
Time bar (total: 38.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 1 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 3 |
| 0% | 0% | 22.2% | 77.8% | 0% | 0% | 0% | 4 |
| 0% | 0% | 20.6% | 79.4% | 0% | 0% | 0% | 5 |
| 0% | 0% | 18.3% | 81.7% | 0% | 0% | 0% | 6 |
| 0% | 0% | 10.7% | 89.3% | 0% | 0% | 0% | 7 |
| 0% | 0% | 9.3% | 90.7% | 0% | 0% | 0% | 8 |
| 0% | 0% | 8.2% | 91.8% | 0% | 0% | 0% | 9 |
| 0% | 0% | 5.7% | 94.3% | 0% | 0% | 0% | 10 |
| 0% | 0% | 5% | 95% | 0% | 0% | 0% | 11 |
| 0% | 0% | 4.4% | 95.6% | 0% | 0% | 0% | 12 |
Compiled 54 to 30 computations (44.4% saved)
ival-mult: 44.0ms (26.8% of total)...c/correct-round.rkt:119:19: 27.0ms (16.4% of total)ival-exp: 24.0ms (14.6% of total)ival-sub: 19.0ms (11.6% of total)ival-<=: 15.0ms (9.1% of total)ival-fabs: 12.0ms (7.3% of total)ival-add: 7.0ms (4.3% of total)ival-fmin: 7.0ms (4.3% of total)ival-and: 5.0ms (3% of total)ival-div: 3.0ms (1.8% of total)const: 1.0ms (0.6% of total)backward-pass: 1.0ms (0.6% of total)| 15.5s | 63348× | 0 | precondition |
| 8.4s | 5975× | 2 | valid |
| 1.5s | 2279× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
ival-exp: 6.5s (31.3% of total)ival-mult: 4.8s (23.1% of total)...c/correct-round.rkt:119:19: 2.3s (11% of total)ival-sub: 1.6s (7.9% of total)ival-<=: 1.4s (6.5% of total)ival-fabs: 1.2s (5.9% of total)ival-add: 823.0ms (4% of total)ival-fmin: 635.0ms (3.1% of total)backward-pass: 619.0ms (3% of total)ival-and: 404.0ms (1.9% of total)ival-div: 392.0ms (1.9% of total)const: 86.0ms (0.4% of total)| 2× | egg-herbie |
| 2324× | *-lowering-*.f32 |
| 2324× | *-lowering-*.f64 |
| 1986× | sum3-define |
| 1956× | fma-lowering-fma.f32 |
| 1956× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 197 |
| 1 | 282 | 193 |
| 2 | 743 | 193 |
| 3 | 2322 | 193 |
| 0 | 17 | 18 |
| 1 | 46 | 18 |
| 2 | 99 | 18 |
| 3 | 179 | 18 |
| 4 | 443 | 18 |
| 5 | 911 | 18 |
| 6 | 1816 | 18 |
| 7 | 5697 | 18 |
| 0 | 8192 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
| Outputs |
|---|
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a))) |
| Inputs |
|---|
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))) |
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))) |
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))) |
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))) |
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))) |
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) |
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1))) |
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1))) |
| Outputs |
|---|
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (expm1 (* eps (+ a b))) (/ (/ eps (expm1 (* eps b))) (expm1 (* eps a)))) |
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))) |
(* (expm1 (* eps (- b a))) (/ (/ eps (expm1 (* eps (neg a)))) (expm1 (* eps b)))) |
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))) |
(* (expm1 (* eps (- a b))) (/ (/ eps (expm1 (* eps a))) (expm1 (* eps (neg b))))) |
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))) |
(* (expm1 (* eps (- (neg a) b))) (/ (/ (neg eps) (expm1 (* eps (neg a)))) (expm1 (* eps (neg b))))) |
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))) |
(/ (* eps (expm1 (* eps (- b a)))) (* (expm1 (* eps b)) (neg (expm1 (* eps (neg a)))))) |
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))) |
(* (/ (expm1 (* eps (- a b))) (expm1 (* eps a))) (/ (neg eps) (expm1 (* eps (neg b))))) |
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))) |
(* (expm1 (* eps (- (neg a) b))) (/ (/ eps (expm1 (* eps (neg b)))) (expm1 (* eps (neg a))))) |
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) |
(* (expm1 (* eps (+ a b))) (/ (/ eps (expm1 (* eps b))) (expm1 (* eps a)))) |
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1))) |
(* (expm1 (* a (+ eps b))) (/ (/ a (expm1 (* eps a))) (expm1 (* a b)))) |
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1))) |
(* (expm1 (* b (+ eps a))) (/ (/ b (expm1 (* a b))) (expm1 (* eps b)))) |
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 233 | 0 | - | 2 | (1.1710475214695822e-80 2.1732842744430454e-23 1.2044505848485071e-107) | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 132 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
| 106 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
| 105 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 b eps)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 a b) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 (+.f64 a b) eps)) |
| 0 | 0 | - | 0 | - | (*.f64 a eps) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 a eps)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 b eps) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 519.0ms | 354× | 2 | valid |
| 164.0ms | 158× | 1 | valid |
Compiled 233 to 53 computations (77.3% saved)
ival-exp: 329.0ms (69.9% of total)ival-mult: 51.0ms (10.8% of total)backward-pass: 47.0ms (10% of total)ival-sub: 25.0ms (5.3% of total)ival-add: 10.0ms (2.1% of total)ival-div: 7.0ms (1.5% of total)const: 2.0ms (0.4% of total)Compiled 21 to 13 computations (38.1% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.5% | (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a))) |
Compiled 21 to 13 computations (38.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 a b)) |
| ✓ | cost-diff | 0 | (expm1.f64 (*.f64 eps (+.f64 a b))) |
| ✓ | cost-diff | 0 | (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a))) |
| 2234× | *-lowering-*.f32 |
| 2234× | *-lowering-*.f64 |
| 1274× | times-frac |
| 1068× | fma-lowering-fma.f32 |
| 1068× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 68 |
| 1 | 42 | 68 |
| 2 | 69 | 68 |
| 3 | 132 | 68 |
| 4 | 251 | 68 |
| 5 | 509 | 68 |
| 6 | 979 | 68 |
| 7 | 1883 | 68 |
| 8 | 6447 | 68 |
| 9 | 7572 | 68 |
| 0 | 8100 | 68 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) |
(- (exp (* eps (+ a b))) 1) |
(* eps (+ a b)) |
eps |
(+ a b) |
a |
b |
(/ eps (- (exp (* eps b)) 1)) |
(- (exp (* eps b)) 1) |
(* eps b) |
(- (exp (* eps a)) 1) |
(* eps a) |
| Outputs |
|---|
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
(*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) (expm1.f64 (*.f64 eps a)))) |
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) |
(*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) |
(- (exp (* eps (+ a b))) 1) |
(expm1.f64 (*.f64 eps (+.f64 a b))) |
(* eps (+ a b)) |
(*.f64 eps (+.f64 a b)) |
eps |
(+ a b) |
(+.f64 a b) |
a |
b |
(/ eps (- (exp (* eps b)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 eps b))) |
(- (exp (* eps b)) 1) |
(expm1.f64 (*.f64 eps b)) |
(* eps b) |
(*.f64 eps b) |
(- (exp (* eps a)) 1) |
(expm1.f64 (*.f64 eps a)) |
(* eps a) |
(*.f64 eps a) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a))) |
| ✓ | accuracy | 100.0% | (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) |
| ✓ | accuracy | 100.0% | (/.f64 eps (expm1.f64 (*.f64 eps b))) |
| ✓ | accuracy | 99.7% | (expm1.f64 (*.f64 eps a)) |
| 364.0ms | 246× | 5 | exit |
| 4.0ms | 7× | 1 | valid |
| 3.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 72 to 14 computations (80.6% saved)
compiled-spec: 91.0ms (39% of total)ival-exp: 65.0ms (27.8% of total)backward-pass: 43.0ms (18.4% of total)ival-mult: 16.0ms (6.8% of total)ival-sub: 9.0ms (3.9% of total)ival-div: 5.0ms (2.1% of total)ival-add: 4.0ms (1.7% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))> |
#<alt (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (* eps (+ a b))> |
#<alt (- (exp (* eps a)) 1)> |
#<alt (/ eps (- (exp (* eps b)) 1))> |
| Outputs |
|---|
#<alt (/ (+ a b) (* a b))> |
#<alt (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)> |
#<alt (/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)> |
#<alt (/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)> |
#<alt (/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)> |
#<alt (/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (* eps (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b))))> |
#<alt (* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))> |
#<alt (* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt eps> |
#<alt (+ eps (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1)))> |
#<alt (+ eps (* a (+ (* 1/2 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))> |
#<alt (+ eps (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 4) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (- (exp (* a eps)) 1) b)> |
#<alt (/ (- (+ (exp (* a eps)) (* b (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)> |
#<alt (/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)> |
#<alt (/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (+ (* 1/2 (* (pow eps 2) (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 3) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 3) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))> |
#<alt (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))> |
