
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 6.3% | 0% | 0% | 0% | 6 |
| 75.9% | 68.7% | 21.9% | 9.5% | 0% | 0% | 0% | 7 |
| 80% | 68.7% | 17.2% | 14.1% | 0% | 0% | 0% | 8 |
| 86% | 71.8% | 11.7% | 16.5% | 0% | 0% | 0% | 9 |
| 88.9% | 71.8% | 9% | 19.2% | 0% | 0% | 0% | 10 |
| 92.4% | 73.4% | 6% | 20.6% | 0% | 0% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 22% | 0% | 0% | 0% | 12 |
Compiled 13 to 8 computations (38.5% saved)
ival-sub: 4.0ms (33.4% of total)ival-exp: 3.0ms (25.1% of total)ival-mult: 3.0ms (25.1% of total)ival->: 2.0ms (16.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.1s | 5325× | 1 | valid |
| 172.0ms | 2931× | 0 | valid |
| 15.0ms | 306× | 0 | precondition |
ival-exp: 581.0ms (61.7% of total)ival-mult: 129.0ms (13.7% of total)ival-sub: 90.0ms (9.6% of total)ival->: 68.0ms (7.2% of total)backward-pass: 58.0ms (6.2% of total)const: 16.0ms (1.7% of total)| 2× | egg-herbie |
| 132× | sum3-define |
| 96× | fma-define |
| 78× | fmsub-define |
| 44× | sub-neg |
| 40× | exp-sum |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 30 |
| 1 | 49 | 30 |
| 2 | 79 | 30 |
| 3 | 118 | 30 |
| 4 | 174 | 30 |
| 5 | 220 | 30 |
| 6 | 280 | 30 |
| 7 | 387 | 30 |
| 8 | 417 | 30 |
| 9 | 442 | 30 |
| 10 | 461 | 30 |
| 11 | 462 | 30 |
| 0 | 6 | 4 |
| 1 | 15 | 4 |
| 2 | 18 | 4 |
| 0 | 18 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (exp (* a x)) 1) |
| Outputs |
|---|
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
| Inputs |
|---|
(- (exp (* a x)) 1) |
(- (exp (* (neg a) x)) 1) |
(- (exp (* a (neg x))) 1) |
(neg (- (exp (* (neg a) x)) 1)) |
(neg (- (exp (* a (neg x))) 1)) |
(- (exp (* x a)) 1) |
| Outputs |
|---|
(- (exp (* a x)) 1) |
(expm1 (* a x)) |
(- (exp (* (neg a) x)) 1) |
(expm1 (fnmsub a x 0)) |
(- (exp (* a (neg x))) 1) |
(expm1 (fnmsub a x 0)) |
(neg (- (exp (* (neg a) x)) 1)) |
(neg (expm1 (fnmsub a x 0))) |
(neg (- (exp (* a (neg x))) 1)) |
(neg (expm1 (fnmsub a x 0))) |
(- (exp (* x a)) 1) |
(expm1 (* a x)) |
(sort a x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 138 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 a x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | a |
| 59.0ms | 346× | 1 | valid |
| 13.0ms | 166× | 0 | valid |
Compiled 46 to 20 computations (56.5% saved)
ival-exp: 18.0ms (50.1% of total)ival-mult: 8.0ms (22.3% of total)ival-sub: 5.0ms (13.9% of total)backward-pass: 5.0ms (13.9% of total)const: 1.0ms (2.8% of total)Compiled 6 to 4 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (expm1.f64 (*.f64 a x)) |
| 6× | exp-lowering-exp.f32 |
| 6× | exp-lowering-exp.f64 |
| 4× | pow-lowering-pow.f64 |
| 4× | pow-lowering-pow.f32 |
| 4× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 15 | 9 |
| 2 | 18 | 9 |
| 0 | 18 | 9 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (exp (* a x)) 1) |
(* a x) |
a |
x |
| Outputs |
|---|
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
a |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 a x)) |
| 35.0ms | 173× | 5 | exit |
| 5.0ms | 83× | 0 | valid |
Compiled 12 to 5 computations (58.3% saved)
backward-pass: 6.0ms (36.1% of total)compiled-spec: 4.0ms (24.1% of total)ival-mult: 3.0ms (18.1% of total)ival-exp: 2.0ms (12% of total)ival-sub: 1.0ms (6% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (* a x) |
| 0.0ms | a | @ | 0 | (- (exp (* a x)) 1) |
| 0.0ms | x | @ | 0 | (- (exp (* a x)) 1) |
| 0.0ms | x | @ | inf | (* a x) |
| 0.0ms | x | @ | 0 | (* a x) |
| 1× | batch-egg-rewrite |
| 2778× | /-lowering-/.f32 |
| 2778× | /-lowering-/.f64 |
| 2514× | *-lowering-*.f32 |
| 2514× | *-lowering-*.f64 |
| 1974× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 28 | 7 |
| 2 | 155 | 7 |
| 3 | 1417 | 7 |
| 0 | 8359 | 7 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (exp (* a x)) 1) |
(* a x) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 (expm1.f64 (*.f64 a x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 9 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a x))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) (expm1.f64 (*.f64 a x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (expm1.f64 (*.f64 a x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 9 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))))) |
(log.f64 (exp.f64 (*.f64 a x))) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (log.f64 (*.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) (*.f64 a x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))))))) |
(*.f64 a x) |
(*.f64 x a) |
(*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) a) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a) |
| 1× | egg-herbie |
| 4442× | fma-define |
| 3688× | fma-lowering-fma.f32 |
| 3688× | fma-lowering-fma.f64 |
| 2334× | *-lowering-*.f32 |
| 2334× | *-lowering-*.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 250 |
| 1 | 192 | 238 |
| 2 | 604 | 236 |
| 3 | 1416 | 232 |
| 4 | 2879 | 232 |
| 5 | 3199 | 232 |
| 6 | 3406 | 230 |
| 7 | 3492 | 230 |
| 8 | 3506 | 230 |
| 9 | 3508 | 230 |
| 10 | 4704 | 230 |
| 11 | 4704 | 230 |
| 12 | 4704 | 230 |
| 13 | 5383 | 230 |
| 14 | 5849 | 230 |
| 15 | 6875 | 230 |
| 0 | 8083 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a #s(literal 1/24 binary64)))))))))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 a #s(literal 1/24 binary64)))))))))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
Compiled 10927 to 740 computations (93.2% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 4 | 286 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 282 | 5 | 287 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ▶ | 69.6% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| ▶ | 68.4% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ▶ | 69.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 60 to 36 computations (40% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 7040 | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| 3190× | *-lowering-*.f32 |
| 3190× | *-lowering-*.f64 |
| 2650× | fma-lowering-fma.f32 |
| 2650× | fma-lowering-fma.f64 |
| 2606× | +-lowering-+.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 143 |
| 1 | 67 | 132 |
| 2 | 234 | 130 |
| 3 | 750 | 130 |
| 4 | 1873 | 130 |
| 5 | 2704 | 122 |
| 6 | 3602 | 120 |
| 7 | 7931 | 120 |
| 0 | 8410 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
a |
x |
(* (* a x) (+ 1 (* (* a x) 1/2))) |
(* a x) |
a |
x |
(+ 1 (* (* a x) 1/2)) |
1 |
(* (* a x) 1/2) |
1/2 |
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))) |
(* a x) |
a |
x |
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))) |
1 |
(* (* a x) (+ 1/2 (* (* a x) 1/6))) |
(+ 1/2 (* (* a x) 1/6)) |
1/2 |
(* (* a x) 1/6) |
1/6 |
(* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (exp (* a (/ x 2))) 1) |
(exp (* a (/ x 2))) |
(* a (/ x 2)) |
a |
(/ x 2) |
x |
2 |
1 |
(- (exp (* a (/ x 2))) 1) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
a |
x |
(* (* a x) (+ 1 (* (* a x) 1/2))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 a #s(literal 2 binary64)))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(+ 1 (* (* a x) 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 a #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* a x) 1/2) |
(*.f64 x (/.f64 a #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* a x) (+ 1/2 (* (* a x) 1/6))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(+ 1/2 (* (* a x) 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* a x) 1/6) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1)) |
(expm1.f64 (*.f64 a x)) |
(+ (exp (* a (/ x 2))) 1) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))))) |
(exp (* a (/ x 2))) |
(exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) |
(* a (/ x 2)) |
(*.f64 x (/.f64 a #s(literal 2 binary64))) |
a |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(- (exp (* a (/ x 2))) 1) |
(expm1.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| 94.0ms | 173× | 1 | valid |
| 20.0ms | 83× | 0 | valid |
Compiled 146 to 22 computations (84.9% saved)
ival-mult: 23.0ms (28.6% of total)compiled-spec: 14.0ms (17.4% of total)ival-exp: 12.0ms (14.9% of total)ival-add: 10.0ms (12.4% of total)backward-pass: 8.0ms (9.9% of total)...c/correct-round.rkt:119:19: 7.0ms (8.7% of total)ival-div: 3.0ms (3.7% of total)ival-sub: 2.0ms (2.5% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (* a x)> |
#<alt (* (* a x) (+ 1 (* (* a x) 1/2)))> |
#<alt (+ 1 (* (* a x) 1/2))> |
#<alt (* (* a x) 1/2)> |
#<alt (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))))> |
#<alt (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))> |
#<alt (* (* a x) (+ 1/2 (* (* a x) 1/6)))> |
#<alt (* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1))> |
#<alt (+ (exp (* a (/ x 2))) 1)> |
#<alt (exp (* a (/ x 2)))> |
#<alt (* a (/ x 2))> |
#<alt (* (* a x) 1/6)> |
#<alt (+ 1/2 (* (* a x) 1/6))> |
#<alt (- (exp (* a (/ x 2))) 1)> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* a (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* a (+ (* 1/2 x) (/ 1 a)))> |
#<alt (* 1/2 (* a x))> |
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* x (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* 1/2 (* a x))> |
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a x)))> |
#<alt (+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a x)))> |
#<alt (+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (+ 1/2 (* 1/6 (* a x)))> |
#<alt (* 1/6 (* a x))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (* a x))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (* a x) (+ 1 (* (* a x) 1/2))) |
| 2.0ms | a | @ | -inf | (* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1)) |
| 2.0ms | a | @ | 0 | (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))) |
| 1.0ms | a | @ | inf | (* (* a x) (+ 1 (* (* a x) 1/2))) |
| 1.0ms | x | @ | 0 | (* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1)) |
| 1× | batch-egg-rewrite |
| 3250× | *-lowering-*.f32 |
| 3250× | *-lowering-*.f64 |
| 2726× | /-lowering-/.f32 |
| 2726× | /-lowering-/.f64 |
| 2402× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 119 |
| 1 | 126 | 102 |
| 2 | 1125 | 98 |
| 0 | 8513 | 98 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* (* a x) (+ 1 (* (* a x) 1/2))) |
(+ 1 (* (* a x) 1/2)) |
(* (* a x) 1/2) |
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6))))) |
(+ 1 (* (* a x) (+ 1/2 (* (* a x) 1/6)))) |
(* (* a x) (+ 1/2 (* (* a x) 1/6))) |
(* (+ (exp (* a (/ x 2))) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (exp (* a (/ x 2))) 1) |
(exp (* a (/ x 2))) |
(* a (/ x 2)) |
(* (* a x) 1/6) |
(+ 1/2 (* (* a x) 1/6)) |
(- (exp (* a (/ x 2))) 1) |
| Outputs |
|---|
(*.f64 a x) |
(*.f64 x a) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) |
(+.f64 (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) (*.f64 a x)) |
(-.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))) |
(fma.f64 a x (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) |
(fma.f64 a (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 a x))) (*.f64 a x)) |
