 19 | 16 |
| 1 | 32 | 16 |
| 2 | 46 | 16 |
| 3 | 50 | 16 |
| 0 | 50 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
| Outputs |
|---|
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)) |
(abs u2)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | (log.f64 u1) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (PI.f64)) |
| 0 | 0 | - | 0 | - | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 64.0ms | 512× | 0 | valid |
Compiled 212 to 76 computations (64.2% saved)
ival-mult: 15.0ms (37.3% of total)ival-log: 7.0ms (17.4% of total)ival-div: 5.0ms (12.4% of total)ival-cos: 4.0ms (9.9% of total)ival-sqrt: 3.0ms (7.5% of total)ival-pi: 2.0ms (5% of total)ival-add: 2.0ms (5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
Compiled 21 to 18 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 5824 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 52× | *-lowering-*.f32 |
| 52× | *-lowering-*.f64 |
| 22× | *-commutative |
| 12× | associate-*r* |
| 12× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 71 |
| 1 | 32 | 71 |
| 2 | 46 | 71 |
| 3 | 50 | 71 |
| 0 | 50 | 70 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (pow (* -2 (log u1)) 1/2)) |
(/ 1 6) |
1 |
6 |
(pow (* -2 (log u1)) 1/2) |
(* -2 (log u1)) |
-2 |
(log u1) |
u1 |
1/2 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
| Outputs |
|---|
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)) |
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) |
(* (/ 1 6) (pow (* -2 (log u1)) 1/2)) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
(/ 1 6) |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(pow (* -2 (log u1)) 1/2) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
-2 |
#s(literal -2 binary64) |
(log u1) |
(log.f64 u1) |
u1 |
1/2 |
#s(literal 1/2 binary64) |
(cos (* (* 2 (PI)) u2)) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) |
(* (* 2 (PI)) u2) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) |
(* 2 (PI)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
2 |
#s(literal 2 binary64) |
(PI) |
(PI.f64) |
u2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 34.0ms | 256× | 0 | valid |
Compiled 85 to 20 computations (76.5% saved)
ival-mult: 12.0ms (50.8% of total)ival-log: 3.0ms (12.7% of total)ival-div: 2.0ms (8.5% of total)ival-cos: 2.0ms (8.5% of total)ival-sqrt: 2.0ms (8.5% of total)ival-pi: 1.0ms (4.2% of total)ival-add: 1.0ms (4.2% of total)exact: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (* -2 (log u1)) 1/2)> |
#<alt (/ 1 6)> |
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)> |
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))> |
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))> |
#<alt (* (* 2 (PI)) u2)> |
| Outputs |
|---|
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))> |
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | u1 | @ | 0 | (pow (* -2 (log u1)) 1/2) |
| 22.0ms | u1 | @ | -inf | (pow (* -2 (log u1)) 1/2) |
| 13.0ms | u2 | @ | inf | (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
| 6.0ms | u1 | @ | inf | (pow (* -2 (log u1)) 1/2) |
| 2.0ms | u1 | @ | 0 | (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
| 1× | batch-egg-rewrite |
| 2 664× | accelerator-lowering-fma.f32 |
| 2 664× | accelerator-lowering-fma.f64 |
| 2 636× | *-lowering-*.f32 |
| 2 636× | *-lowering-*.f64 |
| 550× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 70 | 48 |
| 2 | 361 | 48 |
| 0 | 2832 | 47 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (* -2 (log u1)) 1/2) |
(/ 1 6) |
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (pow (* -2 (log u1)) 1/2)) |
(* (* 2 (PI)) u2) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
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(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
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#s(literal 1/6 binary64) |
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(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1)))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) |
(*.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 1/6 binary64) (sqrt.f64 (log.f64 u1))))) |
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) u2))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
(*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) u2))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) u2)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) u2)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) u2) (PI.f64)) |
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 43 450× | accelerator-lowering-fma.f32 |
| 43 450× | accelerator-lowering-fma.f64 |
| 7 804× | +-lowering-+.f64 |
| 7 804× | +-lowering-+.f32 |
| 5 834× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1292 |
| 1 | 205 | 1260 |
| 2 | 623 | 1232 |
| 3 | 2201 | 1204 |
| 4 | 2811 | 1198 |
| 5 | 3922 | 1198 |
| 6 | 5352 | 1198 |
| 7 | 5480 | 1198 |
| 8 | 5542 | 1198 |
| 9 | 5559 | 1198 |
| 10 | 5565 | 1198 |
| 11 | 5565 | 1198 |
| 12 | 7993 | 1198 |
| 13 | 7993 | 1198 |
| 14 | 7993 | 1198 |
| 0 | 8013 | 1162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))) |
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
| Outputs |
|---|
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (log (/ 1 u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) |
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64)))) |
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
(* 2 (* u2 (PI))) |
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))) |
Compiled 7 603 to 697 computations (90.8% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 16 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 16 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)) | |
| 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) | |
| ▶ | 0.0% | (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| 99.1% | (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))) | |
| 99.2% | (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) | |
| 99.2% | (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64)))) | |
| 98.7% | (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) | |
| ▶ | 99.0% | (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 99.5% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) | |
| ▶ | 99.3% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ▶ | 98.9% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ▶ | 99.6% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 98.9% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
Compiled 918 to 628 computations (31.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 7040 | (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 25792 | (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 12288 | (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 u1) |
| ✓ | cost-diff | 0 | (sqrt.f64 (log.f64 u1)) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| 364× | *-lowering-*.f32 |
| 364× | *-lowering-*.f64 |
| 226× | associate-*r* |
| 146× | associate-*l* |
| 106× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 398 |
| 1 | 91 | 384 |
| 2 | 169 | 372 |
| 3 | 319 | 372 |
| 4 | 359 | 372 |
| 5 | 363 | 372 |
| 6 | 371 | 372 |
| 7 | 372 | 372 |
| 0 | 372 | 367 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(/ 1 6) |
1 |
6 |
(* (sqrt (neg (log u1))) (sqrt 2)) |
(sqrt (neg (log u1))) |
(neg (log u1)) |
(log u1) |
u1 |
(sqrt 2) |
2 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
(PI) |
u2 |
1/2 |
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2) |
(sqrt (log u1)) |
(log u1) |
u1 |
(* (sqrt -2) 1/6) |
(sqrt -2) |
-2 |
1/6 |
1/2 |
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) |
(/ 1 6) |
1 |
6 |
(pow (pow (* -2 (log u1)) 1/4) 2) |
(pow (* -2 (log u1)) 1/4) |
(* -2 (log u1)) |
-2 |
(log u1) |
u1 |
1/4 |
