
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 6 |
| 95.2% | 93.7% | 4.7% | 0.1% | 0% | 1.6% | 0% | 7 |
| 96% | 93.7% | 3.9% | 0.1% | 0% | 2.3% | 0% | 8 |
| 97.2% | 93.7% | 2.7% | 0.1% | 0% | 3.5% | 0% | 9 |
| 97.8% | 93.7% | 2.1% | 0.1% | 0% | 4.1% | 0% | 10 |
| 98.5% | 93.7% | 1.5% | 0.1% | 0% | 4.8% | 0% | 11 |
| 98.8% | 93.7% | 1.1% | 0.1% | 0% | 5.1% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 505.0ms | 8 256× | 0 | valid |
| 408.0ms | 2 982× | 0 | exit |
ival-exp: 213.0ms (53.3% of total)ival-add: 98.0ms (24.5% of total)ival-div: 75.0ms (18.8% of total)ival-true: 9.0ms (2.3% of total)ival-assert: 5.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 0 | - | 0 | - | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (exp.f64 a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) | o/o | 2 | 0 |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 88 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (exp.f64 b) | overflow | 87 | |
/.f64 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) | u/u | 1 | 0 |
| ↳ | (exp.f64 a) | underflow | 68 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 1 | |
| ↳ | (exp.f64 a) | underflow | 68 | |
| ↳ | (exp.f64 b) | underflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 0 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 0 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-exp: 8.0ms (56% of total)ival-div: 3.0ms (21% of total)ival-add: 3.0ms (21% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 1 | 40 | 48 |
| 2 | 75 | 48 |
| 3 | 144 | 48 |
| 4 | 259 | 43 |
| 5 | 468 | 43 |
| 6 | 645 | 43 |
| 7 | 900 | 43 |
| 8 | 1236 | 43 |
| 9 | 1468 | 43 |
| 10 | 1644 | 42 |
| 11 | 1827 | 42 |
| 12 | 1933 | 42 |
| 13 | 2099 | 42 |
| 14 | 2178 | 42 |
| 15 | 2208 | 42 |
| 16 | 2216 | 42 |
| 17 | 2218 | 42 |
| 18 | 2218 | 42 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 11 | 8 |
| 0 | 11 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 11 | 19 |
| 0 | 11 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.7499999989924532 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 14.0ms | 256× | 0 | valid |
Compiled 40 to 14 computations (65% saved)
ival-exp: 4.0ms (56.7% of total)ival-div: 2.0ms (28.4% of total)ival-add: 1.0ms (14.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 516 |
| 1 | 332 | 501 |
| 2 | 963 | 484 |
| 3 | 3682 | 453 |
| 0 | 8319 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 32 | 17 |
| 2 | 203 | 17 |
| 3 | 1936 | 17 |
| 0 | 8631 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) |
(*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))) (*.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))) (*.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (exp.f64 a)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b)))) (*.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)))) (*.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(exp.f64 b) |
Compiled 10 662 to 1 194 computations (88.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 7 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 355 | 7 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.3% | (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 65.2% | (/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) | |
| ▶ | 61.6% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| ▶ | 62.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| 35.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))) | |
| ▶ | 82.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| ▶ | 61.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
Compiled 264 to 168 computations (36.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| cost-diff | 6592 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| cost-diff | 0 | (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) | |
| cost-diff | 13312 | (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
Useful iterations: 15 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 214 |
| 0 | 51 | 214 |
| 1 | 66 | 212 |
| 2 | 81 | 212 |
| 3 | 109 | 212 |
| 4 | 156 | 210 |
| 5 | 275 | 210 |
| 6 | 622 | 210 |
| 7 | 1087 | 210 |
| 8 | 1651 | 210 |
| 9 | 2321 | 206 |
| 10 | 2931 | 206 |
| 11 | 3392 | 206 |
| 12 | 3757 | 206 |
| 13 | 3996 | 206 |
| 14 | 4146 | 206 |
| 15 | 4359 | 202 |
| 16 | 5013 | 202 |
| 17 | 5616 | 202 |
| 18 | 6208 | 202 |
| 19 | 6577 | 202 |
| 20 | 7159 | 202 |
| 0 | 8373 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
| Outputs |
|---|
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
(-.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
(+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) b) |
(-.f64 b #s(literal -1 binary64)) |
#s(literal 1 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 0.5000055021016504 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 24.656733867344972 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| accuracy | 0.5039076250216392 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 24.840541449742926 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.5039076250216392 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 23.460510432104595 | #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 0.36452372525123217 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| accuracy | 0.3125 | (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.44531525105082526 | (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
| 57.0ms | 188× | 0 | valid |
| 14.0ms | 68× | 0 | exit |
Compiled 384 to 57 computations (85.2% saved)