(fma.f64 a (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 a x)) (*.f64 a x)) |
(fma.f64 x a (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) |
(fma.f64 x (/.f64 a (/.f64 #s(literal 2 binary64) (*.f64 a x))) (*.f64 a x)) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) |
(fma.f64 (*.f64 a x) (/.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x)) |
(fma.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x) (*.f64 a x)) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 a x)) (*.f64 a x)) |
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/2 binary64) (*.f64 a x)) |
(fma.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) x) a (*.f64 a x)) |
(fma.f64 (*.f64 (*.f64 a x) a) (/.f64 x #s(literal 2 binary64)) (*.f64 a x)) |
(fma.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x (*.f64 a x)) |
(fma.f64 (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) x)) a (*.f64 a x)) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))) (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))) (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64))) (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (*.f64 a x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))))) (+.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))))) |
(/.f64 (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))) |
(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64))) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))) (neg.f64 (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64))) (*.f64 a x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (*.f64 a x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x)))) (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) (*.f64 a x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) (*.f64 a x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 a x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) a) |
(*.f64 (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 a x) (*.f64 a x))) (*.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) a) x) |
(*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a x))) #s(literal 8 binary64))) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
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(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) a) x) |
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(expm1.f64 (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) (*.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
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(/.f64 (+.f64 (exp.f64 (+.f64 (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
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(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 3800× | +-lowering-+.f64 |
| 3800× | +-lowering-+.f32 |
| 3796× | *-lowering-*.f32 |
| 3796× | *-lowering-*.f64 |
| 1428× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 2946 |
| 1 | 918 | 2708 |
| 2 | 3311 | 2573 |
| 3 | 7040 | 2549 |
| 0 | 8531 | 2549 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* a x)) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* 1/2 (* a x)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4)))))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
2 |
(+ 2 (* 1/2 (* a x))) |
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
2 |
(+ 2 (* 1/2 (* a x))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(* 1/2 (* a x)) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
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(* a (+ x (* 1/2 (* a (pow x 2))))) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) x)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
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(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) x)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* a (+ (* 1/2 x) (/ 1 a))) |
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(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
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(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(+.f64 (*.f64 a (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(+.f64 (*.f64 a (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
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(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
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(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
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(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
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(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
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(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
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(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
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(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64))))))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4)))))))))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))) (*.f64 x (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a x))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a #s(literal 1/48 binary64)) x))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a x))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 a (*.f64 a #s(literal 1/8 binary64)))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a #s(literal 1/48 binary64)) x))))))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 a (*.f64 a #s(literal 1/8 binary64)))))))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* 1/6 (* a x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 a #s(literal -1/6 binary64)))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 a #s(literal -1/6 binary64)))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 a #s(literal -1/6 binary64)))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x)))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a #s(literal 1/48 binary64)) x)))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a #s(literal 1/48 binary64)) x))) (*.f64 (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 a #s(literal 1/384 binary64))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x)))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 a (*.f64 a #s(literal 1/8 binary64))))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/8 binary64))) (*.f64 x (+.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/384 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
Compiled 28215 to 2225 computations (92.1% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1153 | 9 | 1162 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1153 | 14 | 1167 |
| Status | Accuracy | Program |
|---|---|---|
| 69.6% | (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) | |
| 37.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))))) | |
| ▶ | 69.6% | (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
| ▶ | 99.9% | (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.9% | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ▶ | 43.1% | (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
| ▶ | 69.3% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
| ✓ | 69.6% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| 69.1% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) | |
| ✓ | 68.4% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ▶ | 18.4% | (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
| 19.6% | (*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) | |
| ✓ | 69.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 482 to 246 computations (49% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 6400 | (exp.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 6464 | (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 6464 | (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 6464 | (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| 3784× | *-lowering-*.f32 |
| 3784× | *-lowering-*.f64 |
| 1718× | +-lowering-+.f64 |
| 1718× | +-lowering-+.f32 |
| 1512× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 291 |
| 1 | 130 | 284 |
| 2 | 450 | 274 |
| 3 | 1635 | 267 |
| 4 | 3594 | 267 |
| 5 | 6906 | 267 |
| 0 | 8073 | 267 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (pow (exp 1) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (pow (exp 1) (/ (* a x) 2)) 1) |
(pow (exp 1) (/ (* a x) 2)) |
(exp 1) |
1 |
(/ (* a x) 2) |
(* a x) |
a |
x |
2 |
(- (exp (* a (/ x 2))) 1) |
(* a (/ x 2)) |
(/ x 2) |
(* (* a x) (* (* a x) 1/2)) |
(* a x) |
a |
x |
(* (* a x) 1/2) |
1/2 |
(* (* x x) (+ (* 1/2 (* a a)) (/ a x))) |
(* x x) |
x |
(+ (* 1/2 (* a a)) (/ a x)) |
(* 1/2 (* a a)) |
1/2 |
(* a a) |
a |
(/ a x) |
(+ (* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) (* a x)) |
(* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(* a x) |
a |
x |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(+ 1/2 (* x (* a 1/6))) |
1/2 |
(* x (* a 1/6)) |
(* a 1/6) |
1/6 |
(* (* a x) (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))))) |
(* a x) |
a |
x |
(+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6))))) |
1 |
(/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))) |
(* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) |
(- 1/4 (* (* (* a x) (* a x)) 1/36)) |
1/4 |
(* (* (* a x) (* a x)) 1/36) |
(* (* a x) (* a x)) |
1/36 |
(- 1/2 (* x (* a 1/6))) |
1/2 |
(* x (* a 1/6)) |
(* a 1/6) |
1/6 |
| Outputs |
|---|
(* (+ (pow (exp 1) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(+ (pow (exp 1) (/ (* a x) 2)) 1) |
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(pow (exp 1) (/ (* a x) 2)) |
(exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(exp 1) |
(E.f64) |
1 |
#s(literal 1 binary64) |
(/ (* a x) 2) |
(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
a |
x |
2 |
#s(literal 2 binary64) |
(- (exp (* a (/ x 2))) 1) |
(expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(* a (/ x 2)) |
(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
(* (* a x) (* (* a x) 1/2)) |
(*.f64 x (*.f64 a (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(* a x) |
(*.f64 a x) |
a |
x |
(* (* a x) 1/2) |
(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ (* 1/2 (* a a)) (/ a x))) |
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* 1/2 (* a a)) (/ a x)) |
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 a #s(literal 2 binary64)))) |
(* 1/2 (* a a)) |
(/.f64 (*.f64 a a) #s(literal 2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* a a) |
(*.f64 a a) |
a |
(/ a x) |
(/.f64 a x) |
(+ (* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) (* a x)) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 (*.f64 a x) (*.f64 a x))) |
(* a x) |
(*.f64 a x) |
a |
x |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(+ 1/2 (* x (* a 1/6))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* a 1/6)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* a 1/6) |