2 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
(PI) |
u2 |
1/2 |
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) |
(/ 1 6) |
1 |
6 |
(pow (exp 1/2) (log (* -2 (log u1)))) |
(exp 1/2) |
1/2 |
(log (* -2 (log u1))) |
(* -2 (log u1)) |
-2 |
(log u1) |
u1 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) |
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) |
(pow (* -2 (log u1)) 1/8) |
(* -2 (log u1)) |
-2 |
(log u1) |
u1 |
1/8 |
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
(* 1/6 (pow (* -2 (log u1)) 1/4)) |
1/6 |
(pow (* -2 (log u1)) 1/4) |
1/4 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
1/2 |
| Outputs |
|---|
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))) #s(literal 1/2 binary64)) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 6) |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(* (sqrt (neg (log u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt (neg (log u1))) |
(sqrt.f64 (neg.f64 (log.f64 u1))) |
(neg (log u1)) |
(neg.f64 (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(cos (* (* 2 (PI)) u2)) |
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) |
(* (* 2 (PI)) u2) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)) |
(* 2 (PI)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
(PI) |
(PI.f64) |
u2 |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(sqrt (log u1)) |
(sqrt.f64 (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
(* (sqrt -2) 1/6) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) |
(sqrt -2) |
(sqrt.f64 #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) |
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(/ 1 6) |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(pow (pow (* -2 (log u1)) 1/4) 2) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(pow (* -2 (log u1)) 1/4) |
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(log u1) |
(log.f64 u1) |
u1 |
1/4 |
#s(literal 1/4 binary64) |
2 |
#s(literal 2 binary64) |
(cos (* (* 2 (PI)) u2)) |
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) |
(* (* 2 (PI)) u2) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)) |
(* 2 (PI)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
(PI) |
(PI.f64) |
u2 |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64)) |
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))) |
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) |
(/ 1 6) |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(pow (exp 1/2) (log (* -2 (log u1)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(exp 1/2) |
(exp.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(log (* -2 (log u1))) |
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(log u1) |
(log.f64 u1) |
u1 |
(cos (* (* 2 (PI)) u2)) |
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) |
(* (* 2 (PI)) u2) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)) |
(* 2 (PI)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
2 |
#s(literal 2 binary64) |
(PI) |
(PI.f64) |
u2 |
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) |
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(pow (* -2 (log u1)) 1/8) |
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(log u1) |
(log.f64 u1) |
u1 |
1/8 |
#s(literal 1/8 binary64) |
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) |
(* 1/6 (pow (* -2 (log u1)) 1/4)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(pow (* -2 (log u1)) 1/4) |
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(cos (* (* 2 (PI)) u2)) |
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) |
(* (* 2 (PI)) u2) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)) |
(* 2 (PI)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
2 |
#s(literal 2 binary64) |
(PI) |
(PI.f64) |
u2 |
1/2 |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 100.0% | (exp.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (log.f64 u1)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 u1)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| ✓ | accuracy | 3.1% | (PI.f64) |
| 104.0ms | 256× | 0 | invalid |
Compiled 459 to 48 computations (89.5% saved)
ival-mult: 20.0ms (26.6% of total)ival-pow: 13.0ms (17.3% of total)ival-log: 8.0ms (10.6% of total)ival-div: 6.0ms (8% of total)ival-add: 6.0ms (8% of total)const: 6.0ms (8% of total)ival-sqrt: 6.0ms (8% of total)ival-exp: 3.0ms (4% of total)ival-pow2: 3.0ms (4% of total)ival-cos: 2.0ms (2.7% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 6)> |
#<alt (+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)> |
#<alt (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))> |
#<alt (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2)))> |
#<alt (+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)> |
#<alt (sqrt (log u1))> |
#<alt (log u1)> |
#<alt (* (sqrt -2) 1/6)> |
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)> |
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)> |
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))> |
#<alt (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)> |
#<alt (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))> |
#<alt (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))> |
#<alt (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))> |
#<alt (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))> |
#<alt (+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)> |
#<alt (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))> |
#<alt (PI)> |
#<alt (cos (* (* 2 (PI)) u2))> |
#<alt (neg (log u1))> |
#<alt (sqrt -2)> |
#<alt (* -2 (log u1))> |
#<alt (exp 1/2)> |
| Outputs |
|---|
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))> |
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))> |
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#<alt (* 1/6 (pow (* -8 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/8))> |
#<alt (* 1/6 (pow (* -8 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/8))> |
#<alt (* 1/6 (pow (* -8 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/8))> |
#<alt (* 1/6 (pow (* -8 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/8))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1)))))))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))> |
#<alt (+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))))> |
#<alt (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))> |
#<alt (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1))))))))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | u1 | @ | 0 | (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
| 48.0ms | u1 | @ | 0 | (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) |
| 33.0ms | u2 | @ | inf | (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) |
| 29.0ms | u1 | @ | inf | (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
| 22.0ms | u1 | @ | -inf | (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
| 1× | batch-egg-rewrite |
| 5 748× | accelerator-lowering-fma.f32 |
| 5 748× | accelerator-lowering-fma.f64 |
| 4 030× | *-lowering-*.f32 |
| 4 030× | *-lowering-*.f64 |
| 1 710× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 211 |
| 1 | 200 | 209 |
| 2 | 1282 | 191 |
| 3 | 6954 | 191 |
| 0 | 8884 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 6) |
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2) |
(sqrt (log u1)) |
(log u1) |
(* (sqrt -2) 1/6) |
(pow (pow (* -2 (log u1)) 1/4) 2) |
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) |
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) |
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) |
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) |
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))) |
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2) |
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) |
(PI) |
(cos (* (* 2 (PI)) u2)) |
(neg (log u1)) |