ival-exp: 21.0ms (42.4% of total)ival-div: 8.0ms (16.1% of total)ival-add: 8.0ms (16.1% of total)ival-pow: 6.0ms (12.1% of total)ival-pow2: 3.0ms (6.1% of total)ival-mult: 1.0ms (2% of total)ival-sub: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| Outputs |
|---|
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* -1 (* a (exp b))))) |
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b)))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b)))))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))))) (sqrt (+ 1 (exp b)))))))))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(/ (+ (exp a) (exp b)) (exp a)) |
(sqrt (/ (exp a) (+ (exp a) (exp b)))) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ 1 (exp a)) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (+ 1 (exp a)) (exp a)) |
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a)))) |
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(sqrt (/ (exp a) (+ 1 (exp a)))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | 0 | ((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1))) |
| 6.0ms | b | @ | -inf | ((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1))) |
| 5.0ms | a | @ | inf | ((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1))) |
| 4.0ms | b | @ | 0 | ((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1))) |
| 3.0ms | a | @ | -inf | ((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 1920 |
| 1 | 1138 | 1745 |
| 2 | 3930 | 1612 |
| 3 | 7722 | 1610 |
| 0 | 8061 | 1487 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (exp b)) |
(+ 1 (+ (exp b) (* -1 (* a (exp b))))) |
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b)))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b)))))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))))) (sqrt (+ 1 (exp b)))))))))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(/ (+ (exp a) (exp b)) (exp a)) |
(sqrt (/ (exp a) (+ (exp a) (exp b)))) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ 1 (exp a)) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (+ 1 (exp a)) (exp a)) |
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a)))) |
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(sqrt (/ (exp a) (+ 1 (exp a)))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
| Outputs |
|---|
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ (exp b) (* -1 (* a (exp b))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) a) (exp.f64 b)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 b) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b)))) a) (exp.f64 b)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b)))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b)))))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))))) (sqrt (+ 1 (exp b)))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) a (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64)))))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64))))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(+ 1 (* -1/2 b)) |
(fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a) a (*.f64 #s(literal 1/4 binary64) b)) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))) |
(* -1/2 b) |
(*.f64 #s(literal -1/2 binary64) b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(*.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(*.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a) a (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal -1/2 binary64) b)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 a)) |
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) |
(/ (+ (exp a) (exp b)) (exp a)) |
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
(sqrt (/ (exp a) (+ (exp a) (exp b)))) |
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp a) |
(exp.f64 a) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (+ 1 (exp a)) (exp a)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) |
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 b (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) |
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))) |
(+.f64 (fma.f64 (fma.f64 (/.f64 b (exp.f64 a)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (exp.f64 (neg.f64 a))) b (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) |
(sqrt (/ (exp a) (+ 1 (exp a)))) |
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) b (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a)))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a))))) b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(exp b) |
(exp.f64 b) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 180 |
| 0 | 51 | 178 |
| 1 | 207 | 176 |
| 2 | 1445 | 176 |
| 0 | 8354 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
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(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) |
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a)) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) #s(literal -1 binary64))) |
Compiled 25 853 to 3 324 computations (87.1% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 929 | 11 | 940 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 934 | 13 | 947 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 62.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| 48.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) | |
| ✓ | 82.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 48.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b)))))) | |