(*.f64 a #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* a x) (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))))) |
(*.f64 x (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal -1/36 binary64)))))) (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal -1/6 binary64))))))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal -1/36 binary64)))))) (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal -1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal -1/36 binary64)))))) (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal -1/6 binary64)))))) |
(* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal -1/36 binary64)))))))) |
(- 1/4 (* (* (* a x) (* a x)) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 a (*.f64 x #s(literal -1/36 binary64)))))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* (* a x) (* a x)) 1/36) |
(*.f64 a (*.f64 x (*.f64 (*.f64 a x) #s(literal 1/36 binary64)))) |
(* (* a x) (* a x)) |
(*.f64 (*.f64 a x) (*.f64 a x)) |
1/36 |
#s(literal 1/36 binary64) |
(- 1/2 (* x (* a 1/6))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal -1/6 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* a 1/6)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* a 1/6) |
(*.f64 a #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 a x) (*.f64 a x)) |
| ✓ | accuracy | 99.4% | (*.f64 a #s(literal 1/6 binary64)) |
| ✓ | accuracy | 91.3% | (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 99.4% | (*.f64 a #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
| ✓ | accuracy | 93.7% | (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x)) |
| ✓ | accuracy | 66.6% | (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
| ✓ | accuracy | 100.0% | (*.f64 a x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
| 201.0ms | 173× | 1 | valid |
| 37.0ms | 83× | 0 | valid |
Compiled 336 to 40 computations (88.1% saved)
ival-mult: 49.0ms (27.9% of total)ival-add: 30.0ms (17.1% of total)backward-pass: 19.0ms (10.8% of total)ival-exp: 17.0ms (9.7% of total)compiled-spec: 17.0ms (9.7% of total)ival-div: 14.0ms (8% of total)...c/correct-round.rkt:119:19: 13.0ms (7.4% of total)ival-pow: 8.0ms (4.6% of total)ival-sub: 7.0ms (4% of total)const: 2.0ms (1.1% of total)| Inputs |
|---|
#<alt (* (+ (pow (exp 1) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1))> |
#<alt (+ (pow (exp 1) (/ (* a x) 2)) 1)> |
#<alt (pow (exp 1) (/ (* a x) 2))> |
#<alt (exp 1)> |
#<alt (* (* a x) (* (* a x) 1/2))> |
#<alt (* a x)> |
#<alt (* (* a x) 1/2)> |
#<alt (* (* x x) (+ (* 1/2 (* a a)) (/ a x)))> |
#<alt (* x x)> |
#<alt (+ (* 1/2 (* a a)) (/ a x))> |
#<alt (* 1/2 (* a a))> |
#<alt (+ (* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) (* a x))> |
#<alt (* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6)))))> |
#<alt (* (* a x) (+ 1/2 (* x (* a 1/6))))> |
#<alt (* (* a x) (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6))))))> |
#<alt (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))))> |
#<alt (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6))))> |
#<alt (- (exp (* a (/ x 2))) 1)> |
#<alt (* a a)> |
#<alt (* a 1/6)> |
#<alt (* x (* a 1/6))> |
#<alt (* (* a x) (* a x))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a x)))> |
#<alt (+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a x)))> |
#<alt (+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt (+ 1 (exp (* 1/2 (* a x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (exp (* 1/2 (* a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ a x)> |
#<alt (* a (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* a (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* a (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (* a x))))> |
#<alt (/ a x)> |
#<alt (/ (+ a (* 1/2 (* (pow a 2) x))) x)> |
#<alt (/ (+ a (* 1/2 (* (pow a 2) x))) x)> |
#<alt (/ (+ a (* 1/2 (* (pow a 2) x))) x)> |
#<alt (* 1/2 (pow a 2))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (+ (* 1/2 (pow a 2)) (/ a x))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a))))> |
#<alt (* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a x)))> |
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | (* (* x x) (+ (* 1/2 (* a a)) (/ a x))) |
| 5.0ms | x | @ | inf | (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))) |
| 1.0ms | a | @ | 0 | (* (* a x) (* (* a x) 1/2)) |
| 1.0ms | a | @ | 0 | (* (* a x) (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))))) |
| 1.0ms | x | @ | 0 | (* (* a x) (* (* a x) 1/2)) |
| 1× | batch-egg-rewrite |
| 4996× | *-lowering-*.f32 |
| 4996× | *-lowering-*.f64 |
| 2250× | /-lowering-/.f32 |
| 2250× | /-lowering-/.f64 |
| 1998× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 178 |
| 1 | 252 | 149 |
| 2 | 2358 | 145 |
| 0 | 8858 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (pow (exp 1) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (pow (exp 1) (/ (* a x) 2)) 1) |
(pow (exp 1) (/ (* a x) 2)) |
(exp 1) |
(* (* a x) (* (* a x) 1/2)) |
(* a x) |
(* (* a x) 1/2) |
(* (* x x) (+ (* 1/2 (* a a)) (/ a x))) |
(* x x) |
(+ (* 1/2 (* a a)) (/ a x)) |
(* 1/2 (* a a)) |
(+ (* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) (* a x)) |
(* (* a x) (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(* (* a x) (+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))))) |
(+ 1 (/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6))))) |
(/ (* (- 1/4 (* (* (* a x) (* a x)) 1/36)) (* a x)) (- 1/2 (* x (* a 1/6)))) |
(- (exp (* a (/ x 2))) 1) |
(* a a) |
(* a 1/6) |
(* x (* a 1/6)) |
(* (* a x) (* a x)) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(fma.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(fma.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))) |
(/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) |
(/.f64 (*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(*.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(+.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) a)) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 x #s(literal 2 binary64)))) a)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (E.f64))) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 a x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(sqrt.f64 (exp.f64 (*.f64 a x))) |
(sqrt.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) a) (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal -2 binary64)))) |
(pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(pow.f64 (E.f64) (*.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 a) (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (E.f64) a) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 x #s(literal 2 binary64))) a) |
(pow.f64 (exp.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 a #s(literal 1 binary64))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) |
(pow.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (E.f64) x) (*.f64 a #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) x) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) (*.f64 a x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 a #s(literal 1/2 binary64))) x) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) a)) x) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)) a) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) a) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 a x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 x #s(literal 2 binary64))) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) a) x) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) a) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(E.f64) |
(log.f64 (exp.f64 (E.f64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (E.f64)))) |
(exp.f64 #s(literal 1 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (E.f64))) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (E.f64) (E.f64))) |
(cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (E.f64))) |
(expm1.f64 (log1p.f64 (E.f64))) |
(log1p.f64 (expm1.f64 (E.f64))) |
(pow.f64 (E.f64) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (E.f64)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (E.f64)) |
(*.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (cbrt.f64 (E.f64))) |
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) |
(/.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal -2 binary64)) |
(*.f64 a (*.f64 x (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/2 binary64))))) |
(*.f64 x (*.f64 a (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 a x) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 a x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a (*.f64 a x)) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 a (*.f64 x x))) |
(*.f64 (*.f64 x (/.f64 (*.f64 a x) #s(literal 2 binary64))) a) |
(*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x) x) |
(*.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) a) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 a #s(literal 1/2 binary64))) a) |
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
(/.f64 (*.f64 x (*.f64 a x)) x) |
(/.f64 (*.f64 a (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 x a)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 a x) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 a (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x a) |
(*.f64 x (*.f64 a #s(literal 1 binary64))) |
(*.f64 x (*.f64 x (/.f64 a x))) |
(*.f64 x (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (*.f64 (/.f64 a x) x) x) |
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(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) x) |
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(*.f64 x x) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
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(-.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) a) x)) |
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(fma.f64 #s(literal 1 binary64) (/.f64 a x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (/.f64 a x)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
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(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/1296 binary64))) (*.f64 a x)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64))))) (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))) (-.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/1296 binary64))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/216 binary64))) (*.f64 a x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 x (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 a x)) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (/.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) a) |
(*.f64 (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) a) x) |
(*.f64 (/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(+.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))) (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(pow.f64 a #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(*.f64 a a) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 a (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(*.f64 (*.f64 a x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) a) |
