
Time bar (total: 6.8s)
| 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)
| 614.0ms | 8 256× | 0 | valid |
| 247.0ms | 2 879× | 0 | exit |
ival-exp: 232.0ms (49.3% of total)ival-div: 132.0ms (28% of total)ival-add: 90.0ms (19.1% of total)ival-true: 9.0ms (1.9% of total)ival-assert: 5.0ms (1.1% of total)adjust: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 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 | 73 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (exp.f64 b) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 50 to 22 computations (56% saved)
ival-div: 33.0ms (74.9% of total)ival-exp: 8.0ms (18.2% of total)ival-add: 3.0ms (6.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 1 | 44 | 48 |
| 2 | 142 | 48 |
| 3 | 548 | 43 |
| 4 | 3142 | 43 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 17 | 8 |
| 2 | 43 | 8 |
| 3 | 119 | 8 |
| 4 | 581 | 8 |
| 5 | 5801 | 8 |
| 0 | 8514 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 99.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 computations (25% saved)
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 | 17 | 19 |
| 2 | 43 | 19 |
| 3 | 119 | 19 |
| 4 | 581 | 19 |
| 5 | 5801 | 19 |
| 0 | 8514 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.0 | (exp.f64 b) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.4921930021016504 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | 256× | 0 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-exp: 4.0ms (57.4% of total)ival-div: 2.0ms (28.7% of total)ival-add: 1.0ms (14.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 | |
|---|---|---|---|---|
| 12.0ms | 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 | b | @ | -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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 516 |
| 1 | 363 | 504 |
| 2 | 1377 | 475 |
| 3 | 6354 | 467 |
| 0 | 8422 | 434 |
| 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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)))) (/ 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 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) (/.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 (+.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -1/6 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64))))) a))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (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 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.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 | 33 | 17 |
| 2 | 244 | 17 |
| 3 | 3093 | 17 |
| 0 | 8549 | 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 (/.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 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a))) |
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(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 b))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 b))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) |
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))) |
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b)))) |
(fabs.f64 (neg.f64 (exp.f64 b))) |
(fabs.f64 (exp.f64 b)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64))) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(exp.f64 b) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(+.f64 (sinh.f64 b) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
Compiled 10 498 to 1 399 computations (86.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 396 | 3 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 397 | 3 | 400 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.7% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 66.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 78.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
Compiled 54 to 35 computations (35.2% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (neg.f64 (exp.f64 a)) | |
| cost-diff | 0 | (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 133 |
| 0 | 31 | 133 |
| 1 | 51 | 133 |
| 2 | 122 | 133 |
| 3 | 350 | 133 |
| 4 | 1682 | 133 |
| 0 | 9139 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) |
(neg.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#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))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#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 |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) |
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) |
(neg.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#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))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.4921930021016504 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 27.677586121861484 | #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.41015625000000006 | (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) | |
| accuracy | 0.4882867521016504 | (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 20.93666214613882 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 39.0ms | 256× | 0 | valid |
Compiled 102 to 17 computations (83.3% saved)
ival-add: 10.0ms (36.1% of total)ival-div: 6.0ms (21.7% of total)ival-neg: 6.0ms (21.7% of total)ival-exp: 4.0ms (14.4% of total)ival-mult: 2.0ms (7.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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)) |
(exp.f64 b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) |
(neg.f64 (exp.f64 a)) |
(/.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)) |
| 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -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 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -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 (- (* 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) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))))))))) |
-1 |
(- (* -1 a) 1) |
(- (* a (- (* -1/2 a) 1)) 1) |
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1) |
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)))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a))) |
(+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) |
(* -1 (exp a)) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(/ (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 |
(+ 1/2 (* -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)))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* 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)))))) |
(* -1 (/ (* b (exp a)) (+ 1 (exp a)))) |
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (neg (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1)) |
| 3.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (neg (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1)) |
| 2.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (neg (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1)) |
| 2.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (neg (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1)) |
| 2.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (neg (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 1171 |
| 1 | 805 | 1039 |
| 2 | 3143 | 924 |
| 0 | 9136 | 840 |
| 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)))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -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 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -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 (- (* 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) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))))))))) |
-1 |
(- (* -1 a) 1) |
(- (* a (- (* -1/2 a) 1)) 1) |
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1) |
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)))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a))) |
