
Time bar (total: 5.4s)
| 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)
| 426.0ms | 8 256× | 0 | valid |
| 191.0ms | 2 957× | 0 | exit |
ival-exp: 183.0ms (51.7% of total)ival-div: 95.0ms (26.8% of total)ival-add: 62.0ms (17.5% of total)ival-true: 9.0ms (2.5% of total)ival-assert: 5.0ms (1.4% 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))) | u/u | 2 | 0 |
| ↳ | (exp.f64 a) | underflow | 77 | |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 77 | |
| ↳ | (exp.f64 b) | underflow | 33 |
| 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 |
| 32.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-exp: 12.0ms (64.3% of total)ival-div: 3.0ms (16.1% of total)ival-add: 3.0ms (16.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 1 | 40 | 48 |
| 2 | 75 | 48 |
| 3 | 144 | 48 |
| 4 | 261 | 43 |
| 5 | 465 | 43 |
| 6 | 663 | 43 |
| 7 | 923 | 43 |
| 8 | 1275 | 43 |
| 9 | 1516 | 43 |
| 10 | 1692 | 42 |
| 11 | 1875 | 42 |
| 12 | 1977 | 42 |
| 13 | 2123 | 42 |
| 14 | 2207 | 42 |
| 15 | 2239 | 42 |
| 16 | 2249 | 42 |
| 17 | 2251 | 42 |
| 18 | 2251 | 42 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 11 | 8 |
| 0 | 11 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 11 | 19 |
| 0 | 11 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | 256× | 0 | valid |
Compiled 40 to 14 computations (65% saved)
ival-exp: 4.0ms (56.7% of total)ival-div: 2.0ms (28.3% of total)ival-add: 1.0ms (14.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 516 |
| 1 | 332 | 501 |
| 2 | 973 | 484 |
| 3 | 3759 | 453 |
| 0 | 8455 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 32 | 17 |
| 2 | 203 | 17 |
| 3 | 1947 | 17 |
| 0 | 8681 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp.f64 a) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(exp.f64 b) |
Compiled 10 662 to 1 194 computations (88.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 8 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 354 | 8 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.5% | (/.f64 (exp.f64 a) (/.f64 (-.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)))) |
| ▶ | 69.4% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| ▶ | 99.2% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
| 70.5% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| 99.2% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a))) | |
| 99.2% | (exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a)) | |
| ▶ | 79.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| ▶ | 69.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
Compiled 246 to 178 computations (27.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (/.f64 (-.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)))) | |
| cost-diff | 26624 | (/.f64 (-.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))) | |
| cost-diff | 0 | (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 263 |
| 0 | 61 | 263 |
| 1 | 90 | 263 |
| 2 | 145 | 263 |
| 3 | 287 | 245 |
| 4 | 588 | 243 |
| 5 | 1663 | 243 |
| 6 | 7437 | 243 |
| 0 | 8187 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) (/.f64 (-.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)))) |
(exp.f64 a) |
a |
(/.f64 (-.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 b) #s(literal 2 binary64)) |
(exp.f64 b) |
b |
#s(literal 2 binary64) |
(pow.f64 (exp.f64 a) #s(literal 2 binary64)) |
(-.f64 (exp.f64 b) (exp.f64 a)) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))) |
(exp.f64 a) |
a |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
b |
(-.f64 #s(literal -1 binary64) (exp.f64 a)) |
#s(literal -1 binary64) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(/.f64 (exp.f64 a) (/.f64 (-.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 a) |
a |
(/.f64 (-.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 (exp.f64 b) (exp.f64 a)) |
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 b) #s(literal 2 binary64)) |
(exp.f64 b) |
b |
#s(literal 2 binary64) |
(pow.f64 (exp.f64 a) #s(literal 2 binary64)) |
(-.f64 (exp.f64 b) (exp.f64 a)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) (/.f64 (-.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)))) | |
| accuracy | 0.9101534979416279 | (/.f64 (-.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))) | |
| accuracy | 21.581490427583454 | (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) | |
| accuracy | 21.60312941823882 | (-.f64 (exp.f64 b) (exp.f64 a)) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) | |
| accuracy | 7.978242561494903 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 8.903803532651896 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.0078125 | (+.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 | 13.004792509891272 | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) | |
| accuracy | 12.507932102220892 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 52.0ms | 75× | 1 | valid |
| 21.0ms | 75× | 0 | exit |
| 19.0ms | 92× | 0 | valid |
| 12.0ms | 14× | 2 | valid |
Compiled 473 to 67 computations (85.8% saved)
ival-div: 13.0ms (20% of total)ival-exp: 12.0ms (18.5% of total)ival-pow2: 11.0ms (16.9% of total)ival-add: 11.0ms (16.9% of total)adjust: 6.0ms (9.2% of total)ival-sub: 6.0ms (9.2% of total)ival-mult: 5.0ms (7.7% of total)exact: 1.0ms (1.5% 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 (-.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 (exp.f64 a) (/.f64 (-.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(-.f64 (exp.f64 b) (exp.f64 a)) |
| 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))))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
(/ (- (pow (exp b) 2) 1) (- (exp b) 1)) |
(- (+ (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(/ (- (exp b) 1) (- (pow (exp b) 2) 1)) |
(- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (pow (exp b) 2) 1) |