#<alt (* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* b eps)) 1)> |
#<alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)> |
#<alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)> |
#<alt (- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (- b (* -1 a)))) 1)> |
#<alt (- (exp (* eps (- b (* -1 a)))) 1)> |
#<alt (- (exp (* eps (- b (* -1 a)))) 1)> |
#<alt (- (exp (* eps (- b (* -1 a)))) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)> |
#<alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)> |
#<alt (- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (+ a b))) 1)> |
#<alt (- (exp (* eps (- a (* -1 b)))) 1)> |
#<alt (- (exp (* eps (- a (* -1 b)))) 1)> |
#<alt (- (exp (* eps (- a (* -1 b)))) 1)> |
#<alt (- (exp (* eps (- a (* -1 b)))) 1)> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* b eps)> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (* a eps)> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a eps)> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* a eps)> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (* b eps)> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b eps)> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* a eps)> |
#<alt (* eps (+ a (* 1/2 (* (pow a 2) eps))))> |
#<alt (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))> |
#<alt (* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (* a eps)> |
#<alt (* a (+ eps (* 1/2 (* a (pow eps 2)))))> |
#<alt (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))> |
#<alt (* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (/ 1 b)> |
#<alt (+ (* -1/2 eps) (/ 1 b))> |
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))> |
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* b (+ (* -1/4 b) (* 1/6 b)))) (+ (* -1/12 (pow b 2)) (* 1/24 (pow b 2)))))) (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (* -1/2 (* b eps))) b)> |
#<alt (/ (+ 1 (* b (- (* -1 (* b (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)> |
#<alt (/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
#<alt (/ eps (- (exp (* b eps)) 1))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
| 4.0ms | b | @ | 0 | (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) |
| 3.0ms | eps | @ | 0 | (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
| 3.0ms | a | @ | inf | (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
| 2.0ms | b | @ | 0 | (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
| 1× | batch-egg-rewrite |
| 5162× | *-lowering-*.f32 |
| 5162× | *-lowering-*.f64 |
| 4476× | /-lowering-/.f32 |
| 4476× | /-lowering-/.f64 |
| 1970× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 52 |
| 1 | 101 | 52 |
| 2 | 844 | 52 |
| 0 | 8622 | 52 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1)) |
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) |
(- (exp (* eps (+ a b))) 1) |
(* eps (+ a b)) |
(- (exp (* eps a)) 1) |
(/ eps (- (exp (* eps b)) 1)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))) (/.f64 (exp.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b))))) |
(+.f64 (*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) (exp.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) #s(literal -1 binary64)) (*.f64 (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) (exp.f64 (*.f64 eps (+.f64 a b))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a)))) (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (exp.f64 (*.f64 eps a)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) (exp.f64 (*.f64 eps a)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) (exp.f64 (*.f64 eps a))) (*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))))) (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))))) (*.f64 (exp.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a))) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a))) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64)) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 eps a)) (/.f64 (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a))) (*.f64 (expm1.f64 (*.f64 eps a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps a)) (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 eps a)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a)))) (expm1.f64 (*.f64 eps a))) |
(*.f64 (+.f64 (exp.f64 (*.f64 eps (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 eps (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) #s(literal 1 binary64))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 eps b)))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) #s(literal 1 binary64)) (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (exp.f64 (*.f64 eps b)))) |
(+.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (exp.f64 (*.f64 eps b))) (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) #s(literal 1 binary64)) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) (*.f64 (exp.f64 (*.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 eps b)) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) (*.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b)))) |
(/.f64 eps (expm1.f64 (*.f64 eps b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) |
(/.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 eps b)) (-.f64 #s(literal 0 binary64) eps))) |
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps b)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))) (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) |
(/.f64 (*.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)) (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)) (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) (exp.f64 (*.f64 eps b)))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (expm1.f64 (*.f64 eps b))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps b))))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (+.f64 (exp.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))))) |
(/.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (*.f64 eps b)))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 eps b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps b))) eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps b))) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps b)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) eps)) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps b)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps b)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(*.f64 (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 eps b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (*.f64 eps (*.f64 b #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps b)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps b)))))) |
| 1× | egg-herbie |
| 6108× | *-lowering-*.f32 |
| 6108× | *-lowering-*.f64 |
| 2554× | +-lowering-+.f64 |
| 2554× | +-lowering-+.f32 |
| 1826× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 3362 |
| 1 | 1605 | 3132 |
| 2 | 5989 | 3112 |
| 0 | 8482 | 3112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (+ a b)) b) |
(* eps (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b)))) |
(* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))) |
(* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b)))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
eps |
(+ eps (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1))) |
(+ eps (* a (+ (* 1/2 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))))) |
(+ eps (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 4) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1)) |
(/ (- (exp (* a eps)) 1) b) |
(/ (- (+ (exp (* a eps)) (* b (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b) |
(/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b) |
(/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (+ (* 1/2 (* (pow eps 2) (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 3) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 3) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1)) |
(* eps (+ a b)) |
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))) |
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))) |
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3))))))))) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* b eps)) 1) |
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* a eps)) 1) |
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* b eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(* a eps) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
(* a eps) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* a eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(* b eps) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(* b eps) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* a eps) |
(* eps (+ a (* 1/2 (* (pow a 2) eps)))) |
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))) |
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3)))))))) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(* a eps) |