(+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) |
(* -1 (exp a)) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(/ (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 |
(+ 1/2 (* -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)))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* 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)))))) |
(* -1 (/ (* b (exp a)) (+ 1 (exp a)))) |
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a)))))) |
| 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #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)))) |
(* 1/2 (+ 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 (- (* 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 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -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 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) 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) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1 binary64)) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))))))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal -1/6 binary64)) a #s(literal -1/2 binary64)) a (*.f64 #s(literal 1/4 binary64) b))) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 a) 1) |
(-.f64 (neg.f64 a) #s(literal 1 binary64)) |
(- (* a (- (* -1/2 a) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)) |
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #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 #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)) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a))) |
(/.f64 (-.f64 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) |
(-.f64 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* -1 (exp a)) |
(neg.f64 (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)) |
(/ (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)))) |
(/.f64 (-.f64 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (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 (-.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) (/.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 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) 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)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) 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)) |
(+ 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))) |
(+.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))) |
(exp b) |
(exp.f64 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)))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) |
(* -1 (/ (* b (exp a)) (+ 1 (exp a)))) |
(/.f64 (*.f64 b (exp.f64 a)) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) |
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b))) |
(*.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) |
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a)))))) |
(*.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 114 |
| 0 | 31 | 114 |
| 1 | 107 | 114 |
| 2 | 747 | 111 |
| 0 | 8387 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(exp.f64 b) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) |
(neg.f64 (exp.f64 a)) |
(/.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)) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 b)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (exp.f64 b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (cosh.f64 b) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (-.f64 (sinh.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (cosh.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (*.f64 (-.f64 (sinh.f64 b) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) (*.f64 (-.f64 (sinh.f64 b) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (cosh.f64 b)) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (-.f64 (sinh.f64 b) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b))) (*.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (+.f64 #s(literal 1 binary64) (cosh.f64 b))) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (sinh.f64 b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) (*.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) (+.f64 (sinh.f64 b) #s(literal 1 binary64)))) (-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (fma.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (sinh.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) (+.f64 (sinh.f64 b) #s(literal 1 binary64))) (*.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(literal 1 binary64)))))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
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(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
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(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (expm1.f64 a))) |
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(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
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(-.f64 (/.f64 (*.f64 (exp.f64 a) b) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.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))))) |
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(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
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(fma.f64 (exp.f64 a) (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (exp.f64 a)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))) |
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(-.f64 (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (neg.f64 (exp.f64 a))) |
(-.f64 (exp.f64 a) (*.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))) |
(+.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (sinh.f64 a)) (cosh.f64 a)) |
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(+.f64 (sinh.f64 a) (-.f64 (cosh.f64 a) (*.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)))) |
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(+.f64 (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (exp.f64 a)) |
(+.f64 (exp.f64 a) (*.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))) |
(*.f64 #s(literal -1 binary64) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 a) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) |
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(/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
(neg.f64 (exp.f64 a)) |
(+.f64 (sinh.f64 (neg.f64 a)) (neg.f64 (cosh.f64 a))) |
(+.f64 (neg.f64 (cosh.f64 a)) (sinh.f64 (neg.f64 a))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) |
(/.f64 (fma.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (sinh.f64 a))) (*.f64 #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 (neg.f64 (exp.f64 a)) (neg.f64 #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)))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (sinh.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 #s(literal 1 binary64) (exp.f64 a)) |
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(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (*.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(neg.f64 (neg.f64 (exp.f64 a))) |
(fma.f64 (sinh.f64 a) #s(literal 1 binary64) (*.f64 (cosh.f64 a) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 a) (*.f64 #s(literal 1 binary64) (cosh.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))) |
(exp.f64 a) |
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(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 a)) (*.f64 #s(literal 1 binary64) (cosh.f64 a))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 a))) (neg.f64 (sinh.f64 (neg.f64 a)))) |