| ▶ | 58.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| 52.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 35.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| 34.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ▶ | 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| ▶ | 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
Compiled 614 to 411 computations (33.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| cost-diff | 192 | (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| cost-diff | 896 | (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp a) 1) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 332 |
| 0 | 69 | 325 |
| 1 | 108 | 325 |
| 2 | 181 | 304 |
| 3 | 431 | 304 |
| 4 | 853 | 304 |
| 5 | 1625 | 304 |
| 6 | 4333 | 304 |
| 7 | 6864 | 304 |
| 0 | 8064 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) |
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
b |
#s(literal 1/4 binary64) |
(*.f64 #s(literal -1/8 binary64) b) |
a |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/48 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64)) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) |
#s(literal 1/4 binary64) |
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
b |
#s(literal 1/4 binary64) |
(*.f64 #s(literal -1/8 binary64) b) |
a |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 11.262471918318502 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| accuracy | 15.891757665146745 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal -1/8 binary64) b) | |
| accuracy | 18.137642227962065 | #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| accuracy | 24.414266918131826 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| accuracy | 29.306593067407174 | (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) | |
| accuracy | 11.262471918318502 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| accuracy | 31.014192143374085 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 11.262471918318502 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| accuracy | 30.664404679488225 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.7499999989924532 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| accuracy | 15.789931979688022 | #s(approx (+ (exp a) 1) #s(literal 2 binary64)) | |
| accuracy | 29.405770873957355 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
| 81.0ms | 115× | 1 | valid |
| 70.0ms | 140× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 535 to 91 computations (83% saved)
ival-mult: 35.0ms (36% of total)ival-add: 23.0ms (23.7% of total)const: 10.0ms (10.3% of total)adjust: 10.0ms (10.3% of total)ival-div: 9.0ms (9.3% of total)ival-exp: 6.0ms (6.2% of total)ival-sub: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(*.f64 #s(literal -1/8 binary64) b) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/4 a) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1/2 |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow b 2)) 1/4) |
1/4 |
(+ 1/2 (* 1/4 a)) |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* -1/8 b) |
(+ 1/2 (* 1/6 b)) |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(* -1/4 b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* 1/48 (pow b 3)) |
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))) |
(* 1/48 (pow b 2)) |
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 3.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 3.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 2.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 1212 |
| 1 | 878 | 1135 |
| 2 | 2865 | 977 |
| 0 | 8528 | 901 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/4 a) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1/2 |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
-1/4 |
(- (* 1/48 (pow b 2)) 1/4) |
1/4 |
(+ 1/2 (* 1/4 a)) |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* -1/8 b) |
(+ 1/2 (* 1/6 b)) |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(* -1/4 b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* 1/48 (pow b 3)) |
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))) |
(* 1/48 (pow b 2)) |
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b))))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(* 1/4 a) |
(*.f64 #s(literal 1/4 binary64) a) |
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/4 binary64)) a) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4))) |
(*.f64 (neg.f64 a) (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow b 2)) 1/4) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/2 (* 1/4 a)) |
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(* -1/8 b) |
(*.f64 #s(literal -1/8 binary64) b) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(+ 1 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(* -1/4 b) |
(*.f64 #s(literal -1/4 binary64) b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(* 1/48 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)) |
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* 1/48 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/48 binary64)) |
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b) |
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 a b) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) b)) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* 1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(* 1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48))) |
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b)) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b))) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64))) b) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 301 |
| 0 | 69 | 301 |
| 1 | 303 | 301 |
| 2 | 2376 | 301 |