(* a (+ eps (* 1/2 (* a (pow eps 2))))) |
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))) |
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3)))))))) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(/ 1 b) |
(+ (* -1/2 eps) (/ 1 b)) |
(+ (* eps (- (* -1 (* eps (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b)) |
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* b (+ (* -1/4 b) (* 1/6 b)))) (+ (* -1/12 (pow b 2)) (* 1/24 (pow b 2)))))) (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ 1 b) |
(/ (+ 1 (* -1/2 (* b eps))) b) |
(/ (+ 1 (* b (- (* -1 (* b (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
(/ eps (- (exp (* b eps)) 1)) |
| Outputs |
|---|
(/ (+ a b) (* a b)) |
(/.f64 (/.f64 (+.f64 a b) a) b) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (+.f64 a b) #s(literal 1/6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (*.f64 a b))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a b)))))) (/.f64 (+.f64 a b) (*.f64 a (*.f64 a (*.f64 b b))))))) (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 a b) #s(literal 4 binary64))) (*.f64 a b)) (+.f64 (/.f64 (*.f64 (+.f64 a b) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 a (*.f64 a b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 b (pow.f64 a #s(literal 4 binary64))))))) (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a b)))))) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b))))) (*.f64 a b))))) (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (+.f64 a b) #s(literal 1/6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (*.f64 a b))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a b)))))) (/.f64 (+.f64 a b) (*.f64 a (*.f64 a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a b))))) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (+.f64 a b) #s(literal 1/6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (*.f64 a b))) (*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a b)))))) (/.f64 (+.f64 a b) (*.f64 a (*.f64 a (*.f64 b b)))))))) (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 eps (+.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 eps (+.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))) (*.f64 a (+.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 b eps)) (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (+.f64 (/.f64 (exp.f64 (*.f64 b eps)) (expm1.f64 (*.f64 b eps))) #s(literal -1/2 binary64))))))))) a) |
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(/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/12 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/24 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))) (*.f64 eps #s(literal -1/2 binary64))))) b) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
(/ eps (- (exp (* b eps)) 1)) |
(/.f64 eps (expm1.f64 (*.f64 b eps))) |
Compiled 23799 to 2250 computations (90.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 6 | 733 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 728 | 6 | 734 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 (+.f64 a b) a) b) |
| ▶ | 40.4% | (/.f64 (/.f64 (*.f64 (+.f64 a b) eps) b) (expm1.f64 (*.f64 eps a))) |
| 43.6% | (/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 a b) (/.f64 (+.f64 a b) b)) (+.f64 a b))) (/.f64 a b)))) (expm1.f64 (*.f64 eps a))) | |
| ▶ | 46.7% | (/.f64 #s(literal 1 binary64) b) |
| ▶ | 49.8% | (/.f64 #s(literal 1 binary64) a) |
| ▶ | 19.1% | (+.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 244 to 134 computations (45.1% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 a b) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 a b) eps) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (+.f64 a b) eps) b) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 (+.f64 a b) eps) b) (expm1.f64 (*.f64 eps a))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 0 | (+.f64 a b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a b) a) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 a b) a) b) |
| 4920× | *-lowering-*.f32 |
| 4920× | *-lowering-*.f64 |
| 2160× | /-lowering-/.f32 |
| 2160× | /-lowering-/.f64 |
| 1272× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 283 |
| 1 | 97 | 271 |
| 2 | 345 | 235 |
| 3 | 2143 | 225 |
| 0 | 8587 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ a b) a) b) |
(/ (+ a b) a) |
(+ a b) |
a |
b |
(/ 1 a) |
1 |
a |
(/ 1 b) |
1 |
b |
(+ (* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b))) |
(* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) |
eps |
(- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
(* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) |
(/ (+ a b) a) |
(+ a b) |
a |
b |
(/ (* (+ a b) 1/2) b) |
(* (+ a b) 1/2) |
1/2 |
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))) |
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) |
(+ (* a (* b b)) (* a (* a b))) |
(* a (* b b)) |
(* b b) |
(* a (* a b)) |
(* a b) |
(* a (* a (* b b))) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
1 |
(/ 1 b) |
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1)) |
(/ (* (+ a b) eps) b) |
(* (+ a b) eps) |
(+ a b) |
a |
b |
eps |
(- (exp (* eps a)) 1) |
(* eps a) |
| Outputs |
|---|
(/ (/ (+ a b) a) b) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
(/ (+ a b) a) |
(/.f64 (+.f64 a b) a) |
(+ a b) |
(+.f64 a b) |
a |
b |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
1 |
#s(literal 1 binary64) |
b |
(+ (* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (*.f64 eps (*.f64 (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (+.f64 (/.f64 (+.f64 a b) b) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) |
(*.f64 eps (*.f64 (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (+.f64 (/.f64 (+.f64 a b) b) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b))))) |
eps |
(- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
(*.f64 (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (+.f64 (/.f64 (+.f64 a b) b) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a b) b)))) |
(* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) |
(*.f64 (+.f64 a b) (/.f64 (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b) a)) |
(/ (+ a b) a) |
(/.f64 (+.f64 a b) a) |
(+ a b) |
(+.f64 a b) |
a |
b |
(/ (* (+ a b) 1/2) b) |
(/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b) |
(* (+ a b) 1/2) |
(*.f64 (+.f64 a b) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))) |
(*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 a b) a) (/.f64 #s(literal 1 binary64) b))) |
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) |
(*.f64 (+.f64 a b) (*.f64 a (*.f64 b (*.f64 (+.f64 a b) #s(literal 1/2 binary64))))) |
(+ (* a (* b b)) (* a (* a b))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* a (* b b)) |
(*.f64 a (*.f64 b b)) |
(* b b) |
(*.f64 b b) |
(* a (* a b)) |
(*.f64 a (*.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* a (* a (* b b))) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1)) |
(/.f64 (/.f64 (*.f64 (+.f64 a b) eps) b) (expm1.f64 (*.f64 a eps))) |
(/ (* (+ a b) eps) b) |
(/.f64 (*.f64 (+.f64 a b) eps) b) |
(* (+ a b) eps) |
(*.f64 (+.f64 a b) eps) |
(+ a b) |
(+.f64 a b) |
a |
b |
eps |
(- (exp (* eps a)) 1) |
(expm1.f64 (*.f64 a eps)) |
(* eps a) |
(*.f64 a eps) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (expm1.f64 (*.f64 eps a)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 a b) eps) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 (+.f64 a b) eps) b) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (*.f64 (+.f64 a b) eps) b) (expm1.f64 (*.f64 eps a))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a b)) |
| ✓ | accuracy | 78.6% | (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) a) |
| ✓ | accuracy | 100.0% | (+.f64 a b) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 a b) a) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (+.f64 a b) a) b) |
| 544.0ms | 155× | 5 | exit |
| 180.0ms | 98× | 2 | valid |
| 6.0ms | 3× | 3 | valid |
Compiled 324 to 31 computations (90.4% saved)
ival-mult: 105.0ms (30.1% of total)ival-div: 76.0ms (21.8% of total)backward-pass: 76.0ms (21.8% of total)compiled-spec: 30.0ms (8.6% of total)ival-add: 28.0ms (8% of total)ival-exp: 22.0ms (6.3% of total)ival-sub: 11.0ms (3.2% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (/ (+ a b) a) b)> |
#<alt (/ (+ a b) a)> |
#<alt (+ a b)> |
#<alt (/ 1 a)> |
#<alt (/ 1 b)> |
#<alt (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))> |
#<alt (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))> |
#<alt (+ (* a (* b b)) (* a (* a b)))> |
#<alt (+ (* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1))> |
#<alt (/ (* (+ a b) eps) b)> |
#<alt (* (+ a b) eps)> |
#<alt (* a (* a b))> |
#<alt (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b))))> |
#<alt (* a (* a (* b b)))> |
#<alt (- (exp (* eps a)) 1)> |
| Outputs |
|---|
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ b a)> |
#<alt (/ (+ a b) a)> |
#<alt (/ (+ a b) a)> |
#<alt (/ (+ a b) a)> |