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 a x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 a x)))) |
(*.f64 a (*.f64 x (*.f64 a x))) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 x (*.f64 a (*.f64 a x))) |
(*.f64 (*.f64 a x) (*.f64 a x)) |
(*.f64 (*.f64 x x) (*.f64 a a)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a a) (*.f64 x x)) |
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (*.f64 a (*.f64 a x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (*.f64 a x)) x) |
(*.f64 (*.f64 x (*.f64 a x)) a) |
(*.f64 (*.f64 (*.f64 a a) x) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 a a)) |
(*.f64 (exp.f64 (log.f64 (*.f64 a x))) (exp.f64 (log.f64 (*.f64 a x)))) |
| 1× | egg-herbie |
| 3698× | +-lowering-+.f64 |
| 3698× | +-lowering-+.f32 |
| 3636× | *-lowering-*.f32 |
| 3636× | *-lowering-*.f64 |
| 1534× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 4254 |
| 1 | 861 | 3794 |
| 2 | 3168 | 3617 |
| 3 | 6746 | 3617 |
| 0 | 8377 | 3617 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4)))))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
2 |
(+ 2 (* 1/2 (* a x))) |
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
2 |
(+ 2 (* 1/2 (* a x))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+ 1 (exp (* 1/2 (* a x)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(exp (* 1/2 (* a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* 1/2 (* a x)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ a x) |
(* a (+ (* 1/2 a) (/ 1 x))) |
(* a (+ (* 1/2 a) (/ 1 x))) |
(* a (+ (* 1/2 a) (/ 1 x))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(* (pow a 2) (+ 1/2 (/ 1 (* a x)))) |
(/ a x) |
(/ (+ a (* 1/2 (* (pow a 2) x))) x) |
(/ (+ a (* 1/2 (* (pow a 2) x))) x) |
(/ (+ a (* 1/2 (* (pow a 2) x))) x) |
(* 1/2 (pow a 2)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(* 1/2 (pow a 2)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(+ (* 1/2 (pow a 2)) (/ a x)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* 1/2 (pow a 2)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(* 1/2 (* a x)) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/8 (pow x 3)) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/64 (pow x 4)) (* 1/48 (pow x 4)))))))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) a))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/8 (pow a 3)) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/64 (pow a 4)) (* 1/48 (pow a 4)))))))))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a x)))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a x))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 2 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 2 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a #s(literal 1/48 binary64)) x) #s(literal 1/8 binary64))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a x))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 2 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a (*.f64 a x)))) (*.f64 a (*.f64 a #s(literal 1/8 binary64)))))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a #s(literal 1/48 binary64)) x) #s(literal 1/8 binary64))))))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x))))) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a (*.f64 a x)))) (*.f64 a (*.f64 a #s(literal 1/8 binary64)))))))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a x))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 x (*.f64 a a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 x (*.f64 a a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 a (*.f64 x x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 a (*.f64 x x)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) a))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (*.f64 a (+.f64 (*.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x)))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a #s(literal 1/48 binary64)) x) #s(literal 1/8 binary64)))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a #s(literal 1/48 binary64)) x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 a (pow.f64 x #s(literal 4 binary64))) a)))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a #s(literal 1/8 binary64)) x)))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a (*.f64 a x)))) (*.f64 a (*.f64 a #s(literal 1/8 binary64))))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/8 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/384 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a a))))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
Compiled 39716 to 3125 computations (92.1% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1729 | 5 | 1734 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1732 | 16 | 1748 |
| Status | Accuracy | Program |
|---|---|---|
| 18.4% | (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) | |
| ▶ | 69.6% | (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
| ✓ | 69.6% | (+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
| ▶ | 99.9% | (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.9% | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ▶ | 43.7% | (*.f64 (*.f64 x x) (/.f64 a x)) |
| ✓ | 43.1% | (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
| ✓ | 69.3% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
| 64.1% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) | |
| ▶ | 68.8% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
| ✓ | 69.6% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| 69.1% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) | |
| ✓ | 68.4% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ▶ | 19.6% | (*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) |
| ✓ | 69.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 513 to 286 computations (44.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 a x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x x) (/.f64 a x)) |
| ✓ | cost-diff | 0 | (E.f64) |
| ✓ | cost-diff | 64 | (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 64 | (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| 5672× | *-lowering-*.f32 |
| 5672× | *-lowering-*.f64 |
| 2272× | +-lowering-+.f64 |
| 2272× | +-lowering-+.f32 |
| 2008× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 623 |
| 1 | 165 | 443 |
| 2 | 656 | 419 |
| 3 | 1858 | 413 |
| 4 | 4145 | 413 |
| 0 | 8112 | 413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (pow (E) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (pow (E) (/ (* a x) 2)) 1) |
(pow (E) (/ (* a x) 2)) |
(E) |
(/ (* a x) 2) |
(* a x) |
a |
x |
2 |
1 |
(- (exp (* a (/ x 2))) 1) |
(* a (/ x 2)) |
(/ x 2) |
(* (* x x) (/ a x)) |
(* x x) |
x |
(/ a x) |
a |
(* (* a x) (* x (* (* a (* a x)) 1/6))) |
(* a x) |
a |
x |
(* x (* (* a (* a x)) 1/6)) |
(* (* a (* a x)) 1/6) |
(* a (* a x)) |
1/6 |
(/ (* a x) (/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))) |
(* a x) |
a |
x |
(/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))) |
1 |
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(+ 1/2 (* x (* a 1/6))) |
1/2 |
(* x (* a 1/6)) |
(* a 1/6) |
1/6 |
(* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))) |
(* a x) |
a |
x |
(+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))))) |
1 |
(/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))) |
(* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) |
(- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) |
1/64 |
(* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656)) |
(* (* a x) (* x (* a (* a x)))) |
(* x (* a (* a x))) |
(* a (* a x)) |
(* (* (* a x) (* x (* a (* a x)))) 1/46656) |
1/46656 |
(/ (* a x) (- 1/2 (* x (* a 1/6)))) |
(- 1/2 (* x (* a 1/6))) |
1/2 |
(* x (* a 1/6)) |
(* a 1/6) |
1/6 |
(+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))) |
1/16 |
(* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))) |
(* (* a x) (* a (* x 1/36))) |
(* a (* x 1/36)) |
(* x 1/36) |
1/36 |
(+ 1/4 (* (* a x) (* a (* x 1/36)))) |
1/4 |
| Outputs |
|---|
(* (+ (pow (E) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(+ (pow (E) (/ (* a x) 2)) 1) |
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64)))) |
(pow (E) (/ (* a x) 2)) |
(exp.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(E) |
(E.f64) |
(/ (* a x) 2) |
(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* a x) |
(*.f64 a x) |
a |
x |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(- (exp (* a (/ x 2))) 1) |
(expm1.f64 (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
(* a (/ x 2)) |
(/.f64 (*.f64 a x) #s(literal 2 binary64)) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
(* (* x x) (/ a x)) |
(*.f64 a x) |
(* x x) |
(*.f64 x x) |
x |
(/ a x) |
(/.f64 a x) |
a |
(* (* a x) (* x (* (* a (* a x)) 1/6))) |
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(* x (* (* a (* a x)) 1/6)) |
(*.f64 a (*.f64 x (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))) |
(* (* a (* a x)) 1/6) |
(*.f64 a (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) |
(* a (* a x)) |
(*.f64 a (*.f64 a x)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* a x) (/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))))) |
(+ 1/2 (* x (* a 1/6))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* a 1/6)) |
(*.f64 (*.f64 a x) #s(literal 1/6 binary64)) |
(* a 1/6) |
(*.f64 a #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal -1/46656 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64)))))))) |
(* a x) |
(*.f64 a x) |
a |
x |
(+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal -1/46656 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64)))))) |
1 |
#s(literal 1 binary64) |
(/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))) |
(/.f64 (/.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal -1/46656 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64))))) |
(* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) |
(/.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal -1/46656 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) |
(- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) |
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 x (*.f64 a x)) #s(literal -1/46656 binary64)))))) |
1/64 |
#s(literal 1/64 binary64) |
(* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656)) |
(*.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/46656 binary64))))) |
(* (* a x) (* x (* a (* a x)))) |
(*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) |
(* x (* a (* a x))) |
(*.f64 a (*.f64 x (*.f64 a x))) |
(* a (* a x)) |
(*.f64 a (*.f64 a x)) |
(* (* (* a x) (* x (* a (* a x)))) 1/46656) |
(*.f64 (*.f64 a (*.f64 a x)) (*.f64 #s(literal 1/46656 binary64) (*.f64 x (*.f64 a x)))) |
1/46656 |
#s(literal 1/46656 binary64) |
(/ (* a x) (- 1/2 (* x (* a 1/6)))) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) |
(- 1/2 (* x (* a 1/6))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* a 1/6)) |