| 0 | 8100 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(*.f64 #s(literal -1/8 binary64) b) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 #s(literal -1/8 binary64) b))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 #s(literal -1/8 binary64) b)))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal -2 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/8 binary64) b) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(*.f64 b #s(literal -1/8 binary64)) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) |
Compiled 22 254 to 2 260 computations (89.8% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 16 | 464 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 450 | 27 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ✓ | 62.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| 35.9% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 36.0% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 36.1% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 48.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) | |
| ✓ | 82.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 48.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b)))))) | |
| ✓ | 58.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| ▶ | 58.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| 39.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| ▶ | 58.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| 57.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 52.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| ▶ | 57.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
| ▶ | 35.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
| 26.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) | |
| 26.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) | |
| 34.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ✓ | 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ✓ | 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 14.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) | |
| 3.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) | |
| ▶ | 36.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
| 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 36.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) | |
| 3.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
Compiled 1 414 to 966 computations (31.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 501 |
| 0 | 70 | 513 |
| 1 | 103 | 503 |
| 2 | 154 | 489 |
| 3 | 365 | 489 |
| 4 | 694 | 489 |
| 5 | 1163 | 489 |
| 6 | 1256 | 489 |
| 0 | 1256 | 479 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 b b) |
#s(literal -1/4 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 b b) |
b |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) |
(fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 b b) |
#s(literal -1/4 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) |
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) b) b) |
(*.f64 b b) |
b |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) |
(fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 b b) |
b |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) | |
| accuracy | 11.02029446005616 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| accuracy | 15.478712893112286 | (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) | |
| accuracy | 15.730107255327408 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) | |
| accuracy | 11.02029446005616 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) | |
| accuracy | 15.730107255327408 | #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) | |
| accuracy | 31.298975476160454 | #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 2 binary64) b) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) | |
| accuracy | 11.02029446005616 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| accuracy | 30.34474714558701 | #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) | |
| accuracy | 11.02029446005616 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) | |
| accuracy | 29.588666733590088 | #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) | |
| accuracy | 0.16015625 | (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) | |
| accuracy | 11.02029446005616 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| accuracy | 15.474157732248063 | (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) | |
| accuracy | 15.730107255327408 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
| 111.0ms | 254× | 0 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 795 to 90 computations (88.7% saved)
ival-exp: 43.0ms (47.2% of total)ival-mult: 15.0ms (16.4% of total)ival-add: 13.0ms (14.3% of total)const: 10.0ms (11% of total)ival-div: 8.0ms (8.8% of total)adjust: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) |
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 2 (* -2/3 b)) |
(+ 2 (* b (- (* 2/9 b) 2/3))) |
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) |
-1/2 |
(- (* 1/6 b) 1/2) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(* 1/6 (pow b 2)) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(/ 6 b) |
(/ (- 6 (* 18 (/ 1 b))) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b) |
(* b (- 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(* -1 (/ (- (* 18 (/ 1 b)) 6) b)) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b)) |
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | ((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))) |
| 2.0ms | b | @ | inf | ((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))) |