#<alt 1> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt 1> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt 1> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt (+ 1 (/ b a))> |
#<alt (/ b a)> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ b a)> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt (* b (+ (/ 1 a) (/ 1 b)))> |
#<alt b> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt a> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt a> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt b> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (* 1/2 (/ b a))> |
#<alt (/ (+ a (* 1/2 b)) a)> |
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)> |
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)> |
#<alt (* 1/2 (/ a b))> |
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))> |
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (/ (+ b (* 1/2 a)) b)> |
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)> |
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)> |
#<alt (* 1/2 (/ b a))> |
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))> |
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))> |
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))> |
#<alt (* 1/2 (/ b a))> |
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))> |
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) b)> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))> |
#<alt (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))> |
#<alt (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))> |
#<alt (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))> |
#<alt (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))> |
#<alt (* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* a (- (/ 1 b) (* 1/2 eps)))) a)> |
#<alt (/ (+ 1 (* a (- (+ (* -1 (* a (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)> |
#<alt (/ (+ 1 (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (* eps (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (+ (* 1/24 (pow eps 3)) (* 1/6 (* (pow eps 2) (- (/ 1 b) (* 1/2 eps)))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)> |
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))> |
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))> |
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))> |
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))> |
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))> |
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))> |
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))> |
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))> |
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)> |
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)> |
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)> |
#<alt (/ eps (- (exp (* a eps)) 1))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (/ eps (- (exp (* a eps)) 1))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))> |
#<alt (/ (+ a b) (* a b))> |
#<alt (+ (* -1/2 (/ (* eps (+ a b)) b)) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* a (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (+ (* -1/12 (/ (* (pow a 2) (+ a b)) b)) (* 1/24 (/ (* (pow a 2) (+ a b)) b)))))) (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))> |
#<alt eps> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (/ (* a eps) b)> |
#<alt (* a (+ (/ eps a) (/ eps b)))> |
#<alt (* a (+ (/ eps a) (/ eps b)))> |
#<alt (* a (+ (/ eps a) (/ eps b)))> |
#<alt (/ (* a eps) b)> |
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))> |
#<alt (/ (* a eps) b)> |
#<alt (/ (+ (* a eps) (* b eps)) b)> |
#<alt (/ (+ (* a eps) (* b eps)) b)> |
#<alt (/ (+ (* a eps) (* b eps)) b)> |
#<alt eps> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt eps> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (+ eps (/ (* a eps) b))> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (/ (* eps (+ a b)) b)> |
#<alt (* b eps)> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (* a eps)> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a (+ eps (/ (* b eps) a)))> |
#<alt (* a eps)> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))> |
#<alt (* a eps)> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (+ (* a eps) (* b eps))> |
#<alt (* b eps)> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b (+ eps (/ (* a eps) b)))> |
#<alt (* b eps)> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* eps (+ a b))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (* a (pow b 3)))> |
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (pow b 2))))> |
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))> |
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))> |
#<alt (* 1/2 (* (pow a 3) b))> |
#<alt (* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a)))> |
#<alt (* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))> |
#<alt (* 1/2 (* (pow a 3) b))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))> |
#<alt (* 1/2 (* (pow a 3) b))> |
#<alt (* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b)))> |
#<alt (* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))> |
#<alt (* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))> |
#<alt (* 1/2 (* a (pow b 3)))> |
#<alt (* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b)))> |
#<alt (* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))> |
#<alt (* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))> |
#<alt (* 1/2 (* a (pow b 3)))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* (pow a 2) (pow b 2))> |
#<alt (* a eps)> |
#<alt (* eps (+ a (* 1/2 (* (pow a 2) eps))))> |
#<alt (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))> |
#<alt (* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (* a eps)> |
#<alt (* a (+ eps (* 1/2 (* a (pow eps 2)))))> |
#<alt (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))> |
#<alt (* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
#<alt (- (exp (* a eps)) 1)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | a | @ | inf | (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
| 8.0ms | b | @ | -inf | (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
| 4.0ms | a | @ | 0 | (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
| 4.0ms | b | @ | inf | (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
| 4.0ms | b | @ | 0 | (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
| 1× | batch-egg-rewrite |
| 3360× | /-lowering-/.f32 |
| 3360× | /-lowering-/.f64 |
| 3092× | *-lowering-*.f32 |
| 3092× | *-lowering-*.f64 |
| 2122× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 176 |
| 1 | 221 | 162 |
| 2 | 2620 | 154 |
| 0 | 8167 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ a b) a) b) |
(/ (+ a b) a) |
(+ a b) |
(/ 1 a) |
(/ 1 b) |
(- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))) |
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))) |
(+ (* a (* b b)) (* a (* a b))) |
(+ (* eps (- (* (/ (+ a b) a) (/ (* (+ a b) 1/2) b)) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b))) |
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1)) |
(/ (* (+ a b) eps) b) |
(* (+ a b) eps) |
(* a (* a b)) |
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) |
(* a (* a (* b b))) |
(- (exp (* eps a)) 1) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (+.f64 a b) (*.f64 a b)) |
(/.f64 (/.f64 (+.f64 a b) a) b) |
(/.f64 (/.f64 (+.f64 a b) a) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (+.f64 a b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (/.f64 #s(literal 1 binary64) b) b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 a (+.f64 a b)) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (+.f64 a b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (+.f64 a b)) (-.f64 #s(literal 0 binary64) b))) |
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(/.f64 (+.f64 a b) a) |
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(+.f64 a b) |
(+.f64 b a) |
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(+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b))) |
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(fma.f64 a (*.f64 b b) (*.f64 a (*.f64 a b))) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) (+.f64 a b))) (+.f64 a b)) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 a b))) |
(*.f64 (*.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (+.f64 a b)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 a b) #s(literal 2 binary64)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 b b)) a) |
(*.f64 (*.f64 a b) (*.f64 a b)) |
(*.f64 (*.f64 a (*.f64 a b)) b) |
(*.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps))) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 eps (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 eps (/.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 eps (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 a eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))) (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 eps (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))) |