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(+.f64 (sinh.f64 a) (cosh.f64 a)) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (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 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (+.f64 (sinh.f64 a) #s(literal 1 binary64)) (+.f64 (sinh.f64 a) #s(literal 1 binary64))) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (neg.f64 (expm1.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (expm1.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (+.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 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (*.f64 (expm1.f64 a) (expm1.f64 a))) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (neg.f64 (expm1.f64 a))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (neg.f64 (neg.f64 (expm1.f64 a)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (expm1.f64 a)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(/.f64 (+.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)))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sinh.f64 a)) (cosh.f64 a)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)) |
(+.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (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 (sinh.f64 a) (+.f64 (cosh.f64 a) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
Compiled 23 829 to 2 534 computations (89.4% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 637 | 12 | 649 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 638 | 14 | 652 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.7% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| 68.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) | |
| 68.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| ▶ | 77.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | 78.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| ▶ | 47.4% | #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))))) |
| ▶ | 44.2% | #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))))) |
| ▶ | 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
| 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 33.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 32.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| 32.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| 32.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 35.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
Compiled 784 to 475 computations (39.4% saved)
Found 18 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 | (fma.f64 (fma.f64 #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 #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 #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 #s(literal 1/2 binary64) b #s(literal 1 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 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 2 | (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 258 |
| 0 | 55 | 258 |
| 1 | 78 | 254 |
| 2 | 160 | 254 |
| 3 | 430 | 254 |
| 4 | 1436 | 254 |
| 5 | 7278 | 254 |
| 0 | 8009 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
#s(literal 1 binary64) |
#s(literal -1/2 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 (fma.f64 #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 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 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(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 |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
b |
#s(literal 1 binary64) |
#s(literal -1/2 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 (fma.f64 #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 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 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(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 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (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 | 0.16015625 | (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 13.916701902558337 | #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 | 20.000074612638077 | #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 | 0.0 | (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.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)))) | |
| accuracy | 13.916701902558337 | #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))))) | |
| accuracy | 21.80221493333086 | #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) | |
| accuracy | 0.0 | (+.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 | 13.916701902558337 | #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 | 29.131504268161294 | #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) | |
| accuracy | 27.863192646998446 | #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0.51953125 | (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 71.0ms | 256× | 0 | valid |
Compiled 159 to 28 computations (82.4% saved)
ival-exp: 12.0ms (23.6% of total)ival-mult: 11.0ms (21.6% of total)ival-add: 9.0ms (17.7% of total)ival-pow: 7.0ms (13.7% of total)const: 4.0ms (7.9% of total)ival-div: 3.0ms (5.9% of total)ival-pow2: 3.0ms (5.9% of total)exact: 1.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) #s(literal 1 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 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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))) |
(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 (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)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 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 (* -1/4 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))) |
(/ (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)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2)))) |
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1/2 (* 1/6 b)) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 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))))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* -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 | |
|---|---|---|---|---|
| 7.0ms | b | @ | -inf | ((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (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) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2)) |
| 3.0ms | b | @ | inf | ((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (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) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2)) |
| 1.0ms | b | @ | 0 | ((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (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) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2)) |
| 1.0ms | a | @ | 0 | ((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (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) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2)) |
| 0.0ms | a | @ | inf | ((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (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) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 660 |
| 1 | 548 | 638 |
| 2 | 1850 | 601 |
| 0 | 8336 | 571 |
| 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 (* -1/4 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))) |
(/ (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)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2)))) |
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1/2 (* 1/6 b)) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(+ 1 (exp b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 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))))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* -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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) 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 (* -1/4 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 (-.f64 (*.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 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 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)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 (-.f64 (*.f64 (neg.f64 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)))) |