(sqrt -2) |
(* -2 (log u1)) |
(exp 1/2) |
| Outputs |
|---|
#s(literal 1/6 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))) |
(log.f64 (/.f64 #s(literal 1 binary64) u1)) |
(+.f64 (neg.f64 (log.f64 u1)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 u1))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 u1)))) |
(+.f64 (log.f64 (pow.f64 u1 #s(literal -1/2 binary64))) (log.f64 (pow.f64 u1 #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 u1)) |
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 u1)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 u1))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 u1)) (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (log.f64 u1))) |
(fma.f64 (log.f64 u1) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 u1) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 u1)) #s(literal 0 binary64)) |
(neg.f64 (log.f64 u1)) |
(neg.f64 (log.f64 (neg.f64 (neg.f64 u1)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 u1) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (log.f64 u1)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (neg.f64 (log.f64 u1))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 u1)) (neg.f64 (log.f64 u1))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 u1)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 u1)) (neg.f64 (log.f64 u1)))) (log.f64 u1)) |
(pow.f64 (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 u1) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (log.f64 u1) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 u1)) |
(*.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 u1))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal -2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 #s(literal -2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))) |
(pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (log.f64 u1)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 u1)) |
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) |
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(*.f64 (log.f64 u1) (exp.f64 (log.f64 #s(literal -2 binary64)))) |
(*.f64 (log.f64 u1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 u1))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))) |
(*.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (log.f64 u1)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (log.f64 u1)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (log.f64 u1))) |
(exp.f64 #s(literal 1/2 binary64)) |
(pow.f64 (E.f64) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 11 730× | accelerator-lowering-fma.f32 |
| 11 730× | accelerator-lowering-fma.f64 |
| 5 090× | *-lowering-*.f32 |
| 5 090× | *-lowering-*.f64 |
| 4 460× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 5404 |
| 1 | 658 | 5248 |
| 2 | 2169 | 5104 |
| 3 | 2953 | 5032 |
| 4 | 5122 | 5020 |
| 5 | 6361 | 5020 |
| 0 | 8104 | 4858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))) |
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
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(+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))) |
(+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))) |
(+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1)))))))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
| Outputs |
|---|
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))) |
(fma.f64 u2 (*.f64 u2 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64)) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)))) |
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))) |
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) |
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(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) |
(* -1 (log u1)) |
(neg.f64 (log.f64 u1)) |
(* -1 (log u1)) |
(neg.f64 (log.f64 u1)) |
(* -1 (log u1)) |
(neg.f64 (log.f64 u1)) |
(* -1 (log u1)) |
(neg.f64 (log.f64 u1)) |
(log (/ 1 u1)) |
(neg.f64 (log.f64 u1)) |
(log (/ 1 u1)) |
(neg.f64 (log.f64 u1)) |
(log (/ 1 u1)) |
(neg.f64 (log.f64 u1)) |
(log (/ 1 u1)) |
(neg.f64 (log.f64 u1)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* 2 (log (/ 1 u1))) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* 2 (log (/ 1 u1))) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* 2 (log (/ 1 u1))) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* 2 (log (/ 1 u1))) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))) |
Compiled 54 626 to 3 707 computations (93.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 755 | 9 | 1 764 |
| Fresh | 10 | 1 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 770 | 10 | 1 780 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) | |
| ▶ | 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ▶ | 98.0% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| 98.1% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) | |
| ▶ | 97.9% | (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 99.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) | |
| 97.8% | (/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) | |
| ▶ | 97.8% | (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
| ▶ | 98.7% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
| 98.0% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
Compiled 376 to 296 computations (21.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 u1)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 (log.f64 u1))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 u1) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 u1) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 7 902× | *-lowering-*.f32 |
| 7 902× | *-lowering-*.f64 |
| 7 770× | associate-*r* |
| 3 384× | accelerator-lowering-fma.f32 |
| 3 384× | accelerator-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 277 |
| 1 | 104 | 277 |
| 2 | 262 | 273 |
| 3 | 932 | 273 |
| 4 | 1269 | 273 |
| 5 | 1394 | 273 |
| 6 | 1565 | 273 |
| 7 | 1700 | 273 |
| 8 | 1781 | 273 |
| 9 | 2181 | 273 |
| 10 | 2716 | 273 |
| 11 | 2906 | 273 |
| 12 | 3013 | 273 |
| 13 | 3094 | 273 |
| 14 | 3127 | 273 |
| 15 | 3135 | 273 |
| 16 | 3137 | 273 |
| 17 | 3137 | 273 |
| 18 | 3137 | 273 |
| 19 | 5719 | 273 |
| 20 | 6631 | 273 |
| 21 | 6631 | 273 |
| 22 | 6631 | 273 |
| 23 | 6987 | 273 |
| 24 | 6987 | 273 |
| 25 | 6987 | 273 |
| 0 | 9499 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2) |
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) |
(sqrt (* -2 (log u1))) |
(* -2 (log u1)) |
-2 |
(log u1) |
u1 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
1/6 |
1/2 |
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) |
(sqrt (* (log u1) -2)) |
(* (log u1) -2) |
(log u1) |
u1 |
-2 |
1/6 |
1/2 |
(+ (* (* 1/6 (sqrt (neg (log u1)))) (sqrt 2)) 1/2) |
(* 1/6 (sqrt (neg (log u1)))) |
1/6 |
(sqrt (neg (log u1))) |
(neg (log u1)) |
(log u1) |
u1 |
(sqrt 2) |
2 |
1/2 |
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) 1/2) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(/ 1 6) |
1 |
6 |
(* (sqrt (neg (log u1))) (sqrt 2)) |
(sqrt (neg (log u1))) |
(neg (log u1)) |
(log u1) |
u1 |
(sqrt 2) |
2 |
(+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1) |
(* u2 u2) |
u2 |
(* (* (PI) (PI)) -2) |
(* (PI) (PI)) |
(PI) |
-2 |
1/2 |
(/ (- 1/4 (* (* (log u1) -2) 1/36)) (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))) |
(- 1/4 (* (* (log u1) -2) 1/36)) |
1/4 |
(* (* (log u1) -2) 1/36) |
(* (log u1) -2) |
(log u1) |
u1 |
-2 |
1/36 |
(+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) |
1/2 |
(* (sqrt (* (log u1) -2)) -1/6) |
(sqrt (* (log u1) -2)) |
-1/6 |
| Outputs |
|---|
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) |
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
(sqrt (* -2 (log u1))) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
-2 |
#s(literal -2 binary64) |