| 1× | egg-herbie |
| 6460× | *-lowering-*.f32 |
| 6460× | *-lowering-*.f64 |
| 2370× | +-lowering-+.f64 |
| 2370× | +-lowering-+.f32 |
| 1448× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 333 | 3376 |
| 1 | 1192 | 3039 |
| 2 | 4317 | 2968 |
| 0 | 8704 | 2968 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ b a) |
(/ (+ a b) a) |
(/ (+ a b) a) |
(/ (+ a b) a) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(/ b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(/ b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* 1/2 (/ b a)) |
(/ (+ a (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(* 1/2 (/ a b)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ a b)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ a b)) |
(/ (+ b (* 1/2 a)) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(* 1/2 (/ b a)) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(* 1/2 (/ b a)) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) b) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(+ (/ 1 a) (/ 1 b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps))))) |
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps))))) |
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps))))) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ 1 b) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* -1 (* a (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (* eps (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (+ (* 1/24 (pow eps 3)) (* 1/6 (* (pow eps 2) (- (/ 1 b) (* 1/2 eps)))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a) |
(/ (* a eps) (* b (- (exp (* a eps)) 1))) |
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1))))) |
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1))))) |
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1))))) |
(/ (* a eps) (* b (- (exp (* a eps)) 1))) |
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1))))))) |
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1))))))) |
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1))))))) |
(/ (* a eps) (* b (- (exp (* a eps)) 1))) |
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b) |
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b) |
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b) |
(/ eps (- (exp (* a eps)) 1)) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(/ eps (- (exp (* a eps)) 1)) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1)))) |
(/ (+ a b) (* a b)) |
(+ (* -1/2 (/ (* eps (+ a b)) b)) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (* -1 (* eps (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* a (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (+ (* -1/12 (/ (* (pow a 2) (+ a b)) b)) (* 1/24 (/ (* (pow a 2) (+ a b)) b)))))) (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1))) |
eps |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
(/ (* a eps) b) |
(* a (+ (/ eps a) (/ eps b))) |
(* a (+ (/ eps a) (/ eps b))) |
(* a (+ (/ eps a) (/ eps b))) |
(/ (* a eps) b) |
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b))))) |
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b))))) |
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b))))) |
(/ (* a eps) b) |
(/ (+ (* a eps) (* b eps)) b) |
(/ (+ (* a eps) (* b eps)) b) |
(/ (+ (* a eps) (* b eps)) b) |
eps |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
eps |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
(+ eps (/ (* a eps) b)) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(/ (* eps (+ a b)) b) |
(* b eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(* a eps) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
(* a eps) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* a eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(* b eps) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(* b eps) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (* a (pow b 3))) |
(* a (+ (* 1/2 (pow b 3)) (* a (pow b 2)))) |
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2))))) |
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2))))) |
(* 1/2 (* (pow a 3) b)) |
(* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a))) |
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))) |
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))) |
(* 1/2 (* (pow a 3) b)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b)))) |
(* 1/2 (* (pow a 3) b)) |
(* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b))) |
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2))))) |
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2))))) |
(* 1/2 (* a (pow b 3))) |
(* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b))) |
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)))) |
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)))) |
(* 1/2 (* a (pow b 3))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a)))) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* (pow a 2) (pow b 2)) |
(* a eps) |
(* eps (+ a (* 1/2 (* (pow a 2) eps)))) |
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))) |
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3)))))))) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(* a eps) |
(* a (+ eps (* 1/2 (* a (pow eps 2))))) |
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))) |
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3)))))))) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
| Outputs |
|---|
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (/ a b)) a) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (/ b a)) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ b a) |
(/.f64 b a) |
(/ (+ a b) a) |
(/.f64 (+.f64 a b) a) |
(/ (+ a b) a) |
(/.f64 (+.f64 a b) a) |
(/ (+ a b) a) |
(/.f64 (+.f64 a b) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(+ 1 (/ b a)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
(* b (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
b |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
a |
(* a (+ 1 (/ b a))) |
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)))) |
(* a (+ 1 (/ b a))) |
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)))) |
(* a (+ 1 (/ b a))) |
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64)))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))) |
a |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
b |
(* b (+ 1 (/ a b))) |
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))) |
(* b (+ 1 (/ a b))) |
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))) |
(* b (+ 1 (/ a b))) |
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64)))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b)))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* 1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a) |
(/ (+ a (* 1/2 b)) a) |
(/.f64 (+.f64 a (*.f64 b #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) a) |
(* 1/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal 1/2 binary64)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))) |
(* 1/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal 1/2 binary64)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(*.f64 a (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)) a) (/.f64 #s(literal 1/2 binary64) b))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(*.f64 a (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)) a) (/.f64 #s(literal 1/2 binary64) b))) |
(* 1/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal 1/2 binary64)) |
(/ (+ b (* 1/2 a)) b) |
(/.f64 (+.f64 b (*.f64 a #s(literal 1/2 binary64))) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(/.f64 (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(/.f64 (+.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))) b) |
(* 1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) |
(* 1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(*.f64 b (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(*.f64 b (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(* a (+ (* a b) (pow b 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* a (+ (* a b) (pow b 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* a (+ (* a b) (pow b 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 a a) (+.f64 b (/.f64 (*.f64 b b) a))) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* b (+ (* a b) (pow a 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* b (+ (* a b) (pow a 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* b (+ (* a b) (pow a 2))) |
(*.f64 a (*.f64 b (+.f64 a b))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 b (*.f64 b (+.f64 a (/.f64 (*.f64 a a) b)))) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (*.f64 (+.f64 a b) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) b) a))) (*.f64 b b))))) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (*.f64 (+.f64 a b) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) b) a))) (*.f64 b b))))) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (*.f64 (+.f64 a b) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) b) a))) (*.f64 b b))))) |