(+ (* 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 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.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)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2)))) |
(fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) b) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) b (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/96 binary64)) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(-.f64 b #s(literal -2 binary64)) |
(+ 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(sqrt (/ 1 (+ 1 (exp b)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(-.f64 b #s(literal -2 binary64)) |
(* 1/2 (pow b 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))) |
(* 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 (+.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))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(* b (+ 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 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 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 232 |
| 0 | 55 | 228 |
| 1 | 202 | 228 |
| 2 | 1275 | 228 |
| 0 | 8406 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 b) #s(literal 1 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 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 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))) |
(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 (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)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 b)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 b) #s(literal 1/6 binary64)) (*.f64 (neg.f64 b) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (/.f64 #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 1/8 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 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 1/8 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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (*.f64 #s(literal -1/6 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 b) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 b) #s(literal 1/6 binary64)) (*.f64 (neg.f64 b) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (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 3 binary64)) (pow.f64 (/.f64 #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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (*.f64 (/.f64 #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 1/8 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 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 1/8 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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.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 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (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 1/8 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 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 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 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 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 #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 1/6 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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 #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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 1/8 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 (*.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)) |
Compiled 13 936 to 1 968 computations (85.9% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 339 | 10 | 349 |
| Fresh | 2 | 5 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 343 | 20 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.7% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 68.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
| 68.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 14.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (exp.f64 (log.f64 (expm1.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 34.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) | |
| ✓ | 78.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| ✓ | 47.4% | #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))))) |
| ▶ | 39.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))))) |
| 38.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b)))))) | |
| ✓ | 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
| 17.9% | #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))))) | |
| ▶ | 14.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
| 14.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))) | |
| 41.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) | |
| 32.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 32.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 33.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| ▶ | 32.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| ✓ | 35.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
Compiled 1 182 to 731 computations (38.2% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))))) | |
| cost-diff | 1 | (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)) | |
| cost-diff | 1 | (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) | |
| cost-diff | 1 | (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (exp a) 1) (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))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 606 |
| 0 | 93 | 601 |
| 1 | 162 | 585 |
| 2 | 456 | 585 |
| 3 | 1683 | 585 |
| 4 | 5754 | 585 |
| 0 | 8166 | 569 |
| 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) (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))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
#s(approx (+ (exp a) 1) (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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
#s(literal -1/480 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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) |
#s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) |
#s(literal 4 binary64) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) |
(neg.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)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.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) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
#s(approx (+ (exp a) 1) (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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) |
#s(literal -1/480 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) #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 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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) #s(approx (+ (exp b) 1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) #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))))) |
#s(literal 1 binary64) |
#s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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 b) 1) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) #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 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) #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 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) b) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) b #s(literal -1 binary64)) b) |