(- (+ (* -2 a) (pow (exp b) 2)) 1) |
(- (+ (* a (- (* -2 a) 2)) (pow (exp b) 2)) 1) |
(- (+ (* a (- (* a (- (* -4/3 a) 2)) 2)) (pow (exp b) 2)) 1) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(- (exp b) 1) |
(- (+ (exp b) (* -1 a)) 1) |
(- (+ (exp b) (* a (- (* -1/2 a) 1))) 1) |
(- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) |
(/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2))) |
(- (pow (exp b) 2) (pow (exp a) 2)) |
(/ (exp a) (+ 1 (exp a))) |
(- (exp b) (exp a)) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) 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))))))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 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 |
(+ 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 (pow (exp a) 2)) (- 1 (exp a))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))) |
(+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(- 1 (pow (exp a) 2)) |
(- (+ 1 (* 2 b)) (pow (exp a) 2)) |
(- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2)) |
(- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2)) |
(- 1 (exp a)) |
(- (+ 1 b) (exp a)) |
(- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a)) |
(- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a)) |
(exp b) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (- (pow (exp b) 2) (pow (exp a) 2)) (/ (exp a) (+ (exp a) 1)) (- (exp b) (exp a))) |
| 8.0ms | b | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (- (pow (exp b) 2) (pow (exp a) 2)) (/ (exp a) (+ (exp a) 1)) (- (exp b) (exp a))) |
| 7.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (- (pow (exp b) 2) (pow (exp a) 2)) (/ (exp a) (+ (exp a) 1)) (- (exp b) (exp a))) |
| 6.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (- (pow (exp b) 2) (pow (exp a) 2)) (/ (exp a) (+ (exp a) 1)) (- (exp b) (exp a))) |
| 5.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (- (pow (exp b) 2) (pow (exp a) 2)) (/ (exp a) (+ (exp a) 1)) (- (exp b) (exp a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 521 | 3050 |
| 1 | 1566 | 2930 |
| 2 | 5184 | 2746 |
| 0 | 8333 | 2357 |
| 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))))))) |
(* 1/2 (+ 1 (* -1/2 b))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) |
(+ 1 (* -1/2 b)) |
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b)))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))) |
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* a b))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))) |
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))) |
(/ (- (pow (exp b) 2) 1) (- (exp b) 1)) |
(- (+ (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (pow (exp b) 2) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (pow (exp b) 2) (- (exp b) 1))) (/ 1 (- (exp b) 1))) |
(/ (- (exp b) 1) (- (pow (exp b) 2) 1)) |
(- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1)))))) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 7/6 (/ 1 (- (pow (exp b) 2) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1))))) (- (pow (exp b) 2) 1))) (* 3/2 (/ 1 (- (pow (exp b) 2) 1))))))) (/ (exp b) (- (pow (exp b) 2) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
(- (pow (exp b) 2) 1) |
(- (+ (* -2 a) (pow (exp b) 2)) 1) |
(- (+ (* a (- (* -2 a) 2)) (pow (exp b) 2)) 1) |
(- (+ (* a (- (* a (- (* -4/3 a) 2)) 2)) (pow (exp b) 2)) 1) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(- (exp b) 1) |
(- (+ (exp b) (* -1 a)) 1) |
(- (+ (exp b) (* a (- (* -1/2 a) 1))) 1) |
(- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) |
(+ 1 (* -1 (/ b (+ 1 (exp a))))) |
(* -1 (/ b (+ 1 (exp a)))) |
(/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a))) |
(/ (* (exp a) (- (exp b) (exp a))) (- (pow (exp b) 2) (pow (exp a) 2))) |
(- (pow (exp b) 2) (pow (exp a) 2)) |
(/ (exp a) (+ 1 (exp a))) |
(- (exp b) (exp a)) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) 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))))))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 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 |
(+ 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 (pow (exp a) 2)) (- 1 (exp a))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (pow (exp a) 2)) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 3)))))) (/ (pow (exp a) 2) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (pow (exp a) 2) (- 1 (exp a)))) |
(/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2))) |
(+ (* b (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(- 1 (pow (exp a) 2)) |
(- (+ 1 (* 2 b)) (pow (exp a) 2)) |
(- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2)) |
(- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2)) |
(- 1 (exp a)) |
(- (+ 1 b) (exp a)) |
(- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a)) |
(- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a)) |
(exp b) |
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
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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)) |
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(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)) |
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
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(* 1/2 (+ 1 (* -1/2 b))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
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(/ (- (pow (exp b) 2) 1) (- (exp b) 1)) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b)) |
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(/ (- (exp b) 1) (- (pow (exp b) 2) 1)) |
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) |
(- (+ (* a (- (/ (exp b) (- (pow (exp b) 2) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (pow (exp b) 2) 1) 2))) (* 2 (/ 1 (- (pow (exp b) 2) 1)))))) (/ (exp b) (- (pow (exp b) 2) 1))) (/ 1 (- (pow (exp b) 2) 1))) |