| 2.0ms | b | @ | -inf | ((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))) |
| 2.0ms | b | @ | 0 | ((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))) |
| 2.0ms | a | @ | -inf | ((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 700 |
| 1 | 595 | 679 |
| 2 | 1658 | 653 |
| 3 | 5879 | 647 |
| 0 | 8188 | 603 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 2 (* -2/3 b)) |
(+ 2 (* b (- (* 2/9 b) 2/3))) |
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) |
-1/2 |
(- (* 1/6 b) 1/2) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(* 1/6 (pow b 2)) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* 1/6 (pow b 3)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(/ 6 b) |
(/ (- 6 (* 18 (/ 1 b))) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b) |
(* b (- 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(* -1 (/ (- (* 18 (/ 1 b)) 6) b)) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b)) |
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (neg.f64 (fma.f64 b (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1/2 (* -1/4 b)) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* -2/3 b)) |
(fma.f64 #s(literal -2/3 binary64) b #s(literal 2 binary64)) |
(+ 2 (* b (- (* 2/9 b) 2/3))) |
(fma.f64 (fma.f64 #s(literal 2/9 binary64) b #s(literal -2/3 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) b #s(literal 2/9 binary64)) b #s(literal -2/3 binary64)) b #s(literal 2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 b) 1/2) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1/2 (* 1/6 b)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(* 1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 #s(literal 2 binary64) b) |
(* 1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(/ 6 b) |
(/.f64 #s(literal 6 binary64) b) |
(/ (- 6 (* 18 (/ 1 b))) b) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b) |
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 6 binary64))) b) |
(* b (- 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (/ (- (* 18 (/ 1 b)) 6) b)) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (-.f64 (/.f64 #s(literal 162 binary64) b) #s(literal 54 binary64)) b)) b) #s(literal -6 binary64)) b) |
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 405 |
| 0 | 70 | 397 |
| 1 | 296 | 334 |
| 2 | 1866 | 334 |
| 0 | 8200 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) |
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) |
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (pow.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64))) (neg.f64 (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) (neg.f64 (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(fma.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))) |
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) |
Compiled 24 489 to 3 657 computations (85.1% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 6 | 549 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 549 | 27 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ✓ | 62.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| 35.9% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 36.0% | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 36.1% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 48.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) | |
| ✓ | 82.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 48.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b)))))) | |
| ✓ | 58.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| 60.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 60.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 57.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 57.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| 52.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) | |
| ✓ | 57.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
| ✓ | 35.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
| 26.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) | |
| 26.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) | |
| 34.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ✓ | 34.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ✓ | 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 14.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) | |
| 3.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) | |
| ✓ | 36.4% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
| 34.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 36.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) | |
| 3.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
Compiled 2 003 to 838 computations (58.2% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 11.0ms | a |
| 11.0ms | b |
| 10.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | (exp.f64 b) |
| 9.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | a |
| 98.8% | 1 | b |
| 98.8% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.8% | 1 | (exp.f64 a) |
| 98.8% | 1 | (exp.f64 b) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b)))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
5 calls:
| 33.0ms | a |
| 26.0ms | (exp.f64 a) |
| 10.0ms | b |
| 8.0ms | (exp.f64 b) |
| 8.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | a |
| 99.7% | 3 | b |
| 82.4% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.7% | 2 | (exp.f64 a) |
| 99.3% | 3 | (exp.f64 b) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
2 calls:
| 10.0ms | a |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