(*.f64 (*.f64 a x) #s(literal 1/6 binary64)) |
(* a 1/6) |
(*.f64 a #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64)))) |
1/16 |
#s(literal 1/16 binary64) |
(* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))) |
(*.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) (+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64))) |
(* (* a x) (* a (* x 1/36))) |
(*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) |
(* a (* x 1/36)) |
(*.f64 a (*.f64 x #s(literal 1/36 binary64))) |
(* x 1/36) |
(*.f64 x #s(literal 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/4 (* (* a x) (* a (* x 1/36)))) |
(+.f64 (*.f64 a (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 a x)))) #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 a #s(literal 1/6 binary64)) |
| ✓ | accuracy | 92.8% | (*.f64 x (*.f64 a (*.f64 a x))) |
| ✓ | accuracy | 91.0% | (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 80.2% | (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 a #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 a #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 92.8% | (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 a x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 62.4% | (*.f64 (*.f64 x x) (/.f64 a x)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 100.0% | (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) |
| 217.0ms | 173× | 1 | valid |
| 67.0ms | 83× | 0 | valid |
Compiled 633 to 52 computations (91.8% saved)
ival-mult: 60.0ms (28.4% of total)ival-div: 35.0ms (16.6% of total)...c/correct-round.rkt:119:19: 24.0ms (11.4% of total)backward-pass: 24.0ms (11.4% of total)ival-pow: 17.0ms (8.1% of total)compiled-spec: 15.0ms (7.1% of total)ival-add: 12.0ms (5.7% of total)ival-exp: 10.0ms (4.7% of total)ival-sub: 7.0ms (3.3% of total)ival-e: 4.0ms (1.9% of total)const: 2.0ms (0.9% of total)| Inputs |
|---|
#<alt (* (+ (pow (E) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1))> |
#<alt (+ (pow (E) (/ (* a x) 2)) 1)> |
#<alt (pow (E) (/ (* a x) 2))> |
#<alt (E)> |
#<alt (* (* x x) (/ a x))> |
#<alt (* x x)> |
#<alt (/ a x)> |
#<alt (* (* a x) (* x (* (* a (* a x)) 1/6)))> |
#<alt (* a x)> |
#<alt (* x (* (* a (* a x)) 1/6))> |
#<alt (* (* a (* a x)) 1/6)> |
#<alt (/ (* a x) (/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))))> |
#<alt (/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))> |
#<alt (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))> |
#<alt (* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))))))> |
#<alt (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))> |
#<alt (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))))> |
#<alt (- (exp (* a (/ x 2))) 1)> |
#<alt (* a (* a x))> |
#<alt (* a 1/6)> |
#<alt (* x (* a 1/6))> |
#<alt (* (* a x) (+ 1/2 (* x (* a 1/6))))> |
#<alt (/ (* a x) (- 1/2 (* x (* a 1/6))))> |
#<alt (* x (* a (* a x)))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (* 1/4 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2)))))))))))> |
#<alt (* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 2))) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/96 (* (pow x 4) (log (E)))) (+ (* 1/96 (* (pow x 4) (pow (log (E)) 3))) (* 1/64 (* (pow x 4) (pow (log (E)) 2))))))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* a x)> |
#<alt (* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (* 1/4 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (* 1/16 (* (pow a 3) (pow (log (E)) 2)))))))))))> |
#<alt (* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (+ (* 1/16 (* (pow a 3) (pow (log (E)) 2))) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/96 (* (pow a 4) (log (E)))) (+ (* 1/96 (* (pow a 4) (pow (log (E)) 3))) (* 1/64 (* (pow a 4) (pow (log (E)) 2))))))))))))))))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt (* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a (* x (log (E))))))> |
#<alt (+ 2 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E)))))))> |
#<alt (+ 2 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt 2> |
#<alt (+ 2 (* 1/2 (* a (* x (log (E))))))> |
#<alt (+ 2 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E)))))))> |
#<alt (+ 2 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2))))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt (+ 1 (exp (* 1/2 (* a (* x (log (E)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a (* x (log (E))))))> |
#<alt (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E)))))))> |
#<alt (+ 1 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* a (* x (log (E))))))> |
#<alt (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E)))))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2))))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (exp (* 1/2 (* a (* x (log (E))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (/ a x)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* 1/6 (* (pow a 2) x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* a x)))> |
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))> |
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))> |
#<alt (/ 6 (* (pow a 2) (pow x 2)))> |
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))> |
#<alt (/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2))> |
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2))> |
#<alt (/ 6 (* (pow a 2) (pow x 2)))> |
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* a x)))> |
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))> |
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))> |
#<alt (/ 6 (* (pow a 2) (pow x 2)))> |
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))> |
#<alt (/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2))> |
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2))> |
#<alt (/ 6 (* (pow a 2) (pow x 2)))> |
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))> |
#<alt 1> |
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#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt 1> |
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#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1 (* a (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3)))))) (* 1/6 (pow x 3))))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1 (* a (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3)))))) (* 1/6 (pow a 3))))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt 1> |
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#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))> |
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2)))))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a))))> |
#<alt (* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))> |
#<alt 1> |
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#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))> |
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2)))))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2))))))> |
#<alt (* a (+ (* 1/2 x) (* a (- (* a (- (* -1 (* a (+ (* -1/54 (pow x 4)) (+ (* 1/54 (pow x 4)) (* 1/3 (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))))))) (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2))))))> |
#<alt (* x (+ (* 1/2 a) (* x (- (* x (- (* -1 (* x (+ (* -1/54 (pow a 4)) (+ (* 1/54 (pow a 4)) (* 1/3 (* a (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))))))) (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2))))))> |
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2))))))> |
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3))))))))> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (- (exp (* 1/2 (* a x))) 1)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* (pow a 2) x)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/6 (* a x))> |
#<alt (* 1/2 (* a x))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* 1/2 (* a x))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 2 (* a x))> |
#<alt (* a (+ (* 2/3 (* a (pow x 2))) (* 2 x)))> |
#<alt (* a (+ (* 2 x) (* a (- (* 2/9 (* a (pow x 3))) (* -2/3 (pow x 2))))))> |
#<alt (* a (+ (* 2 x) (* a (- (* a (- (* 2/27 (* a (pow x 4))) (* -2/9 (pow x 3)))) (* -2/3 (pow x 2))))))> |
#<alt -6> |
#<alt (* -1 (+ 6 (* 18 (/ 1 (* a x)))))> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6)> |
#<alt (- (* -1 (/ (+ (* 54 (/ 1 (pow x 2))) (* 162 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 6 (/ 18 (* a x))))> |
#<alt -6> |
#<alt (* -1 (+ 6 (* 18 (/ 1 (* a x)))))> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6)> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 x)) (+ (/ 54 (* a (pow x 2))) (/ 162 (* (pow a 2) (pow x 3))))) a)) 6)> |
#<alt (* 2 (* a x))> |
#<alt (* x (+ (* 2/3 (* (pow a 2) x)) (* 2 a)))> |
#<alt (* x (+ (* 2 a) (* x (- (* 2/9 (* (pow a 3) x)) (* -2/3 (pow a 2))))))> |
#<alt (* x (+ (* 2 a) (* x (- (* x (- (* 2/27 (* (pow a 4) x)) (* -2/9 (pow a 3)))) (* -2/3 (pow a 2))))))> |
#<alt -6> |
#<alt (* -1 (+ 6 (* 18 (/ 1 (* a x)))))> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6)> |
#<alt (- (* -1 (/ (+ (* 54 (/ 1 (pow a 2))) (* 162 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 6 (/ 18 (* a x))))> |
#<alt -6> |
#<alt (* -1 (+ 6 (* 18 (/ 1 (* a x)))))> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6)> |
#<alt (- (* -1 (/ (+ (* 18 (/ 1 a)) (+ (/ 54 (* (pow a 2) x)) (/ 162 (* (pow a 3) (pow x 2))))) x)) 6)> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (pow x 2))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))) |
| 2.0ms | x | @ | inf | (* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))) |
| 1.0ms | a | @ | 0 | (* (+ (pow (E) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
| 1.0ms | a | @ | -inf | (/ (* a x) (- 1/2 (* x (* a 1/6)))) |
| 1.0ms | a | @ | inf | (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))) |
| 1× | batch-egg-rewrite |
| 5732× | *-lowering-*.f32 |
| 5732× | *-lowering-*.f64 |
| 2768× | pow-lowering-pow.f64 |
| 2768× | pow-lowering-pow.f32 |
| 2360× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 329 | 261 |
| 2 | 2886 | 192 |
| 0 | 10014 | 192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (pow (E) (/ (* a x) 2)) 1) (- (exp (* a (/ x 2))) 1)) |
(+ (pow (E) (/ (* a x) 2)) 1) |
(pow (E) (/ (* a x) 2)) |
(E) |
(* (* x x) (/ a x)) |
(* x x) |
(/ a x) |
(* (* a x) (* x (* (* a (* a x)) 1/6))) |
(* a x) |
(* x (* (* a (* a x)) 1/6)) |
(* (* a (* a x)) 1/6) |
(/ (* a x) (/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))) |
(/ 1 (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))) |
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))) |
(* (* a x) (+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))))) |
(+ 1 (/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36)))))))) |
(/ (* (- 1/64 (* (* (* a x) (* x (* a (* a x)))) (* (* (* a x) (* x (* a (* a x)))) 1/46656))) (/ (* a x) (- 1/2 (* x (* a 1/6))))) (+ 1/16 (* (* (* a x) (* a (* x 1/36))) (+ 1/4 (* (* a x) (* a (* x 1/36))))))) |
(- (exp (* a (/ x 2))) 1) |
(* a (* a x)) |
(* a 1/6) |
(* x (* a 1/6)) |
(* (* a x) (+ 1/2 (* x (* a 1/6)))) |