(log u1) |
(log.f64 u1) |
u1 |
(cos (* 2 (* (PI) u2))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) |
(* 2 (* (PI) u2)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) |
2 |
#s(literal 2 binary64) |
(* (PI) u2) |
(*.f64 (PI.f64) u2) |
(PI) |
(PI.f64) |
u2 |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) |
(sqrt (* (log u1) -2)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
(* (log u1) -2) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
-2 |
#s(literal -2 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* 1/6 (sqrt (neg (log u1)))) (sqrt 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(* 1/6 (sqrt (neg (log u1)))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (neg (log u1))) |
(sqrt.f64 (neg.f64 (log.f64 u1))) |
(neg (log u1)) |
(neg.f64 (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) 1/2) |
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64))) #s(literal 1/6 binary64)))) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 6) |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
6 |
#s(literal 6 binary64) |
(* (sqrt (neg (log u1))) (sqrt 2)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt (neg (log u1))) |
(sqrt.f64 (neg.f64 (log.f64 u1))) |
(neg (log u1)) |
(neg.f64 (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1) |
(fma.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 u2 u2))) #s(literal 1 binary64)) |
(* u2 u2) |
(*.f64 u2 u2) |
u2 |
(* (* (PI) (PI)) -2) |
(*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
-2 |
#s(literal -2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ (- 1/4 (* (* (log u1) -2) 1/36)) (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(- 1/4 (* (* (log u1) -2) 1/36)) |
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* (* (log u1) -2) 1/36) |
(*.f64 (log.f64 u1) #s(literal -1/18 binary64)) |
(* (log u1) -2) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
-2 |
#s(literal -2 binary64) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (sqrt (* (log u1) -2)) -1/6) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) |
(sqrt (* (log u1) -2)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
-1/6 |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.2% | (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (neg.f64 (log.f64 u1))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (neg.f64 (log.f64 u1))) |
| ✓ | accuracy | 99.4% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
| ✓ | accuracy | 100.0% | (*.f64 (log.f64 u1) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) u2) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 95.0ms | 256× | 0 | valid |
Compiled 287 to 48 computations (83.3% saved)
ival-mult: 30.0ms (43.8% of total)const: 10.0ms (14.6% of total)ival-add: 7.0ms (10.2% of total)ival-sqrt: 7.0ms (10.2% of total)ival-log: 6.0ms (8.8% of total)ival-div: 4.0ms (5.8% of total)ival-cos: 2.0ms (2.9% of total)ival-pi: 1.0ms (1.5% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)> |
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))> |
#<alt (sqrt (* -2 (log u1)))> |
#<alt (* -2 (log u1))> |
#<alt (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)> |
#<alt (sqrt (* (log u1) -2))> |
#<alt (* (log u1) -2)> |
#<alt (log u1)> |
#<alt (+ (* (* 1/6 (sqrt (neg (log u1)))) (sqrt 2)) 1/2)> |
#<alt (* 1/6 (sqrt (neg (log u1))))> |
#<alt (sqrt (neg (log u1)))> |
#<alt (neg (log u1))> |
#<alt (/ 1 6)> |
#<alt (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1))> |
#<alt (+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) 1/2)> |
#<alt (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2)))> |
#<alt (* (* (log u1) -2) 1/36)> |
#<alt (- 1/4 (* (* (log u1) -2) 1/36))> |
#<alt (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))> |
#<alt (/ (- 1/4 (* (* (log u1) -2) 1/36)) (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)))> |
#<alt (* (PI) u2)> |
#<alt (* (sqrt (neg (log u1))) (sqrt 2))> |
#<alt (* (sqrt (* (log u1) -2)) -1/6)> |
| Outputs |
|---|
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))> |
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))> |
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (log u1)> |
#<alt (log u1)> |
#<alt (log u1)> |
#<alt (log u1)> |
#<alt (* -1 (log (/ 1 u1)))> |
#<alt (* -1 (log (/ 1 u1)))> |
#<alt (* -1 (log (/ 1 u1)))> |
#<alt (* -1 (log (/ 1 u1)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))> |
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))> |
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (- 1/4 (* -1/18 (log u1)))> |
#<alt (- 1/4 (* -1/18 (log u1)))> |
#<alt (- 1/4 (* -1/18 (log u1)))> |
#<alt (- 1/4 (* -1/18 (log u1)))> |
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))> |
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))> |
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))> |
#<alt (- 1/4 (* 1/18 (log (/ 1 u1))))> |
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))> |
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))> |
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))> |
#<alt (/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))> |
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))> |
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))> |
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))> |
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))> |
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | u1 | @ | 0 | (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
| 1.0ms | u2 | @ | inf | (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
| 1.0ms | u2 | @ | 0 | (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
| 1.0ms | u2 | @ | 0 | (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) |
| 1.0ms | u1 | @ | -inf | (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
| 1× | batch-egg-rewrite |
| 5 144× | accelerator-lowering-fma.f32 |
| 5 144× | accelerator-lowering-fma.f64 |
| 5 008× | *-lowering-*.f32 |
| 5 008× | *-lowering-*.f64 |
| 3 980× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 175 |
| 1 | 227 | 171 |
| 2 | 1669 | 171 |
| 0 | 8665 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2) |
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) |
(sqrt (* -2 (log u1))) |
(* -2 (log u1)) |
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) |
(sqrt (* (log u1) -2)) |
(* (log u1) -2) |
(log u1) |
(+ (* (* 1/6 (sqrt (neg (log u1)))) (sqrt 2)) 1/2) |
(* 1/6 (sqrt (neg (log u1)))) |
(sqrt (neg (log u1))) |
(neg (log u1)) |
(/ 1 6) |
(* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) |
(+ (* (* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) (+ (* (* u2 u2) (* (* (PI) (PI)) -2)) 1)) 1/2) |
(* (/ 1 6) (* (sqrt (neg (log u1))) (sqrt 2))) |
(* (* (log u1) -2) 1/36) |
(- 1/4 (* (* (log u1) -2) 1/36)) |
(+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) |
(/ (- 1/4 (* (* (log u1) -2) 1/36)) (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))) |
(* (PI) u2) |
(* (sqrt (neg (log u1))) (sqrt 2)) |
(* (sqrt (* (log u1) -2)) -1/6) |
| Outputs |
|---|
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
(*.f64 (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) |
(*.f64 (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))) |
(*.f64 (PI.f64) u2) |
(*.f64 u2 (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2)) |
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))) |
(sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal -1/6 binary64))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) |
| 1× | egg-herbie |
| 24 126× | accelerator-lowering-fma.f32 |
| 24 126× | accelerator-lowering-fma.f64 |
| 5 356× | *-lowering-*.f32 |
| 5 356× | *-lowering-*.f64 |
| 4 762× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 4424 |
| 1 | 512 | 4188 |
| 2 | 1715 | 4078 |
| 3 | 2750 | 3956 |