| 99.4% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
5 calls:
| 21.0ms | (exp.f64 a) |
| 16.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | a |
| 9.0ms | b |
| 7.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 79.2% | 2 | (exp.f64 b) |
| 79.9% | 2 | b |
| 78.4% | 2 | a |
| 78.4% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
4 calls:
| 36.0ms | (exp.f64 a) |
| 9.0ms | a |
| 8.0ms | b |
| 7.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | (exp.f64 a) |
| 65.5% | 2 | a |
| 62.5% | 2 | (exp.f64 b) |
| 62.5% | 2 | b |
Compiled 6 to 10 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
4 calls:
| 8.0ms | a |
| 8.0ms | b |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | b |
| 62.1% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.2% | 1 | (exp.f64 a) |
| 60.2% | 1 | a |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
5 calls:
| 31.0ms | (exp.f64 b) |
| 7.0ms | b |
| 7.0ms | a |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 1 | a |
| 58.1% | 1 | (exp.f64 a) |
| 60.4% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.4% | 2 | (exp.f64 b) |
| 60.4% | 2 | b |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
3 calls:
| 30.0ms | (exp.f64 b) |
| 6.0ms | b |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.1% | 2 | (exp.f64 b) |
| 60.1% | 2 | b |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
3 calls:
| 28.0ms | b |
| 5.0ms | (exp.f64 b) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 59.7% | 2 | (exp.f64 b) |
| 59.7% | 2 | b |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))) |
5 calls:
| 27.0ms | (exp.f64 a) |
| 5.0ms | a |
| 5.0ms | b |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | (exp.f64 b) |
| 54.2% | 2 | a |
| 54.2% | 2 | (exp.f64 a) |
| 59.7% | 2 | b |
| 59.6% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
3 calls:
| 4.0ms | b |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 54.8% | 2 | b |
| 54.8% | 2 | (exp.f64 b) |
Compiled 11 to 11 computations (0% saved)
Total -22.0b remaining (-54%)
Threshold costs -22b (-54%)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
5 calls:
| 7.0ms | b |
| 3.0ms | a |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | a |
| 36.4% | 1 | (exp.f64 a) |
| 36.4% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 36.4% | 1 | (exp.f64 b) |
| 36.4% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.8021575602114015e-5 | 0.9998927659778585 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2157089906341048e-165 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 7.008810334831636e+64 | 1.599069044116684e+68 |
| 6.0ms | 128× | 0 | valid |
Compiled 419 to 331 computations (21% saved)
ival-exp: 2.0ms (59.2% of total)ival-div: 1.0ms (29.6% of total)ival-add: 1.0ms (29.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -7.904778824014281e+85 | -4.1848807453708696e+83 |
| 6.0ms | 112× | 0 | valid |
| 1.0ms | 16× | 0 | exit |
Compiled 494 to 375 computations (24.1% saved)
ival-exp: 2.0ms (58.9% of total)ival-div: 1.0ms (29.4% of total)ival-add: 1.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | -1860279704903607.8 | -1093.0229778560551 |
| 8.0ms | 160× | 0 | valid |
| 0.0ms | 2× | 0 | exit |
Compiled 541 to 411 computations (24% saved)
ival-exp: 3.0ms (60.6% of total)ival-div: 1.0ms (20.2% of total)ival-add: 1.0ms (20.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | -1860279704903607.8 | -1093.0229778560551 |
Compiled 441 to 331 computations (24.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -1860279704903607.8 | -1093.0229778560551 |
Compiled 491 to 371 computations (24.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.49474540406289697 | 0.49999941633686606 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.021019157578274716 | 8.954678908867143 |
| 7.0ms | 128× | 0 | valid |
Compiled 451 to 339 computations (24.8% saved)
ival-exp: 2.0ms (50.5% of total)ival-div: 1.0ms (25.2% of total)ival-add: 1.0ms (25.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1860279704903607.8 | -1093.0229778560551 |
Compiled 411 to 311 computations (24.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 572 |
| 1 | 144 | 572 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 b #s(literal 156000000000000002694616658147935851415004380184368267205433221971968 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -13499999999999999162252433595526217802882200994619025432594899801234267643011867344896 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))) |
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(if (<=.f64 b #s(literal 156000000000000002694616658147935851415004380184368267205433221971968 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -13499999999999999162252433595526217802882200994619025432594899801234267643011867344896 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))) |
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))) |
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 700 |
| 1 | 595 | 679 |
| 2 | 1658 | 653 |
| 3 | 5879 | 647 |
| 0 | 8188 | 603 |
| 0 | 365 | 1920 |
| 1 | 1138 | 1745 |
| 2 | 3930 | 1612 |
| 3 | 7722 | 1610 |
| 0 | 8061 | 1487 |
| 0 | 47 | 301 |
| 0 | 69 | 301 |
| 1 | 303 | 301 |
| 2 | 2376 | 301 |
| 0 | 8100 | 297 |
| 0 | 289 | 1212 |
| 1 | 878 | 1135 |
| 2 | 2865 | 977 |
| 0 | 8528 | 901 |
| 0 | 120 | 516 |
| 1 | 332 | 501 |
| 2 | 963 | 484 |
| 3 | 3682 | 453 |
| 0 | 8319 | 416 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 945 to 489 computations (48.3% saved)
Compiled 1 176 to 308 computations (73.8% saved)
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