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) |
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(+.f64 (*.f64 a eps) (*.f64 b (*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))) |
(* a (+ eps (/ (* b eps) a))) |
(+.f64 (*.f64 a eps) (*.f64 b (*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))) |
(* a eps) |
(*.f64 a eps) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(+.f64 (*.f64 a eps) (*.f64 b (*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(+.f64 (*.f64 a eps) (*.f64 b (*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(+.f64 (*.f64 a eps) (*.f64 b (*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))) |
(* a eps) |
(*.f64 a eps) |
(+ (* a eps) (* b eps)) |
(*.f64 (+.f64 a b) eps) |
(+ (* a eps) (* b eps)) |
(*.f64 (+.f64 a b) eps) |
(+ (* a eps) (* b eps)) |
(*.f64 (+.f64 a b) eps) |
(* b eps) |
(*.f64 b eps) |
(* b (+ eps (/ (* a eps) b))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* b (+ eps (/ (* a eps) b))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* b (+ eps (/ (* a eps) b))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* b eps) |
(*.f64 b eps) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(+.f64 (*.f64 b eps) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a eps) #s(literal 1 binary64)))) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* eps (+ a b)) |
(*.f64 (+.f64 a b) eps) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* (pow a 2) b) |
(*.f64 a (*.f64 a b)) |
(* 1/2 (* a (pow b 3))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) |
(* a (+ (* 1/2 (pow b 3)) (* a (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))) |
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2))))) |
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64))))))) |
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2))))) |
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64))))))) |
(* 1/2 (* (pow a 3) b)) |
(*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a (*.f64 a a))) |
(* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (*.f64 b b) a))) |
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) (+.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))) |
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 1/2 binary64) (+.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))) |
(* 1/2 (* (pow a 3) b)) |
(*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b)))) |
(*.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b)))) |
(*.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* 1/2 (* (pow a 3) b)) |
(*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a (*.f64 a a))) |
(* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b))) |
(*.f64 a (*.f64 a (*.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64)))))) |
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2))))) |
(+.f64 (*.f64 b (*.f64 b (*.f64 a (*.f64 b #s(literal 1/2 binary64))))) (*.f64 a (*.f64 a (*.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64))))))) |
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2))))) |
(+.f64 (*.f64 b (*.f64 b (*.f64 a (*.f64 b #s(literal 1/2 binary64))))) (*.f64 a (*.f64 a (*.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64))))))) |
(* 1/2 (* a (pow b 3))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) |
(* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 a a) b))) |
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (*.f64 a (/.f64 (*.f64 a a) b)) b))))) |
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (*.f64 a (/.f64 (*.f64 a a) b)) b))))) |
(* 1/2 (* a (pow b 3))) |
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a)))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 a a) b))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 a a) (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 a a) (/.f64 (*.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* (pow a 2) (pow b 2)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(* a eps) |
(*.f64 a eps) |
(* eps (+ a (* 1/2 (* (pow a 2) eps)))) |
(*.f64 a (+.f64 eps (*.f64 a (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))) |
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))) |
(*.f64 eps (+.f64 a (*.f64 eps (+.f64 (*.f64 eps (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))) |
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3)))))))) |
(*.f64 eps (+.f64 a (*.f64 eps (+.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 eps (+.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 eps #s(literal 1/24 binary64))) (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/6 binary64))))))))) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(* a eps) |
(*.f64 a eps) |
(* a (+ eps (* 1/2 (* a (pow eps 2))))) |
(*.f64 a (+.f64 eps (*.f64 a (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))) |
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))) |
(*.f64 a (+.f64 eps (*.f64 a (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 a #s(literal 1/6 binary64))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))) |
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3)))))))) |
(*.f64 a (+.f64 eps (*.f64 a (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 a (+.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))))))) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
(- (exp (* a eps)) 1) |
(expm1.f64 (*.f64 a eps)) |
Compiled 51609 to 3376 computations (93.5% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1335 | 3 | 1338 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1338 | 6 | 1344 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 (+.f64 a b) b) a) |
| ✓ | 99.8% | (/.f64 (/.f64 (+.f64 a b) a) b) |
| ▶ | 49.6% | (/.f64 (/.f64 b a) b) |
| ✓ | 46.7% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | 49.8% | (/.f64 #s(literal 1 binary64) a) |
| ▶ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
Compiled 50 to 35 computations (30% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 a b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a b) b) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 a b) b) a) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 b a) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
| 1942× | sum3-define |
| 1858× | fmsub-define |
| 1856× | fnmsub-define |
| 1770× | fmm-def |
| 1592× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 22 | 41 |
| 2 | 34 | 36 |
| 3 | 45 | 36 |
| 4 | 58 | 36 |
| 5 | 96 | 36 |
| 6 | 166 | 36 |
| 7 | 262 | 36 |
| 8 | 419 | 36 |
| 9 | 983 | 36 |
| 10 | 2502 | 36 |
| 11 | 5001 | 36 |
| 12 | 7005 | 36 |
| 0 | 8324 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 b) (/ -1 a)) |
(/ 1 b) |
1 |
b |
(/ -1 a) |
-1 |
a |
(/ (/ b a) b) |
(/ b a) |
b |
a |
(/ (/ (+ a b) b) a) |
(/ (+ a b) b) |
(+ a b) |
a |
b |
| Outputs |
|---|
(- (/ 1 b) (/ -1 a)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
1 |
#s(literal 1 binary64) |
b |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
a |
(/ (/ b a) b) |
(/.f64 #s(literal 1 binary64) a) |
(/ b a) |
(/.f64 b a) |
b |
a |
(/ (/ (+ a b) b) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ a b) b) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ a b) |
(+.f64 b a) |
a |
b |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 a b) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 a b) b) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 a b) b) a) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 b a) b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) a) |
| ✓ | accuracy | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
| 48.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-div: 12.0ms (78.1% of total)ival-sub: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)const: 1.0ms (6.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ 1 b) (/ -1 a))> |
#<alt (/ 1 b)> |
#<alt (/ -1 a)> |
#<alt (/ (/ b a) b)> |
#<alt (/ b a)> |
#<alt (/ (/ (+ a b) b) a)> |
#<alt (/ (+ a b) b)> |
#<alt (+ a b)> |
| Outputs |
|---|
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ (+ 1 (/ a b)) a)> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ (+ 1 (/ b a)) b)> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt (+ (/ 1 a) (/ 1 b))> |
#<alt 1> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt (/ a b)> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ a b)> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (* a (+ (/ 1 a) (/ 1 b)))> |
#<alt (/ a b)> |
#<alt (/ (+ a b) b)> |
#<alt (/ (+ a b) b)> |
#<alt (/ (+ a b) b)> |
#<alt 1> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt 1> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt (+ 1 (/ a b))> |
#<alt b> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt a> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt a> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt b> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | (/ b a) |