| 4 | 4944 | 3956 |
| 5 | 7835 | 3956 |
| 0 | 8069 | 3784 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt (log u1)) (sqrt -2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2))) |
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))) |
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(log u1) |
(log u1) |
(log u1) |
(log u1) |
(* -1 (log (/ 1 u1))) |
(* -1 (log (/ 1 u1))) |
(* -1 (log (/ 1 u1))) |
(* -1 (log (/ 1 u1))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -1))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -1))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -1))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -1))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))) |
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(- 1/4 (* -1/18 (log u1))) |
(- 1/4 (* -1/18 (log u1))) |
(- 1/4 (* -1/18 (log u1))) |
(- 1/4 (* -1/18 (log u1))) |
(- 1/4 (* 1/18 (log (/ 1 u1)))) |
(- 1/4 (* 1/18 (log (/ 1 u1)))) |
(- 1/4 (* 1/18 (log (/ 1 u1)))) |
(- 1/4 (* 1/18 (log (/ 1 u1)))) |
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) |
(+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(/ (- 1/4 (* -1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))) |
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))) |
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))) |
(/ (- 1/4 (* 1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))) |
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(/ (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) |
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) |
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) |
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))) |
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* -1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* -1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* -1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* -1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
| Outputs |
|---|
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))) |
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))))) (sqrt.f64 #s(literal -2 binary64)))) |
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))) |
(fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -4/45 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* -2 (log u1)) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* 2 (log (/ 1 u1))) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* 2 (log (/ 1 u1))) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* 2 (log (/ 1 u1))) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* 2 (log (/ 1 u1))) |
(*.f64 #s(literal -2 binary64) (log.f64 u1)) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
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(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64))) |
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64))) |
Compiled 32 185 to 2 222 computations (93.1% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 218 | 8 | 1 226 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 223 | 13 | 1 236 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.6% | (fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
| ✓ | 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 98.6% | (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 98.1% | (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
| 97.7% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 98.0% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 97.9% | (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ▶ | 99.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
| 97.8% | (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 97.7% | (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
| 97.7% | (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) | |
| ▶ | 98.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
| 98.0% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
Compiled 491 to 383 computations (22% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 u1) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 u2 u2) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 (log.f64 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64)) |
| 5 950× | accelerator-lowering-fma.f32 |
| 5 950× | accelerator-lowering-fma.f64 |
| 3 832× | *-lowering-*.f32 |
| 3 832× | *-lowering-*.f64 |
| 1 436× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 553 |
| 1 | 165 | 553 |
| 2 | 435 | 545 |
| 3 | 1533 | 509 |
| 4 | 3199 | 485 |
| 5 | 7548 | 485 |
| 0 | 8125 | 460 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) |
(+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) |
(* (* (log u1) -2) 1/36) |
(* (log u1) -2) |
(log u1) |
u1 |
-2 |
1/36 |
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) |
1/2 |
(* 1/2 (cos (* 2 (* 2 (* (PI) u2))))) |
(cos (* 2 (* 2 (* (PI) u2)))) |
(* 2 (* 2 (* (PI) u2))) |
2 |
(* 2 (* (PI) u2)) |
(* (PI) u2) |
(PI) |
u2 |
-1/4 |
(+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2) |
(cos (* 2 (* (PI) u2))) |
(* 1/6 (sqrt (* (log u1) -2))) |
1/6 |
(sqrt (* (log u1) -2)) |
-1/2 |
(+ (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) 1/2) |
(* (sqrt 2) 1/6) |
(sqrt 2) |
2 |
1/6 |
(sqrt (neg (log u1))) |
(neg (log u1)) |
(log u1) |
u1 |
1/2 |
(+ (* (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) (* 1/6 (sqrt (neg (* (log u1) 2))))) 1/2) |
(+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) |
(* u2 u2) |
u2 |
(* (PI) (* -2 (PI))) |
(PI) |
(* -2 (PI)) |
-2 |
1 |
(* 1/6 (sqrt (neg (* (log u1) 2)))) |
1/6 |
(sqrt (neg (* (log u1) 2))) |
(neg (* (log u1) 2)) |
(* (log u1) 2) |
(log u1) |
u1 |
2 |
1/2 |
(+ (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) 1/2) |
(/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) |
1 |
(/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2)))))) |
(+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) |
(* u2 u2) |
u2 |
(* (PI) (* -2 (PI))) |
(PI) |
(* -2 (PI)) |
-2 |
-1 |
(* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))) |
(+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) |
(* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) |
(* u2 (* u2 (* (PI) (PI)))) |
(* u2 (* (PI) (PI))) |
(* (PI) (PI)) |
4 |
(* 1/6 (sqrt (neg (* (log u1) 2)))) |
1/6 |
(sqrt (neg (* (log u1) 2))) |
(neg (* (log u1) 2)) |
(* (log u1) 2) |
(log u1) |
u1 |
2 |
1/2 |
(/ (+ (* (log u1) 1/18) 1/4) (- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))) |
(+ (* (log u1) 1/18) 1/4) |
(log u1) |
u1 |
1/18 |
1/4 |
(- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) |
1/2 |
(* 1/6 (sqrt (* -2 (log u1)))) |
1/6 |
(sqrt (* -2 (log u1))) |
(* -2 (log u1)) |
-2 |
| Outputs |
|---|
(/ (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) |
(/.f64 (fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) |
(fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)) |
(* (* (log u1) -2) 1/36) |
(*.f64 (log.f64 u1) #s(literal -1/18 binary64)) |
(* (log u1) -2) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(log u1) |
(log.f64 u1) |
u1 |
-2 |
#s(literal -2 binary64) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (* 2 (* 2 (* (PI) u2))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))))) |
(cos (* 2 (* 2 (* (PI) u2)))) |
(cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) |
(* 2 (* 2 (* (PI) u2))) |
(*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))) |
2 |
#s(literal 2 binary64) |
(* 2 (* (PI) u2)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) |
(* (PI) u2) |
(*.f64 (PI.f64) u2) |
(PI) |
(PI.f64) |
u2 |
-1/4 |
#s(literal -1/4 binary64) |
(+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2) |
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) |
(cos (* 2 (* (PI) u2))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) |