(neg.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)) |
(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) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) 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)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))))) | |
| accuracy | 20.000074612638077 | #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))) | |
| accuracy | 22.722214537376253 | (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) | |
| accuracy | 0.25 | (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) | |
| accuracy | 0.28426945516077573 | (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| accuracy | 29.19873710479852 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) | |
| accuracy | 21.80221493333086 | #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) | |
| accuracy | 33.23224368081588 | #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 13.916701902558337 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| accuracy | 29.002863918820655 | #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) | |
| accuracy | 0.4921930021016504 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) | |
| accuracy | 22.366886222906064 | #s(approx (+ (exp a) 1) (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))) | |
| accuracy | 27.677586121861484 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
| 113.0ms | 256× | 0 | valid |
Compiled 366 to 53 computations (85.5% saved)
ival-mult: 23.0ms (26.9% of total)ival-add: 18.0ms (21.1% of total)ival-div: 15.0ms (17.6% of total)const: 10.0ms (11.7% of total)ival-pow: 7.0ms (8.2% of total)ival-exp: 4.0ms (4.7% of total)ival-sub: 3.0ms (3.5% of total)ival-pow2: 3.0ms (3.5% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)adjust: 0.0ms (0% 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) (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))))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
#s(approx (+ (exp a) 1) (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))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) |
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))))) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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 b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))) |
(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)))) |
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 |
(+ 1/2 (* 1/6 a)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(/ (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 (* -1/4 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)))))) |
-1/4 |
(- (* 1/48 (pow b 2)) 1/4) |
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) |
4 |
(+ 4 (* -1 (pow b 2))) |
(+ 4 (* (pow b 2) (- (* -1 b) 1))) |
(+ 4 (* (pow b 2) (- (* b (- (* -7/12 b) 1)) 1))) |
-1 |
(- (* -1/2 b) 1) |
(- (* b (- (* -1/6 b) 1/2)) 1) |
(+ 2 (* -1 b)) |
(+ 2 (* b (- (* -1/2 b) 1))) |
(+ 2 (* b (- (* b (- (* -1/6 b) 1/2)) 1))) |
1/48 |
(+ 1/48 (* -1/480 (pow b 2))) |
(* 1/48 b) |
(* b (+ 1/48 (* -1/480 (pow b 2)))) |
(+ 1/2 (* 1/6 b)) |
(* -1/4 b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* -1/480 (pow b 5)) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* -1/480 (pow b 4)) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* -1/36 (pow b 6)) |
(* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b))))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 b))) b)) 1/36)) |
(* (pow b 6) (- (* -1 (/ (+ 7/12 (/ 1 b)) (pow b 2))) (+ 1/36 (* 1/6 (/ 1 b))))) |
(* -1/6 (pow b 2)) |
(* -1 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))) |
(* (pow b 2) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)) |
(* -1/6 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))) |
(* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)) |
(* (pow b 3) (- (* 2 (/ 1 (pow b 3))) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(* -1/480 (pow b 2)) |
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* -1/480 (pow b 3)) |
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* 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 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 b)) (/ 1 (pow b 2)))) b)) 1/36)) |
(* -1 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 b))) b)) 1/2) b))))) |
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (* (+ (* -1/480 (* b b)) 1/48) b) (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ (exp b) 1) (+ (* 1/6 b) 1/2)) |
| 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))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (* (+ (* -1/480 (* b b)) 1/48) b) (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ (exp b) 1) (+ (* 1/6 b) 1/2)) |
| 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))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (* (+ (* -1/480 (* b b)) 1/48) b) (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ (exp b) 1) (+ (* 1/6 b) 1/2)) |
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (* (+ (* -1/480 (* b b)) 1/48) b) (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ (exp b) 1) (+ (* 1/6 b) 1/2)) |
| 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))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (* (+ (* -1/480 (* b b)) 1/48) b) (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ (exp b) 1) (+ (* 1/6 b) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 1215 |
| 1 | 863 | 1192 |
| 2 | 2989 | 1139 |
| 0 | 8902 | 1084 |
| 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 |
(+ 1/2 (* 1/6 a)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/6 a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(/ (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 (* -1/4 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)))))) |
-1/4 |
(- (* 1/48 (pow b 2)) 1/4) |
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) |
4 |
(+ 4 (* -1 (pow b 2))) |
(+ 4 (* (pow b 2) (- (* -1 b) 1))) |
(+ 4 (* (pow b 2) (- (* b (- (* -7/12 b) 1)) 1))) |
-1 |
(- (* -1/2 b) 1) |
(- (* b (- (* -1/6 b) 1/2)) 1) |
(+ 2 (* -1 b)) |
(+ 2 (* b (- (* -1/2 b) 1))) |
(+ 2 (* b (- (* b (- (* -1/6 b) 1/2)) 1))) |
1/48 |
(+ 1/48 (* -1/480 (pow b 2))) |
(* 1/48 b) |
(* b (+ 1/48 (* -1/480 (pow b 2)))) |
(+ 1/2 (* 1/6 b)) |
(* -1/4 b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* -1/480 (pow b 5)) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* -1/480 (pow b 4)) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(* -1/36 (pow b 6)) |
(* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b))))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 b))) b)) 1/36)) |
(* (pow b 6) (- (* -1 (/ (+ 7/12 (/ 1 b)) (pow b 2))) (+ 1/36 (* 1/6 (/ 1 b))))) |
(* -1/6 (pow b 2)) |
(* -1 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))) |
(* (pow b 2) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)) |
(* -1/6 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))) |
(* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)) |
(* (pow b 3) (- (* 2 (/ 1 (pow b 3))) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(* -1/480 (pow b 2)) |
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* -1/480 (pow b 3)) |
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* 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 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 b)) (/ 1 (pow b 2)))) b)) 1/36)) |
(* -1 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 b))) b)) 1/2) b))))) |
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 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))) |
| 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) 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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 a)) |
(fma.f64 #s(literal 1/6 binary64) a #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)) |