| 0.0ms | a | @ | 0 | (/ -1 a) |
| 0.0ms | b | @ | 0 | (/ b a) |
| 0.0ms | a | @ | -inf | (/ b a) |
| 0.0ms | b | @ | -inf | (/ (+ a b) b) |
| 1× | batch-egg-rewrite |
| 3074× | *-lowering-*.f32 |
| 3074× | *-lowering-*.f64 |
| 2856× | /-lowering-/.f32 |
| 2856× | /-lowering-/.f64 |
| 1042× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 83 | 31 |
| 2 | 827 | 28 |
| 0 | 9528 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 b) (/ -1 a)) |
(/ 1 b) |
(/ -1 a) |
(/ (/ b a) b) |
(/ b a) |
(/ (/ (+ a b) b) a) |
(/ (+ a b) b) |
(+ a b) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(+.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal 1 binary64) a)) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))) |
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(-.f64 (/.f64 a (*.f64 b a)) (-.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b a))) (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (*.f64 b a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (*.f64 b a)) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 b a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b (+.f64 b a))) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 a (-.f64 a b)))) (/.f64 (*.f64 b b) (*.f64 b (*.f64 a (-.f64 a b))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(fma.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))) |
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (+.f64 b a)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a b))))) |
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b))) |
(neg.f64 (/.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (*.f64 b a)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (*.f64 b a))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) b)) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (-.f64 a b))) (-.f64 (*.f64 a a) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (/.f64 (+.f64 b a) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 b a) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a b)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b a) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (+.f64 b a))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 b (*.f64 a (-.f64 a b)))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 b a) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(/.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b)) (neg.f64 (*.f64 b (*.f64 a (-.f64 a b))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 b a))) |
(/.f64 (-.f64 (*.f64 a (*.f64 b a)) (*.f64 (*.f64 b a) (-.f64 #s(literal 0 binary64) b))) (*.f64 b (*.f64 a (*.f64 b a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))) |
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(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) a)) |
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(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) b) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) b) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (+.f64 b a)) (-.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (/.f64 (+.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) b) (/.f64 (+.f64 b a) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 b (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (*.f64 (+.f64 b a) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) b) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a)))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) b) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) b) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 b a)) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) b) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (+.f64 b a)))) |
(+.f64 b a) |
(+.f64 a b) |
(+.f64 a (+.f64 b (-.f64 b b))) |
(+.f64 (+.f64 b a) (-.f64 b b)) |
(+.f64 (+.f64 b a) (fma.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (+.f64 b a) (+.f64 (-.f64 b b) (-.f64 b b))) |
(+.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))) |
(+.f64 (-.f64 a #s(literal 0 binary64)) b) |
(-.f64 a (-.f64 #s(literal 0 binary64) b)) |
(-.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 b b))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(fma.f64 #s(literal 1 binary64) a b) |
(fma.f64 b #s(literal 1 binary64) a) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a) b) |
(fma.f64 a #s(literal 1 binary64) b) |
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) |
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) |
(/.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a)) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b))) (-.f64 a b)) |
(/.f64 (neg.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (neg.f64 (-.f64 b a))) |
(/.f64 (+.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b b) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (*.f64 (-.f64 b b) (-.f64 b b)) (*.f64 (+.f64 b a) (-.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 a b)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b b) (-.f64 b b))) (-.f64 (+.f64 b a) (-.f64 b b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b))) (*.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))) (+.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (+.f64 (*.f64 a a) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(/.f64 (*.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (-.f64 b a)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 b a)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))) |
(*.f64 (+.f64 b a) #s(literal 1 binary64)) |
(*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))) |
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))) |
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) |
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))) |
(*.f64 (+.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (-.f64 (*.f64 a a) (*.f64 b b))) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 b a)) |
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a)))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 a a))))) |
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (-.f64 b a)) (*.f64 b (-.f64 b a))))) (-.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 a a) (*.f64 b (+.f64 b a)))) |
| 1× | egg-herbie |
| 1950× | sum3-define |
| 1404× | times-frac |
| 1402× | fmsub-define |
| 1398× | fnmsub-define |
| 1268× | fmm-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 618 |
| 1 | 79 | 618 |
| 2 | 168 | 618 |
| 3 | 505 | 546 |
| 4 | 2585 | 546 |
| 5 | 6080 | 546 |
| 0 | 8027 | 546 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(/ a b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
| Outputs |
|---|
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ a b)) a) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ (+ 1 (/ b a)) b) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(+ (/ 1 a) (/ 1 b)) |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/ a b) |
(/.f64 a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/ a b) |
(/.f64 a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(* a (+ (/ 1 a) (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/ a b) |
(/.f64 a b) |
(/ (+ a b) b) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/ (+ a b) b) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/ (+ a b) b) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
(+ 1 (/ a b)) |
(+.f64 #s(literal 1 binary64) (/.f64 a b)) |
b |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
a |
(* a (+ 1 (/ b a))) |
(+.f64 b a) |
(* a (+ 1 (/ b a))) |
(+.f64 b a) |
(* a (+ 1 (/ b a))) |
(+.f64 b a) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 b a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 b a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 b a) |
a |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
b |
(* b (+ 1 (/ a b))) |
(+.f64 b a) |
(* b (+ 1 (/ a b))) |
(+.f64 b a) |
(* b (+ 1 (/ a b))) |
(+.f64 b a) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 b a) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 b a) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 b a) |
Compiled 14450 to 1252 computations (91.3% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 1 | 835 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 834 | 7 | 841 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 (+.f64 a b) b) a) |
| ✓ | 99.8% | (/.f64 (/.f64 (+.f64 a b) a) b) |
| ✓ | 49.6% | (/.f64 (/.f64 b a) b) |
| ▶ | 46.6% | (/.f64 (/.f64 a b) a) |
| ✓ | 46.7% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | 49.8% | (/.f64 #s(literal 1 binary64) a) |
| ✓ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
Compiled 58 to 40 computations (31% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 a b) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 a b) a) |
| 8× | /-lowering-/.f32 |
| 8× | /-lowering-/.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-inverses |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 6 | 10 |