(/ (* a x) (- 1/2 (* x (* a 1/6)))) |
(* x (* a (* a x))) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (*.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (*.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64))) (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 2 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(-.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(*.f64 (+.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (E.f64))) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (E.f64) a)) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 x #s(literal 2 binary64)))) a)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(sqrt.f64 (exp.f64 (*.f64 a x))) |
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(pow.f64 (E.f64) (/.f64 a (/.f64 #s(literal 2 binary64) x))) |
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(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
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(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(pow.f64 (E.f64) (*.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (E.f64) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
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(pow.f64 (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) |
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(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
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(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
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(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (E.f64) a) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 x #s(literal 2 binary64))) a) |
(pow.f64 (exp.f64 (+.f64 a a)) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (E.f64) x) (*.f64 #s(literal 1/2 binary64) a)) |
(pow.f64 (pow.f64 (E.f64) x) (*.f64 a #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) x) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) (*.f64 a x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) a)) x) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) a) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 a x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 x #s(literal 2 binary64))) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (pow.f64 (E.f64) a) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 1/2 binary64) a)) |
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) a)) x) |
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(*.f64 #s(literal 1 binary64) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
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(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 a (/.f64 #s(literal 2 binary64) x))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(*.f64 (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 a x) #s(literal 4 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64)))) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (*.f64 a x) #s(literal 4 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(E.f64) |
(log.f64 (exp.f64 (E.f64))) |
(exp.f64 #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) #s(literal 1/3 binary64))) |
(fabs.f64 (E.f64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (E.f64) (E.f64))) |
(cbrt.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) |
(expm1.f64 (log1p.f64 (E.f64))) |
(log1p.f64 (expm1.f64 (E.f64))) |
(pow.f64 (E.f64) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (E.f64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (E.f64)) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))))) |
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)))) |
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (E.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))) (pow.f64 (E.f64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) (exp.f64 #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (E.f64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 a x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (*.f64 a x)) x) |
(/.f64 (neg.f64 (*.f64 x (*.f64 a x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 x a)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x (*.f64 x (*.f64 a x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1 binary64)) |
(*.f64 a x) |
(*.f64 a (/.f64 x #s(literal 1 binary64))) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 x a) |
(*.f64 x (/.f64 (*.f64 a x) x)) |
(*.f64 x (/.f64 a #s(literal 1 binary64))) |
(*.f64 x (*.f64 a #s(literal 1 binary64))) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 a x) x) x) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x a)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) x)) |
(/.f64 a x) |
(/.f64 #s(literal 1 binary64) (/.f64 x a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x a) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x a))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 a #s(literal 1 binary64)) x) |
(pow.f64 (/.f64 x a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 a x)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) a) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
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(*.f64 x (*.f64 a (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
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(*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/6 binary64)) |
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(*.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) a) |
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(fma.f64 x (/.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
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(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x))) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x))) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x))) |
(fma.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x) (*.f64 a x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) a (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) a (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) a) x (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) a) x (*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) a) #s(literal -1 binary64))) |
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(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x (*.f64 (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x))))) #s(literal 1/216 binary64))) (+.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (/.f64 a (/.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (/.f64 a (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (-.f64 (/.f64 a (/.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 a (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 a x) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal 1/216 binary64))) (*.f64 a x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64)))))) (*.f64 a x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) |
(*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 x (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) (*.f64 a x)) |
(*.f64 (*.f64 a (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))) a) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) (*.f64 a x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))) (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))))) |
(*.f64 x (/.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (*.f64 a x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) a) |
(*.f64 (/.f64 (*.f64 a x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x (*.f64 a x)))) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 a #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (/.f64 (*.f64 a x) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a x)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 a x) #s(literal 2 binary64)) |
(*.f64 a (*.f64 x (*.f64 a x))) |
(*.f64 x (*.f64 a (*.f64 a x))) |
(*.f64 (*.f64 a x) (*.f64 a x)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x (*.f64 a x)))) |
(*.f64 (*.f64 x x) (*.f64 a a)) |
(*.f64 (*.f64 x x) (pow.f64 (/.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a (*.f64 a x)) x) |
(*.f64 (*.f64 a (*.f64 x (*.f64 a x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 a x)) a) |
(*.f64 (*.f64 a a) (*.f64 x x)) |
(*.f64 (*.f64 a a) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 a a)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (*.f64 x x)) |
| 1× | egg-herbie |
| 4844× | *-lowering-*.f32 |
| 4844× | *-lowering-*.f64 |
| 2416× | +-lowering-+.f64 |
| 2416× | +-lowering-+.f32 |
| 1648× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 609 | 5402 |
| 1 | 2226 | 4574 |
| 2 | 7987 | 4506 |
| 0 | 8082 | 4506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (* 1/4 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2))))))))))) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 2))) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/96 (* (pow x 4) (log (E)))) (+ (* 1/96 (* (pow x 4) (pow (log (E)) 3))) (* 1/64 (* (pow x 4) (pow (log (E)) 2)))))))))))))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* a x) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (* 1/4 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (* 1/16 (* (pow a 3) (pow (log (E)) 2))))))))))) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (+ (* 1/16 (* (pow a 3) (pow (log (E)) 2))) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/96 (* (pow a 4) (log (E)))) (+ (* 1/96 (* (pow a 4) (pow (log (E)) 3))) (* 1/64 (* (pow a 4) (pow (log (E)) 2)))))))))))))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
2 |
(+ 2 (* 1/2 (* a (* x (log (E)))))) |
(+ 2 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E))))))) |
(+ 2 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
2 |
(+ 2 (* 1/2 (* a (* x (log (E)))))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E))))))) |
(+ 2 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
1 |
(+ 1 (* 1/2 (* a (* x (log (E)))))) |
(+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E))))))) |
(+ 1 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
1 |
(+ 1 (* 1/2 (* a (* x (log (E)))))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E))))))) |
(+ 1 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(/ a x) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* 1/6 (* (pow a 2) x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
1 |
(+ 1 (* -1/2 (* a x))) |
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x)))) |
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x)))) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2)) |
(/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2)) |
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2)) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2)) |
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2)) |
1 |
(+ 1 (* -1/2 (* a x))) |
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) |
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2)) |