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(- (pow (exp b) 2) 1) |
(expm1.f64 (*.f64 #s(literal 2 binary64) b)) |
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(fma.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) b (fma.f64 (*.f64 #s(literal -2 binary64) (exp.f64 a)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (* b (- (* 1/6 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (pow (exp a) 2)))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2)))))) (- 1 (pow (exp a) 2)))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))) (* 2 (/ (- (/ (exp a) (- 1 (pow (exp a) 2))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2)))) (- 1 (pow (exp a) 2))))))) (/ (exp a) (- 1 (pow (exp a) 2)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (pow (exp a) 2)) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (pow (exp a) 2)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (fma.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64))))) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4/3 binary64)))) b (fma.f64 (fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) b (fma.f64 (*.f64 #s(literal -2 binary64) (exp.f64 a)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(- 1 (pow (exp a) 2)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(- (+ 1 (* 2 b)) (pow (exp a) 2)) |
(fma.f64 #s(literal 2 binary64) b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(- (+ 1 (* b (+ 2 (* 2 b)))) (pow (exp a) 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (pow (exp a) 2)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(- 1 (exp a)) |
(-.f64 #s(literal 1 binary64) (exp.f64 a)) |
(- (+ 1 b) (exp a)) |
(+.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a)) |
(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 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) |
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) |
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.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 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) |
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 210 |
| 0 | 61 | 210 |
| 1 | 266 | 190 |
| 2 | 2064 | 190 |
| 0 | 8508 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) |
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 (-.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 (exp.f64 a) (/.f64 (-.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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(-.f64 (exp.f64 b) (exp.f64 a)) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64)) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))))) |
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(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (neg.f64 (exp.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.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 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 b) (neg.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))) |
(/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 b)) #s(literal 1 binary64)) (neg.f64 (exp.f64 a))) |
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (neg.f64 (exp.f64 a))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 a) (exp.f64 b)) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (neg.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (neg.f64 (exp.f64 a))) |
(fma.f64 (exp.f64 a) #s(literal -1 binary64) (exp.f64 b)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (neg.f64 (exp.f64 a))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) |
(+.f64 (exp.f64 b) (neg.f64 (exp.f64 a))) |
Compiled 36 361 to 4 125 computations (88.7% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 091 | 15 | 1 106 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 097 | 17 | 1 114 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (/.f64 (exp.f64 a) (+.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| 68.8% | (/.f64 (exp.f64 a) (+.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 b) (+.f64 #s(literal 1 binary64) b)))) | |
| ▶ | 68.0% | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| ▶ | 70.5% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 75.4% | (/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
| 49.6% | #s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) | |
| ✓ | 79.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 59.9% | #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))))) | |
| ▶ | 53.2% | #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))))) |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| 40.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 2 binary64)))) | |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 38.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| 37.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ▶ | 38.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 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))))) |
Compiled 803 to 545 computations (32.1% saved)
| 1× | egg-herbie |
Found 19 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 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| 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 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 260 |
| 0 | 63 | 260 |
| 1 | 83 | 260 |
| 2 | 104 | 260 |
| 3 | 174 | 260 |
| 4 | 244 | 260 |
| 5 | 250 | 260 |
| 6 | 253 | 260 |
| 0 | 253 | 260 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
b |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #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))) |
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #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 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 2 binary64) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
(+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) b) |