(* 1/6 a) |
(*.f64 #s(literal 1/6 binary64) a) |
(* a (+ 1/6 (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) a #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)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 (-.f64 (*.f64 (neg.f64 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)))) |
(+ (* 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 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.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)))) |
(+ 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 (* -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 (-.f64 (*.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 (*.f64 #s(literal 1/48 binary64) b) b (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) #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)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow b 2)) 1/4) |
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) |
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) |
(fma.f64 (*.f64 #s(literal 1/48 binary64) b) b (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) #s(literal 1/4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -1 (pow b 2))) |
(fma.f64 (neg.f64 b) b #s(literal 4 binary64)) |
(+ 4 (* (pow b 2) (- (* -1 b) 1))) |
(fma.f64 (-.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(+ 4 (* (pow b 2) (- (* b (- (* -7/12 b) 1)) 1))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -7/12 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 b) 1) |
(-.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) |
(- (* b (- (* -1/6 b) 1/2)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) |
(+ 2 (* -1 b)) |
(-.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (- (* -1/2 b) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (- (* b (- (* -1/6 b) 1/2)) 1))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b #s(literal 2 binary64)) |
1/48 |
#s(literal 1/48 binary64) |
(+ 1/48 (* -1/480 (pow b 2))) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(* 1/48 b) |
(*.f64 #s(literal 1/48 binary64) b) |
(* b (+ 1/48 (* -1/480 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(* -1/4 b) |
(*.f64 #s(literal -1/4 binary64) b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) |
(* 1/2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 binary64))) |
(* -1/480 (pow b 5)) |
(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))) |
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(* -1/480 (pow b 4)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))) |
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* -1/36 (pow b 6)) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/36 binary64)) |
(* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) b) #s(literal -1/36 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 b))) b)) 1/36)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 7/12 binary64) b) #s(literal -1 binary64) #s(literal -1/6 binary64)) b) #s(literal 1/36 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (* -1 (/ (+ 7/12 (/ 1 b)) (pow b 2))) (+ 1/36 (* 1/6 (/ 1 b))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -7/12 binary64)) b) #s(literal -1/6 binary64)) b) #s(literal 1/36 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(* -1/6 (pow b 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) b) b) |
(* -1 (* (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 (/ (+ 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)) (*.f64 b b)) |
(* -1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b)) |
(* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64))) |
(* (pow b 3) (- (* 2 (/ 1 (pow b 3))) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) #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))) |
(* -1/480 (pow b 2)) |
(*.f64 #s(literal -1/480 binary64) (*.f64 b b)) |
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) b) b) |
(* -1/480 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/480 binary64)) |
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))) |
(* 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(*.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))) |
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) #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 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 b b)) #s(literal -1 binary64) #s(literal -1/480 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow b 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 b)) (/ 1 (pow b 2)))) b)) 1/36)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -7/12 binary64)) b) #s(literal -1/6 binary64)) b) #s(literal 1/36 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(* -1 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))) |
(*.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) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 b))) b)) 1/2) b))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 b b)) #s(literal -1 binary64) #s(literal -1/480 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #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 | 60 | 463 |
| 0 | 93 | 419 |
| 1 | 373 | 373 |
| 2 | 2657 | 373 |
| 0 | 8105 | 369 |
| 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) (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))))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
#s(approx (+ (exp a) 1) (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))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) |
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))))) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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 b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.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) (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)))))))) |
(/.f64 (fma.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) (*.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) (sinh.f64 a))) (*.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))) |
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(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (+.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)) #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)) (neg.f64 b) #s(literal 2 binary64))) (/.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 4 binary64)) (+.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)) #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)) (neg.f64 b) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 (fma.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)) #s(literal 4 binary64) (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 4 binary64))) #s(literal 16 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b) #s(literal 2 binary64))) (/.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 6 binary64)) (+.f64 (fma.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)) #s(literal 4 binary64) (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 4 binary64))) #s(literal 16 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b) #s(literal 2 binary64)))) |
(-.f64 (/.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 (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)) (neg.f64 (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 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b))) |
(+.f64 (/.f64 #s(literal 16 binary64) (*.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)) #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)) (neg.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.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))) (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 (+.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)) #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)) (neg.f64 b) #s(literal 2 binary64))))) |