(* 1/6 (sqrt (* (log u1) -2))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (* (log u1) -2)) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) 1/2) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(* (sqrt 2) 1/6) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (neg (log u1))) |
(sqrt.f64 (neg.f64 (log.f64 u1))) |
(neg (log u1)) |
(neg.f64 (log.f64 u1)) |
(log u1) |
(log.f64 u1) |
u1 |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) (* 1/6 (sqrt (neg (* (log u1) 2))))) 1/2) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) |
(fma.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal 1 binary64)) |
(* u2 u2) |
(*.f64 u2 u2) |
u2 |
(* (PI) (* -2 (PI))) |
(*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* -2 (PI)) |
(*.f64 #s(literal -2 binary64) (PI.f64)) |
-2 |
#s(literal -2 binary64) |
1 |
#s(literal 1 binary64) |
(* 1/6 (sqrt (neg (* (log u1) 2)))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (neg (* (log u1) 2))) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(neg (* (log u1) 2)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* (log u1) 2) |
(*.f64 (log.f64 u1) #s(literal 2 binary64)) |
(log u1) |
(log.f64 u1) |
u1 |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) 1/2) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) u2)) (*.f64 u2 (*.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal -1/6 binary64)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) |
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))) (*.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 u2 u2)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2)))))) |
(/.f64 (fma.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) u2)) (*.f64 u2 (*.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal -1/6 binary64)))) |
(+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) |
(fma.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal -1 binary64)) |
(* u2 u2) |
(*.f64 u2 u2) |
u2 |
(* (PI) (* -2 (PI))) |
(*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* -2 (PI)) |
(*.f64 #s(literal -2 binary64) (PI.f64)) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))) |
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) u2)) (*.f64 u2 (*.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 u2 u2)))))) #s(literal -1/6 binary64))) |
(+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) |
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))) (*.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 u2 u2)))) #s(literal -1 binary64)) |
(* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) |
(*.f64 (*.f64 (PI.f64) u2) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))))) |
(* u2 (* u2 (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))) |
(* u2 (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) u2)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* 1/6 (sqrt (neg (* (log u1) 2)))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (neg (* (log u1) 2))) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(neg (* (log u1) 2)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
(* (log u1) 2) |
(*.f64 (log.f64 u1) #s(literal 2 binary64)) |
(log u1) |
(log.f64 u1) |
u1 |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ (* (log u1) 1/18) 1/4) (- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(+ (* (log u1) 1/18) 1/4) |
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) |
(log u1) |
(log.f64 u1) |
u1 |
1/18 |
#s(literal 1/18 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/6 (sqrt (* -2 (log u1)))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (* -2 (log u1))) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(* -2 (log u1)) |
(*.f64 (log.f64 u1) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) |
| ✓ | accuracy | 99.5% | (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) |
| ✓ | accuracy | 99.2% | (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) |
| ✓ | accuracy | 99.5% | (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.4% | (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 u1)) |
| ✓ | accuracy | 100.0% | (log.f64 u1) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (neg.f64 (log.f64 u1))) |
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) u2) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
| ✓ | accuracy | 99.2% | (/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
| 139.0ms | 256× | 0 | valid |
Compiled 565 to 69 computations (87.8% saved)
ival-mult: 42.0ms (39.1% of total)ival-add: 24.0ms (22.3% of total)ival-sqrt: 12.0ms (11.2% of total)const: 10.0ms (9.3% of total)ival-div: 6.0ms (5.6% of total)ival-log: 4.0ms (3.7% of total)ival-cos: 3.0ms (2.8% of total)ival-pi: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)> |
#<alt (* (* (log u1) -2) 1/36)> |
#<alt (* 2 (* 2 (* (PI) u2)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))> |
#<alt (+ (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) 1/2)> |
#<alt (* (sqrt 2) 1/6)> |
#<alt (sqrt 2)> |
#<alt (sqrt (neg (log u1)))> |
#<alt (neg (* (log u1) 2))> |
#<alt (+ (* (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) (* 1/6 (sqrt (neg (* (log u1) 2))))) 1/2)> |
#<alt (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1)> |
#<alt (* u2 u2)> |
#<alt (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2)))))))> |
#<alt (+ (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) 1/2)> |
#<alt (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))> |
#<alt (- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))> |
#<alt (/ (+ (* (log u1) 1/18) 1/4) (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))))> |
#<alt (+ (* (log u1) 1/18) 1/4)> |
#<alt (log u1)> |
#<alt (/ (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2))> |
#<alt (* 1/6 (sqrt (* (log u1) -2)))> |
#<alt (* (PI) u2)> |
#<alt (neg (log u1))> |
#<alt (* 1/6 (sqrt (neg (* (log u1) 2))))> |
#<alt (sqrt (neg (* (log u1) 2)))> |
#<alt (* u2 (* (PI) (PI)))> |
#<alt (* 1/6 (sqrt (* -2 (log u1))))> |
#<alt (sqrt (* -2 (log u1)))> |
| Outputs |
|---|
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)> |
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)> |
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)> |
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)> |
#<alt (- (* -1/18 (log u1)) 1/4)> |
#<alt (- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4)> |
#<alt (- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4)> |
#<alt (- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1))))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* -1/18 (log u1))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* 1/18 (log (/ 1 u1)))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt (* 4 (* u2 (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 16/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4)))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log u1)) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* -2 (log u1))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* 2 (log (/ 1 u1)))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))> |
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#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))> |
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))> |
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))> |
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))> |
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))> |
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))> |
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))> |
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))> |
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))> |
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))> |
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))> |