(+.f64 b #s(literal 1 binary64)) |
b |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 26.119726925914396 | #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| accuracy | 0.5078097479416279 | (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 19.926803004082952 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 26.62918810301375 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| 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 | 13.004792509891272 | #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 | 17.545339861356773 | #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 | (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 13.004792509891272 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) | |
| accuracy | 26.883217826559456 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 b) #s(literal 1 binary64)) | |
| accuracy | 0.5078097479416279 | (/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) | |
| accuracy | 12.507932102220892 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| accuracy | 19.595942546260254 | #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
| 46.0ms | 256× | 0 | valid |
Compiled 417 to 65 computations (84.4% saved)
ival-add: 13.0ms (43% of total)ival-mult: 9.0ms (29.8% of total)ival-exp: 4.0ms (13.2% of total)ival-div: 3.0ms (9.9% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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)) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp a) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) 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 (* 1/2 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) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 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 (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (* 1/2 b)) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 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))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(exp b) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp a) (exp b)) (+ (exp b) 1) (+ (* 1/2 b) 1) (exp b)) |
| 1.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp a) (exp b)) (+ (exp b) 1) (+ (* 1/2 b) 1) (exp b)) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp a) (exp b)) (+ (exp b) 1) (+ (* 1/2 b) 1) (exp b)) |
| 1.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp a) (exp b)) (+ (exp b) 1) (+ (* 1/2 b) 1) (exp b)) |
| 1.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp a) (exp b)) (+ (exp b) 1) (+ (* 1/2 b) 1) (exp b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 692 |
| 1 | 465 | 673 |
| 2 | 1294 | 652 |
| 3 | 5802 | 633 |
| 0 | 8098 | 568 |
| 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 (* 1/2 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) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 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 (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (* 1/2 b)) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 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))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(exp b) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
| 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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (+.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (* 1/2 a)) |
(fma.f64 #s(literal 1/2 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) |
(exp.f64 a) |
(* 1/2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(+ (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 (fma.f64 #s(literal -1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.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 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 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 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #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)) |
(* -1/4 b) |
(*.f64 #s(literal -1/4 binary64) b) |
(* b (- (* 1/2 (/ 1 b)) 1/4)) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
(* 1/2 (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))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b (/.f64 #s(literal 2 binary64) b)) b) |
(* 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)) |
(exp b) |
(exp.f64 b) |
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 227 |
| 0 | 63 | 227 |
| 1 | 244 | 227 |
| 2 | 1682 | 227 |
| 0 | 8345 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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)) |
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(exp.f64 a) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp a) #s(literal 1 binary64)) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
| Outputs |
|---|
(*.f64 (*.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(literal 1 binary64)) (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.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(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) |
(*.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 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))) (pow.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.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(literal 1 binary64))) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))))) |
(/.f64 (*.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(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (neg.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 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(literal 1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) |