(+.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 #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)) (*.f64 (*.f64 b b) (neg.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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b) #s(literal 2 binary64)))) |
(+.f64 (/.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 (neg.f64 (*.f64 b (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 2 binary64)))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b) #s(literal 2 binary64)))) |
(+.f64 (/.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 (neg.f64 (pow.f64 (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 b b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (neg.f64 b) #s(literal 2 binary64)))) |
(+.f64 (/.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 (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 2 binary64) (*.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 b) 1) (+.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 (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 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.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)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.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 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (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 1/8 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 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 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 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (-.f64 (*.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))))) |
(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)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 #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 (/.f64 #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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (/.f64 #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 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 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 1/8 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 (*.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)) |
Compiled 33 349 to 3 603 computations (89.2% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 12 | 573 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 566 | 27 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.7% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ✓ | 68.6% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
| 68.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 35.5% | (/.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) (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))))) | |
| 42.8% | (/.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) (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))))) | |
| 59.2% | (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) | |
| 58.9% | (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) | |
| 34.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) | |
| ✓ | 78.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| ✓ | 47.4% | #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))))) |
| 54.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b)))))) | |
| 20.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) | |
| ✓ | 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) |
| 17.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) | |
| 17.9% | #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))))) | |
| ✓ | 14.5% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
| 14.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))) | |
| 41.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 binary64))))))) | |
| 32.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ✓ | 32.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 4.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) | |
| 33.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| 33.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) | |
| ✓ | 32.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 32.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) | |
| 18.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) | |
| ✓ | 35.3% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
Compiled 2 168 to 861 computations (60.3% 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 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))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (exp.f64 (log.f64 (expm1.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 14.0ms | b |
| 12.0ms | a |
| 10.0ms | (exp.f64 a) |
| 10.0ms | (exp.f64 b) |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (exp.f64 b) |
| 99.2% | 1 | (exp.f64 a) |
| 99.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.2% | 1 | a |
| 99.2% | 1 | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 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))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
5 calls:
| 27.0ms | (exp.f64 b) |
| 11.0ms | a |
| 10.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | b |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (exp.f64 b) |
| 99.4% | 2 | (exp.f64 a) |
| 84.3% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.4% | 2 | a |
| 99.3% | 3 | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
2 calls:
| 11.0ms | a |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | (exp.f64 a) |
| 99.3% | 2 | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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)))) |
| 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:
| 37.0ms | a |
| 18.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (exp.f64 a) |
| 99.1% | 2 | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b)))))) |
5 calls:
| 11.0ms | b |
| 10.0ms | (exp.f64 a) |
| 8.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 8.0ms | a |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 78.0% | 2 | (exp.f64 b) |
| 79.8% | 2 | b |
| 77.3% | 2 | (exp.f64 a) |
| 77.4% | 2 | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal -1/2 binary64)) (*.f64 b b))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.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 2 binary64) (*.f64 (neg.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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (- (* (* (+ (* -1/480 (* b b)) 1/48) b) b) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b)))))) |
4 calls:
| 11.0ms | a |
| 11.0ms | b |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 2 | (exp.f64 a) |
| 73.9% | 3 | a |
| 72.1% | 2 | (exp.f64 b) |
| 73.2% | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
(/.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) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) b) b)) b #s(literal 1 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) (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))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#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:
| 9.0ms | b |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | a |
| 5.0ms | (exp.f64 b) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 2 | (exp.f64 a) |
| 59.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 64.7% | 2 | (exp.f64 b) |
| 68.5% | 3 | a |
| 67.5% | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #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)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) |
#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))))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 2 | b |