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* 64/405 (/ (* (pow (PI) 6) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (+ (* -2/135 (* (/ (* (pow (PI) 6) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1))))))))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (* -1 (log u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (log (/ 1 u1))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* u2 (pow (PI) 2))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log u1)) (sqrt -2))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | u2 | @ | inf | (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) |
| 5.0ms | u2 | @ | 0 | (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) |
| 4.0ms | u1 | @ | inf | (/ (+ (* (log u1) 1/18) 1/4) (- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))) |
| 3.0ms | u1 | @ | 0 | (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) |
| 2.0ms | u2 | @ | 0 | (/ (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) |
| 1× | batch-egg-rewrite |
| 5 212× | *-lowering-*.f32 |
| 5 212× | *-lowering-*.f64 |
| 4 990× | accelerator-lowering-fma.f32 |
| 4 990× | accelerator-lowering-fma.f64 |
| 4 294× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 294 |
| 1 | 355 | 270 |
| 2 | 2683 | 232 |
| 0 | 9401 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) |
(* (* (log u1) -2) 1/36) |
(* 2 (* 2 (* (PI) u2))) |
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))) |
(+ (* (* (sqrt 2) 1/6) (sqrt (neg (log u1)))) 1/2) |
(* (sqrt 2) 1/6) |
(sqrt 2) |
(sqrt (neg (log u1))) |
(neg (* (log u1) 2)) |
(+ (* (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) (* 1/6 (sqrt (neg (* (log u1) 2))))) 1/2) |
(+ (* (* u2 u2) (* (PI) (* -2 (PI)))) 1) |
(* u2 u2) |
(/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) |
(+ (/ 1 (/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2))))))) 1/2) |
(/ (+ (* (* u2 u2) (* (PI) (* -2 (PI)))) -1) (* (+ (* (* (* u2 (* u2 (* (PI) (PI)))) (* u2 (* u2 (* (PI) (PI))))) 4) -1) (* 1/6 (sqrt (neg (* (log u1) 2)))))) |
(- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) |
(/ (+ (* (log u1) 1/18) 1/4) (- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))) |
(+ (* (log u1) 1/18) 1/4) |
(log u1) |
(/ (+ (* (* (* (log u1) -2) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* (log u1) -2)))) -1/2)) |
(* 1/6 (sqrt (* (log u1) -2))) |
(* (PI) u2) |
(neg (log u1)) |
(* 1/6 (sqrt (neg (* (log u1) 2)))) |
(sqrt (neg (* (log u1) 2))) |
(* u2 (* (PI) (PI))) |
(* 1/6 (sqrt (* -2 (log u1)))) |
(sqrt (* -2 (log u1))) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/4 binary64)) |
(+.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) |
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64))) |
(+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/36 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)))) |
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(*.f64 (PI.f64) (*.f64 (PI.f64) u2)) |
(*.f64 u2 (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) u2) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) u2) |
(*.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (PI.f64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) |
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 10 542× | accelerator-lowering-fma.f32 |
| 10 542× | accelerator-lowering-fma.f64 |
| 7 888× | *-lowering-*.f32 |
| 7 888× | *-lowering-*.f64 |
| 3 596× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 7381 |
| 1 | 1041 | 7028 |
| 2 | 3645 | 6924 |
| 0 | 8087 | 6506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(- (* -1/18 (log u1)) 1/4) |
(- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4) |
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4) |
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1))))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* -1/18 (log u1)) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* 1/18 (log (/ 1 u1))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
(* 4 (* u2 (PI))) |
1 |
(+ 1 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 16/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4))))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log u1)) (sqrt -1)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* -2 (log u1)) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* 2 (log (/ 1 u1))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (+ (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2)))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ 1/2 (* 1/6 (* (* (sqrt -2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt -2) (pow u2 2)) (sqrt (log u1)))))) |
(* 1/6 (* (sqrt (log u1)) (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log u1)) (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log u1)) (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log u1)) (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1))) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1))) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1))) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1))) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)))) |
(* 1/6 (* (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (/ (* (sqrt -2) (- (* 4 (* (pow u2 4) (pow (PI) 4))) 1)) (- (* -2 (* (pow u2 2) (pow (PI) 2))) 1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) |
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) |
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(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(* -1 (log u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(log (/ 1 u1)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* u2 (pow (PI) 2)) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log u1)) (sqrt -2))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log u1)) (sqrt -2)) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
| Outputs |
|---|
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64)) |
(- (* -1/18 (log u1)) 1/4) |
(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64)) |
(- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4) |
(fma.f64 (log.f64 u1) (fma.f64 (*.f64 #s(literal 2/9 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) |
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4) |
(fma.f64 (*.f64 u2 u2) (*.f64 (log.f64 u1) (fma.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) (*.f64 #s(literal -8/27 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))) |
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1))))))))) 1/4) |
(fma.f64 (*.f64 (log.f64 u1) (fma.f64 #s(literal -8/27 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 u2 u2) #s(literal 64/405 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (fma.f64 (log.f64 u1) (fma.f64 (*.f64 #s(literal 2/9 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) |
(* -1/18 (log u1)) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* -1/18 (log u1)) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* -1/18 (log u1)) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* -1/18 (log u1)) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* 1/18 (log (/ 1 u1))) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* 1/18 (log (/ 1 u1))) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* 1/18 (log (/ 1 u1))) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* 1/18 (log (/ 1 u1))) |
(*.f64 #s(literal -1/18 binary64) (log.f64 u1)) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) |
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
(* 4 (* u2 (PI))) |
(*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 16/3 (* (pow u2 2) (pow (PI) 4)))))) |
(fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 16/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4))))))) |