(/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2)) |
(/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2)) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2)) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1 (* a (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3)))))) (* 1/6 (pow x 3)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1 (* a (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3)))))) (* 1/6 (pow a 3)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2)))))) |
(* a (+ (* 1/2 x) (* a (- (* a (- (* -1 (* a (+ (* -1/54 (pow x 4)) (+ (* 1/54 (pow x 4)) (* 1/3 (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))))))) (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2)))))) |
(* x (+ (* 1/2 a) (* x (- (* x (- (* -1 (* x (+ (* -1/54 (pow a 4)) (+ (* 1/54 (pow a 4)) (* 1/3 (* a (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))))))) (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(* 1/2 (* a x)) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(- (exp (* 1/2 (* a x))) 1) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/6 (* a x)) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 2 (* a x)) |
(* a (+ (* 2/3 (* a (pow x 2))) (* 2 x))) |
(* a (+ (* 2 x) (* a (- (* 2/9 (* a (pow x 3))) (* -2/3 (pow x 2)))))) |
(* a (+ (* 2 x) (* a (- (* a (- (* 2/27 (* a (pow x 4))) (* -2/9 (pow x 3)))) (* -2/3 (pow x 2)))))) |
-6 |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6) |
(- (* -1 (/ (+ (* 54 (/ 1 (pow x 2))) (* 162 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 6 (/ 18 (* a x)))) |
-6 |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (+ (/ 54 (* a (pow x 2))) (/ 162 (* (pow a 2) (pow x 3))))) a)) 6) |
(* 2 (* a x)) |
(* x (+ (* 2/3 (* (pow a 2) x)) (* 2 a))) |
(* x (+ (* 2 a) (* x (- (* 2/9 (* (pow a 3) x)) (* -2/3 (pow a 2)))))) |
(* x (+ (* 2 a) (* x (- (* x (- (* 2/27 (* (pow a 4) x)) (* -2/9 (pow a 3)))) (* -2/3 (pow a 2)))))) |
-6 |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6) |
(- (* -1 (/ (+ (* 54 (/ 1 (pow a 2))) (* 162 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 6 (/ 18 (* a x)))) |
-6 |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (+ (/ 54 (* (pow a 2) x)) (/ 162 (* (pow a 3) (pow x 2))))) x)) 6) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (pow x 2)) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (* 1/4 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (* 1/16 (* (pow x 3) (pow (log (E)) 2))))))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))))) |
(* a (+ x (* a (+ (* 1/4 (* (pow x 2) (log (E)))) (+ (* 1/4 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (+ (* 1/16 (* (pow x 3) (log (E)))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 2))) (* a (+ (* 1/192 (pow x 4)) (+ (* 1/96 (* (pow x 4) (log (E)))) (+ (* 1/96 (* (pow x 4) (pow (log (E)) 3))) (* 1/64 (* (pow x 4) (pow (log (E)) 2)))))))))))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/96 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/192 binary64)))))))))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (* 1/4 (pow a 2)))))) |
(*.f64 x (+.f64 a (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (* 1/16 (* (pow a 3) (pow (log (E)) 2))))))))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)))))))) |
(* x (+ a (* x (+ (* 1/4 (* (pow a 2) (log (E)))) (+ (* 1/4 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (+ (* 1/16 (* (pow a 3) (log (E)))) (+ (* 1/16 (* (pow a 3) (pow (log (E)) 2))) (* x (+ (* 1/192 (pow a 4)) (+ (* 1/96 (* (pow a 4) (log (E)))) (+ (* 1/96 (* (pow a 4) (pow (log (E)) 3))) (* 1/64 (* (pow a 4) (pow (log (E)) 2)))))))))))))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/192 binary64) (pow.f64 a #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/192 binary64))))))))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(* (+ 1 (exp (* 1/2 (* a (* x (log (E))))))) (- (exp (* 1/2 (* a x))) 1)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a (* x (log (E)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 2 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))) |
(+ 2 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64))))) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/2 (* a (* x (log (E)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 2 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))) |
(+ 2 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))) (*.f64 a #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (exp (* 1/2 (* a (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a (* x (log (E)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (E)) 2)))) (* 1/2 (* x (log (E))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))) |
(+ 1 (* a (+ (* 1/2 (* x (log (E)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (E)) 3)))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64))))) (*.f64 x #s(literal 1/2 binary64))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a (* x (log (E)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (E)) 2)))) (* 1/2 (* a (log (E))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))) |
(+ 1 (* x (+ (* 1/2 (* a (log (E)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (E)) 3)))) (* 1/8 (* (pow a 2) (pow (log (E)) 2)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))) (*.f64 a #s(literal 1/2 binary64))))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(exp (* 1/2 (* a (* x (log (E)))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
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(* a x) |
(*.f64 a x) |
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(*.f64 a x) |
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(*.f64 a x) |
(* a x) |
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(* a x) |
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(* a x) |
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(* a x) |
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(* a x) |
(*.f64 a x) |
(* a x) |
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(* a x) |
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(* a x) |
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(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ a x) |
(/.f64 a x) |
(/ a x) |
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(/ a x) |
(/.f64 a x) |
(/ a x) |
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(/.f64 a x) |
(/ a x) |
(/.f64 a x) |
(/ a x) |
(/.f64 a x) |
(/ a x) |
(/.f64 a x) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* a x) |
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(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
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(* a x) |
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(* a x) |
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(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a)) (/.f64 x (*.f64 a a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a)) (/.f64 x (*.f64 a a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) a) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)) (/.f64 a (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)) (/.f64 a (*.f64 x x))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) x)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 a x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 a x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (neg.f64 a)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))))) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 a (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 x (*.f64 x x)))))) (*.f64 a a)) |
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 a (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 x (*.f64 x x))))))) (*.f64 a a)) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -18 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 54 binary64) a) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 18 binary64) (pow.f64 x #s(literal 4 binary64)))) a)) a)) (*.f64 a a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/12 binary64))) (*.f64 a #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) #s(literal -1/12 binary64)))) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 a a) #s(literal 1/12 binary64)))) (*.f64 a #s(literal -1/2 binary64))))) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 a (*.f64 a x)))))) (*.f64 x x)) |
(/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x (*.f64 x (pow.f64 a #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 a a)) (-.f64 (/.f64 (/.f64 #s(literal 54 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 a (*.f64 a x))))))) (*.f64 x x)) |
(/ 6 (* (pow a 2) (pow x 2))) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a (*.f64 x x)))) |
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 a (*.f64 x (*.f64 x x))))) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 a a)) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -18 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))))) x)) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 54 binary64) x) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 18 binary64) (pow.f64 a #s(literal 4 binary64)))) x)) x)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1 (* a (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3)))))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 a (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a)) (/.f64 x (*.f64 a a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) a)) (/.f64 x (*.f64 a a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) a) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 x a)) a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1 (* a (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3)))))) (* 1/6 (pow a 3)))))))) |
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a x) #s(literal 0 binary64)))))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)) (/.f64 a (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x)) (/.f64 a (*.f64 x x))))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/6 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) x)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 a x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 a x) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(+ 1 (* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 a #s(literal 0 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))) |
(* (pow a 2) (- (+ (* 1/6 (pow x 2)) (/ 1 (pow a 2))) (* -1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a)))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 a (*.f64 a (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(+ 1 (* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 x #s(literal 0 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))))) |
(* (pow x 2) (- (+ (* 1/6 (pow a 2)) (/ 1 (pow x 2))) (* -1/2 (/ a x)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* a (+ (* 1/2 x) (* a (- (* -1 (* a (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 a #s(literal 0 binary64)))))) |