Compiled 1 to 2 computations (-100% 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))) |
#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))))) |
| Outputs |
|---|
#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))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
5 calls:
| 7.0ms | b |
| 4.0ms | a |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (exp.f64 b) |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 47.4% | 1 | (exp.f64 a) |
| 50.4% | 2 | (exp.f64 b) |
| 47.4% | 1 | a |
| 50.4% | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) 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) #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) #s(approx (/ (- 4 (* (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b) (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 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))))) |
3 calls:
| 4.0ms | b |
| 4.0ms | (exp.f64 b) |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 2 | (exp.f64 b) |
| 49.9% | 2 | b |
| 49.7% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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) (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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #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))) |
5 calls:
| 4.0ms | b |
| 4.0ms | a |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 1 | (exp.f64 a) |
| 44.2% | 1 | a |
| 46.9% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 46.9% | 2 | (exp.f64 b) |
| 46.9% | 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
3 calls:
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | b |
| 2.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 2 | (exp.f64 b) |
| 46.5% | 2 | b |
| 46.3% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))) |
2 calls:
| 3.0ms | b |
| 2.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 2 | (exp.f64 b) |
| 46.5% | 2 | b |
Compiled 3 to 5 computations (-66.7% saved)
Total -20.9b remaining (-50.4%)
Threshold costs -20.9b (-50.4%)
| 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 (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (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)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (-.f64 (*.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 (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 (-.f64 (*.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:
| 12.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | (exp.f64 a) |
| 35.3% | 1 | a |
| 35.3% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 35.3% | 1 | (exp.f64 b) |
| 35.3% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -4.9895006964534783e-11 | -5.259564552417994e-16 |
| 7.0ms | 144× | 0 | valid |
Compiled 263 to 218 computations (17.1% saved)
ival-exp: 2.0ms (48.7% of total)ival-div: 1.0ms (24.3% of total)ival-add: 1.0ms (24.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.9895006964534783e-11 | -5.259564552417994e-16 |
Compiled 362 to 290 computations (19.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.9895006964534783e-11 | -5.259564552417994e-16 |
Compiled 281 to 236 computations (16% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.344347465788086e+38 | 5.401374628042837e+39 |
| 5.0ms | 96× | 0 | valid |
Compiled 449 to 305 computations (32.1% saved)
ival-div: 1.0ms (39.1% of total)ival-exp: 1.0ms (39.1% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.424963593007428e+21 | 7.43654762811291e+24 |
| 7.0ms | 128× | 0 | valid |
Compiled 699 to 459 computations (34.3% saved)
ival-exp: 2.0ms (60.2% of total)ival-div: 1.0ms (30.1% of total)ival-add: 1.0ms (30.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.3162785076092343e+92 | 6.788464604059306e+103 |
| 9.0ms | 160× | 0 | valid |
Compiled 671 to 491 computations (26.8% saved)
ival-div: 2.0ms (38% of total)ival-exp: 2.0ms (38% of total)ival-add: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.3162785076092343e+92 | 6.788464604059306e+103 |
Compiled 651 to 481 computations (26.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5025961603443765 | 0.9995471341011261 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.5561777458260322 | 3668272919.3411865 |
| 9.0ms | 144× | 0 | valid |
Compiled 506 to 380 computations (24.9% saved)
ival-exp: 3.0ms (69.9% of total)ival-div: 1.0ms (23.3% of total)ival-add: 1.0ms (23.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5025961603443765 | 0.9995471341011261 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.540250151232514e-6 | 1.5561777458260322 |
| 7.0ms | 144× | 0 | valid |
Compiled 452 to 335 computations (25.9% saved)
ival-exp: 2.0ms (47% of total)ival-div: 1.0ms (23.5% of total)ival-add: 1.0ms (23.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.5561777458260322 | 3668272919.3411865 |
| 2.0ms | 32× | 0 | valid |
Compiled 443 to 335 computations (24.4% saved)
ival-exp: 1.0ms (103.8% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 706 |
| 1 | 163 | 702 |
| 2 | 287 | 702 |
| 3 | 686 | 702 |
| 4 | 1808 | 702 |
| 5 | 5845 | 702 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 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 5400000000000000067330389781411646144512 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 7399999999999999983222784 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #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 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5404319552844595/9007199254740992 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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5404319552844595/9007199254740992 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)))) |
(if (<=.f64 b #s(literal 5/4 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))) |
(if (<=.f64 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))) |
#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))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -3791191370311477/77371252455336267181195264 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 5400000000000000067330389781411646144512 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 5400000000000000067330389781411646144512 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) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 7399999999999999983222784 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 7399999999999999983222784 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))) #s(approx (+ 2 (* (neg (+ (* (+ (* 1/6 b) 1/2) b) 1)) b)) (-.f64 #s(literal 2 binary64) b))))))) |
(if (<=.f64 b #s(literal 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #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 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5404319552844595/9007199254740992 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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5404319552844595/9007199254740992 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)))) |
(if (<=.f64 b #s(literal 5/4 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))) |
(if (<=.f64 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))) |
#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 | 120 | 516 |
| 1 | 363 | 504 |
| 2 | 1377 | 475 |
| 3 | 6354 | 467 |
| 0 | 8422 | 434 |
| 0 | 184 | 660 |
| 1 | 548 | 638 |
| 2 | 1850 | 601 |
| 0 | 8336 | 571 |
| 0 | 35 | 232 |
| 0 | 55 | 228 |
| 1 | 202 | 228 |
| 2 | 1275 | 228 |
| 0 | 8406 | 228 |
| 0 | 251 | 1171 |
| 1 | 805 | 1039 |
| 2 | 3143 | 924 |
| 0 | 9136 | 840 |
| 0 | 290 | 1215 |
| 1 | 863 | 1192 |
| 2 | 2989 | 1139 |
| 0 | 8902 | 1084 |
| 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 704 to 121 computations (82.8% saved)
Compiled 1 440 to 268 computations (81.4% saved)
Loading profile data...