| 2 | 9 | 8 |
| 3 | 10 | 7 |
| 4 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ a b) a) |
(/ a b) |
a |
b |
| Outputs |
|---|
(/ (/ a b) a) |
(/.f64 #s(literal 1 binary64) b) |
(/ a b) |
(/.f64 a b) |
a |
b |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 a b) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 a b) a) |
| 18.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-div: 4.0ms (86.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ a b) a)> |
#<alt (/ a b)> |
| Outputs |
|---|
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ 1 b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
#<alt (/ a b)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | b | @ | -inf | (/ (/ a b) a) |
| 0.0ms | a | @ | -inf | (/ a b) |
| 0.0ms | a | @ | 0 | (/ a b) |
| 0.0ms | b | @ | -inf | (/ a b) |
| 0.0ms | a | @ | inf | (/ a b) |
| 1× | batch-egg-rewrite |
| 1518× | *-lowering-*.f32 |
| 1518× | *-lowering-*.f64 |
| 1264× | /-lowering-/.f32 |
| 1264× | /-lowering-/.f64 |
| 238× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 20 | 8 |
| 2 | 126 | 5 |
| 3 | 731 | 5 |
| 0 | 3182 | 5 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ a b) a) |
(/ a b) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 b))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))) (*.f64 #s(literal -1 binary64) (log.f64 a)))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 #s(literal -1 binary64) b)) |
(/.f64 a (*.f64 a b)) |
(/.f64 (/.f64 a b) a) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) |
(/.f64 (*.f64 a b) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) b)) |
(/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 a b) (/.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) a)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (/.f64 a b))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))) (*.f64 a a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b))) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a b))) (*.f64 a a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a b))) a) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) (/.f64 (/.f64 a b) (/.f64 b a))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (/.f64 #s(literal -1 binary64) a)) (/.f64 a b)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(pow.f64 b #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 a b))) |
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b a))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) a)) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) a) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (*.f64 (/.f64 a b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b) |
(+.f64 (/.f64 a b) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 a b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 a b)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) (*.f64 #s(literal -1 binary64) (log.f64 a)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b))) |
(/.f64 a b) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(/.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b a)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))) |
(/.f64 (*.f64 a b) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) b) b)) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a a))) |
(/.f64 (*.f64 a a) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 a b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) a) (-.f64 #s(literal 0 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 a b) (/.f64 b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b))) |
(/.f64 (*.f64 a (/.f64 a b)) a) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a b))) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 a b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a)) a) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b)) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 a b) (/.f64 b a)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 3 binary64))) (/.f64 (/.f64 a b) (/.f64 b a))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(/.f64 (*.f64 (/.f64 a b) a) a) |
(/.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -1 binary64) b)) (*.f64 a a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) b)) a) |
(/.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a b))) |
(/.f64 (/.f64 a (/.f64 b a)) a) |
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 a b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 b a) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 b a))) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 a b) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) a) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a b) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 a a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) a)) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) a) (/.f64 #s(literal -1 binary64) (*.f64 a b))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 a (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a b))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 a b))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 a (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 a (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b) |
| 1× | egg-herbie |
| 4× | /-lowering-/.f32 |
| 4× | /-lowering-/.f64 |
| 2× | 1-exp |
| 2× | add-recip |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 120 |
| 1 | 8 | 120 |
| 0 | 8 | 120 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
| Outputs |
|---|
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
(/ a b) |
(/.f64 a b) |
Compiled 2351 to 434 computations (81.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 226 | 1 | 227 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 226 | 8 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 (+.f64 a b) b) a) |
| ✓ | 99.8% | (/.f64 (/.f64 (+.f64 a b) a) b) |
| ✓ | 49.6% | (/.f64 (/.f64 b a) b) |
| ✓ | 46.6% | (/.f64 (/.f64 a b) a) |
| 26.6% | (/.f64 a (*.f64 a b)) | |
| ✓ | 46.7% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | 49.8% | (/.f64 #s(literal 1 binary64) a) |
| ✓ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
Compiled 244 to 111 computations (54.5% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 a (*.f64 a b)) |
(/.f64 (/.f64 a b) a) |
(/.f64 (/.f64 b a) b) |
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (/.f64 (+.f64 a b) a) b) |
(/.f64 (/.f64 (+.f64 a b) b) a) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 a b)))) (*.f64 a (*.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (/.f64 (*.f64 (+.f64 a b) eps) b) (expm1.f64 (*.f64 eps a))) |
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 a b) (/.f64 (+.f64 a b) b)) (+.f64 a b))) (/.f64 a b)))) (expm1.f64 (*.f64 eps a))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a))) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
4 calls:
| 4.0ms | eps |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | eps |
| 99.9% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 a (*.f64 a b)) |
(/.f64 (/.f64 a b) a) |
(/.f64 (/.f64 b a) b) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) b) |
(/.f64 #s(literal 1 binary64) a) |
3 calls:
| 3.0ms | eps |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 2 | a |
| 80.0% | 2 | b |
| 53.8% | 3 | eps |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) a) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) a) |
3 calls:
| 1.0ms | a |
| 1.0ms | eps |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | eps |
| 49.8% | 1 | a |
| 49.8% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 81.0ms | 5.302435377524928e-210 | 2.695530986655768e-209 |
| 71.0ms | 81× | 2 | valid |
| 5.0ms | 15× | 1 | valid |
Compiled 117 to 94 computations (19.7% saved)
ival-exp: 40.0ms (61.6% of total)ival-mult: 13.0ms (20% of total)backward-pass: 5.0ms (7.7% of total)ival-sub: 4.0ms (6.2% of total)ival-add: 2.0ms (3.1% of total)ival-div: 1.0ms (1.5% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 16 | 20 |
| 2 | 23 | 20 |
| 3 | 29 | 20 |
| 4 | 33 | 20 |
| 5 | 35 | 20 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(if (<=.f64 b #s(literal 1226119084536099/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(if (<=.f64 b #s(literal 1226119084536099/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
| 6108× | *-lowering-*.f32 |
| 6108× | *-lowering-*.f64 |
| 3360× | /-lowering-/.f32 |
| 3360× | /-lowering-/.f64 |
| 3092× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 3362 |
| 1 | 1605 | 3132 |
| 2 | 5989 | 3112 |
| 0 | 8482 | 3112 |
| 0 | 17 | 18 |
| 1 | 46 | 18 |
| 2 | 99 | 18 |
| 3 | 179 | 18 |
| 4 | 443 | 18 |
| 5 | 911 | 18 |
| 6 | 1816 | 18 |
| 7 | 5697 | 18 |
| 0 | 8192 | 18 |
| 0 | 31 | 176 |
| 1 | 221 | 162 |
| 2 | 2620 | 154 |
| 0 | 8167 | 154 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 73 to 53 computations (27.4% saved)
(sort a b)
Compiled 140 to 88 computations (37.1% saved)
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