(* a (+ (* 1/2 x) (* a (- (* a (- (* -1 (* a (+ (* -1/54 (pow x 4)) (+ (* 1/54 (pow x 4)) (* 1/3 (* x (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))))))) (+ (* -1/18 (pow x 3)) (* 1/18 (pow x 3))))) (* -1/6 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 a)) #s(literal 0 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* x (+ (* 1/2 a) (* x (- (* -1 (* x (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 x #s(literal 0 binary64)))))) |
(* x (+ (* 1/2 a) (* x (- (* x (- (* -1 (* x (+ (* -1/54 (pow a 4)) (+ (* 1/54 (pow a 4)) (* 1/3 (* a (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))))))) (+ (* -1/18 (pow a 3)) (* 1/18 (pow a 3))))) (* -1/6 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 a #s(literal 0 binary64))) (neg.f64 x)) #s(literal 0 binary64))))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) |
(* a (+ (* 1/2 x) (* a (+ (* 1/8 (pow x 2)) (* a (+ (* 1/384 (* a (pow x 4))) (* 1/48 (pow x 3)))))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 a (+.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64))) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))) (*.f64 a #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 a) (* x (+ (* 1/8 (pow a 2)) (* x (+ (* 1/384 (* (pow a 4) x)) (* 1/48 (pow a 3)))))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/384 binary64))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/48 binary64)))))))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(- (exp (* 1/2 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* (pow a 2) x) |
(*.f64 a (*.f64 a x)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/6 binary64))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) a))) |
(* 1/2 (* a x)) |
(*.f64 a (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 a (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* 2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* a (+ (* 2/3 (* a (pow x 2))) (* 2 x))) |
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(* a (+ (* 2 x) (* a (- (* 2/9 (* a (pow x 3))) (* -2/3 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 a (*.f64 x (*.f64 x x))) #s(literal 2/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))) |
(* a (+ (* 2 x) (* a (- (* a (- (* 2/27 (* a (pow x 4))) (* -2/9 (pow x 3)))) (* -2/3 (pow x 2)))))) |
(*.f64 a (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/27 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/9 binary64)))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))) |
-6 |
#s(literal -6 binary64) |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x))) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 x x)))) (neg.f64 a)) #s(literal -6 binary64)) |
(- (* -1 (/ (+ (* 54 (/ 1 (pow x 2))) (* 162 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 6 (/ 18 (* a x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x x))) a)) (neg.f64 (*.f64 a a))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x)))) |
-6 |
#s(literal -6 binary64) |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x))) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (* 54 (/ 1 (* a (pow x 2))))) a)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 x x)))) (neg.f64 a)) #s(literal -6 binary64)) |
(- (* -1 (/ (+ (* 18 (/ 1 x)) (+ (/ 54 (* a (pow x 2))) (/ 162 (* (pow a 2) (pow x 3))))) a)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 x x))) (+.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 (/.f64 #s(literal 162 binary64) (*.f64 a a)) (*.f64 x (*.f64 x x))))) (neg.f64 a)) #s(literal -6 binary64)) |
(* 2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(* x (+ (* 2/3 (* (pow a 2) x)) (* 2 a))) |
(*.f64 a (+.f64 (*.f64 a (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ (* 2 a) (* x (- (* 2/9 (* (pow a 3) x)) (* -2/3 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a x))) #s(literal 2/9 binary64)) (*.f64 (*.f64 a a) #s(literal 2/3 binary64)))))) |
(* x (+ (* 2 a) (* x (- (* x (- (* 2/27 (* (pow a 4) x)) (* -2/9 (pow a 3)))) (* -2/3 (pow a 2)))))) |
(*.f64 x (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (pow.f64 a #s(literal 4 binary64))) #s(literal 2/27 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 2/9 binary64)))) (*.f64 (*.f64 a a) #s(literal 2/3 binary64)))))) |
-6 |
#s(literal -6 binary64) |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x))) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) a) (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 a x)))) (neg.f64 x)) #s(literal -6 binary64)) |
(- (* -1 (/ (+ (* 54 (/ 1 (pow a 2))) (* 162 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 6 (/ 18 (* a x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 a a)) (/.f64 #s(literal 162 binary64) (*.f64 a (*.f64 a (*.f64 a x))))) (neg.f64 (*.f64 x x))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x)))) |
-6 |
#s(literal -6 binary64) |
(* -1 (+ 6 (* 18 (/ 1 (* a x))))) |
(+.f64 #s(literal -6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 a x))) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (* 54 (/ 1 (* (pow a 2) x)))) x)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) a) (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 a x)))) (neg.f64 x)) #s(literal -6 binary64)) |
(- (* -1 (/ (+ (* 18 (/ 1 a)) (+ (/ 54 (* (pow a 2) x)) (/ 162 (* (pow a 3) (pow x 2))))) x)) 6) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 a (*.f64 a x))) (+.f64 (/.f64 #s(literal 18 binary64) a) (/.f64 #s(literal 162 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))) (neg.f64 x)) #s(literal -6 binary64)) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
Compiled 78750 to 4814 computations (93.9% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1991 | 12 | 2003 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 5 | 8 |
| Total | 1996 | 23 | 2019 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (/.f64 (*.f64 x (*.f64 a x)) x) | |
| 43.3% | (/.f64 (*.f64 x x) (/.f64 x a)) | |
| 18.4% | (/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) | |
| ✓ | 69.6% | (/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
| 64.5% | (/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/12 binary64))) (*.f64 a #s(literal -1/2 binary64)))))) | |
| 72.3% | (/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) | |
| 68.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) | |
| 68.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) | |
| 99.9% | (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))))) | |
| ✓ | 99.9% | (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.9% | (*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
| 19.5% | (*.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) (*.f64 a (*.f64 a x))) | |
| 69.3% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64))))))))) a) | |
| 55.7% | (*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 43.7% | (*.f64 (*.f64 x x) (/.f64 a x)) |
| 43.7% | (*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) a)) | |
| 64.1% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) | |
| 68.9% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) | |
| ✓ | 69.6% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
| 69.1% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) | |
| ✓ | 68.4% | (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| ✓ | 69.5% | (*.f64 a x) |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
Compiled 1150 to 433 computations (62.3% saved)
| Inputs |
|---|
(*.f64 a x) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
(/.f64 (*.f64 x (*.f64 a x)) x) |
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) (*.f64 a (*.f64 a x))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/12 binary64))) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64))))))))) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 4 binary64)))))) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
5 calls:
| 10.0ms | a |
| 9.0ms | x |
| 9.0ms | (*.f64 a x) |
| 8.0ms | (exp.f64 (*.f64 a x)) |
| 7.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 a x) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
(/.f64 (*.f64 x (*.f64 a x)) x) |
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 a x) (*.f64 x (*.f64 (*.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 a x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 a x)) #s(literal 1/6 binary64)) (*.f64 a (*.f64 a x))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 a x)) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 a a) #s(literal 1/12 binary64))) (*.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/36 binary64))) (*.f64 a x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 x (*.f64 x (*.f64 a #s(literal 1/36 binary64))))))))) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64))))))) (-.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 (*.f64 a x) (*.f64 x (*.f64 a (*.f64 a x)))) #s(literal 1/46656 binary64)))) (/.f64 (*.f64 a x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a x) (*.f64 a (*.f64 x #s(literal 1/36 binary64)))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) |
3 calls:
| 11.0ms | a |
| 8.0ms | (*.f64 a x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 1 | a |
| 72.3% | 1 | x |
| 72.3% | 1 | (*.f64 a x) |
Compiled 11 to 7 computations (36.4% saved)
Total -33.3b remaining (-170.5%)
Threshold costs -33.3b (-170.5%)
| Inputs |
|---|
(*.f64 a x) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
(/.f64 (*.f64 x (*.f64 a x)) x) |
(*.f64 (*.f64 a x) (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 (*.f64 x (*.f64 a x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 a x) (/.f64 #s(literal 2 binary64) (*.f64 a x))) |
(*.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 a x) |
3 calls:
| 4.0ms | x |
| 4.0ms | a |
| 3.0ms | (*.f64 a x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 1 | x |
| 69.5% | 1 | a |
| 69.5% | 1 | (*.f64 a x) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 17 | 18 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 a x) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(/.f64 (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 a x) |
| 4844× | *-lowering-*.f32 |
| 4844× | *-lowering-*.f64 |
| 4442× | fma-define |
| 3688× | fma-lowering-fma.f32 |
| 3688× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 609 | 5402 |
| 1 | 2226 | 4574 |
| 2 | 7987 | 4506 |
| 0 | 8082 | 4506 |
| 0 | 58 | 250 |
| 1 | 192 | 238 |
| 2 | 604 | 236 |
| 3 | 1416 | 232 |
| 4 | 2879 | 232 |
| 5 | 3199 | 232 |
| 6 | 3406 | 230 |
| 7 | 3492 | 230 |
| 8 | 3506 | 230 |
| 9 | 3508 | 230 |
| 10 | 4704 | 230 |
| 11 | 4704 | 230 |
| 12 | 4704 | 230 |
| 13 | 5383 | 230 |
| 14 | 5849 | 230 |
| 15 | 6875 | 230 |
| 0 | 8083 | 230 |
| 0 | 6 | 4 |
| 1 | 15 | 4 |
| 2 | 18 | 4 |
| 0 | 18 | 4 |
| 0 | 21 | 119 |
| 1 | 126 | 102 |
| 2 | 1125 | 98 |
| 0 | 8513 | 98 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 58 to 36 computations (37.9% saved)
(sort a x)
Compiled 92 to 56 computations (39.1% saved)
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