(fma.f64 u2 (*.f64 u2 (fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -128/45 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 16/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))) |
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
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(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log u1)) (sqrt -2)) |
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64))) |
Compiled 57 782 to 3 463 computations (94% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 512 | 8 | 1 520 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 520 | 13 | 1 533 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) | |
| 98.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) | |
| 98.6% | (fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| 97.3% | (fma.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) | |
| ✓ | 99.5% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | 98.1% | (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
| ✓ | 98.0% | (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 97.9% | (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 99.3% | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/2 binary64))) | |
| 97.8% | (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) | |
| 98.6% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) | |
| 98.5% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) | |
| 98.0% | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
Compiled 1 176 to 411 computations (65.1% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
10 calls:
| 15.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 13.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 13.0ms | (log.f64 u1) |
| 12.0ms | u1 |
| 12.0ms | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | u1 |
| 99.6% | 1 | u2 |
| 99.6% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 99.6% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 99.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 99.6% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 99.6% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 99.6% | 1 | (log.f64 u1) |
| 99.6% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 99.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
10 calls:
| 16.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 16.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
| 9.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 9.0ms | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 7.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | u1 |
| 99.5% | 1 | u2 |
| 99.5% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 99.5% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 99.5% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 99.5% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 99.5% | 1 | (log.f64 u1) |
| 99.5% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
10 calls:
| 106.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 42.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
| 6.0ms | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 5.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | u1 |
| 99.5% | 1 | u2 |
| 99.5% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 99.5% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 99.5% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 99.5% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 99.5% | 1 | (log.f64 u1) |
| 99.5% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
10 calls:
| 35.0ms | u2 |
| 14.0ms | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 5.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 5.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | u1 |
| 98.7% | 1 | u2 |
| 98.7% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 98.7% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 98.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 98.7% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 98.7% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 98.7% | 1 | (log.f64 u1) |
| 98.7% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 98.7% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
10 calls:
| 6.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 5.0ms | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 4.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 4.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | u1 |
| 98.6% | 1 | u2 |
| 98.6% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 98.6% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 98.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 98.6% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 98.6% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 98.6% | 1 | (log.f64 u1) |
| 98.6% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 98.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
10 calls:
| 6.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 3.0ms | (log.f64 u1) |
| 3.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 2.0ms | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 98.1% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 98.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 98.1% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 98.1% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 98.1% | 1 | u1 |
| 98.1% | 1 | u2 |
| 98.1% | 1 | (log.f64 u1) |
| 98.1% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 98.1% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
Total -62.7b remaining (-4675.6%)
Threshold costs -62.7b (-4675.6%)
| Inputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
10 calls:
| 2.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 2.0ms | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 2.0ms | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 2.0ms | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | u1 |
| 97.9% | 1 | u2 |
| 97.9% | 1 | (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
| 97.9% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) |
| 97.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) |
| 97.9% | 1 | (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) |
| 97.9% | 1 | (*.f64 #s(literal -2 binary64) (log.f64 u1)) |
| 97.9% | 1 | (log.f64 u1) |
| 97.9% | 1 | (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) |
| 97.9% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2) |
Compiled 91 to 78 computations (14.3% saved)
| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 111 |
| 1 | 71 | 111 |
| 2 | 73 | 111 |
| 3 | 74 | 111 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 u2 u2) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 43 450× | accelerator-lowering-fma.f32 |
| 43 450× | accelerator-lowering-fma.f64 |
| 11 730× | accelerator-lowering-fma.f32 |
| 11 730× | accelerator-lowering-fma.f64 |
| 7 804× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 5404 |
| 1 | 658 | 5248 |
| 2 | 2169 | 5104 |
| 3 | 2953 | 5032 |
| 4 | 5122 | 5020 |
| 5 | 6361 | 5020 |
| 0 | 8104 | 4858 |
| 0 | 83 | 1292 |
| 1 | 205 | 1260 |
| 2 | 623 | 1232 |
| 3 | 2201 | 1204 |
| 4 | 2811 | 1198 |
| 5 | 3922 | 1198 |
| 6 | 5352 | 1198 |
| 7 | 5480 | 1198 |
| 8 | 5542 | 1198 |
| 9 | 5559 | 1198 |
| 10 | 5565 | 1198 |
| 11 | 5565 | 1198 |
| 12 | 7993 | 1198 |
| 13 | 7993 | 1198 |
| 14 | 7993 | 1198 |
| 0 | 8013 | 1162 |
| 0 | 19 | 48 |
| 1 | 70 | 48 |
| 2 | 361 | 48 |
| 0 | 2832 | 47 |
| 0 | 46 | 211 |
| 1 | 200 | 209 |
| 2 | 1282 | 191 |
| 3 | 6954 | 191 |
| 0 | 8884 | 186 |
| 0 | 67 | 294 |
| 1 | 355 | 270 |
| 2 | 2683 | 232 |
| 0 | 9401 | 218 |
| 0 | 46 | 175 |
| 1 | 227 | 171 |
| 2 | 1669 | 171 |
| 0 | 8665 | 162 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 303 to 207 computations (31.7% saved)
(abs u2)
Compiled 532 to 350 computations (34.2% saved)
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