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(*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (*.f64 (expm1.f64 b) #s(literal 1 binary64))) (pow.f64 (expm1.f64 b) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 b)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (neg.f64 (expm1.f64 b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (expm1.f64 b))) |
(/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 b #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 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)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (expm1.f64 b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #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 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
Compiled 15 475 to 1 985 computations (87.2% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 9 | 482 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 476 | 23 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (/.f64 (exp.f64 a) (+.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 70.5% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| ▶ | 69.9% | (/.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))))) |
| 69.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| ✓ | 75.4% | (/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
| ▶ | 27.8% | (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
| 27.9% | (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) | |
| 49.6% | #s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) | |
| ✓ | 79.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 59.9% | #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))))) | |
| ✓ | 53.2% | #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))))) |
| 52.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) | |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| 17.6% | #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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) | |
| ▶ | 18.0% | #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 (*.f64 #s(literal 1/2 binary64) b) b))))) |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| ▶ | 38.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 37.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ✓ | 38.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) | |
| ▶ | 40.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 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))))) |
Compiled 1 098 to 748 computations (31.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) | |
| cost-diff | 0 | #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)) | |
| cost-diff | 0 | #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) | |
| cost-diff | 0 | (/.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)))) | |
| 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 (*.f64 #s(literal 1/2 binary64) b) b))))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp 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 | 54 | 417 |
| 0 | 81 | 417 |
| 1 | 115 | 417 |
| 2 | 169 | 417 |
| 3 | 367 | 417 |
| 4 | 741 | 417 |
| 5 | 897 | 417 |
| 6 | 903 | 417 |
| 0 | 903 | 406 |
| 1× | iter limit |
| 1× | saturated |
| 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 (/ 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) 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(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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
(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) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
| 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 (/ 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) 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(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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
(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) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 b) |
b |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5078097479416279 | (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) | |
| accuracy | 12.507932102220892 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) | |
| accuracy | 19.595942546260254 | #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) | |
| accuracy | 42.80840795669506 | #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) | |
| accuracy | 13.004792509891272 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| accuracy | 27.004472575863993 | #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (/.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)))) | |
| accuracy | 13.004792509891272 | #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))))) | |
| accuracy | 17.545339861356773 | #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) | |
| accuracy | 35.45259295607851 | #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)) | |
| accuracy | 13.004792509891272 | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) | |
| accuracy | 26.030195579293576 | #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) | |
| accuracy | 0.5078097479416279 | (/.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 | 19.729866497746897 | #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 | 26.119726925914396 | #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)))) |
| 114.0ms | 256× | 0 | valid |
Compiled 643 to 98 computations (84.8% saved)
ival-add: 57.0ms (59.5% of total)ival-mult: 21.0ms (21.9% of total)const: 10.0ms (10.4% of total)ival-exp: 4.0ms (4.2% of total)ival-div: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (/ 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) 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 b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) |
#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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(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)) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
a |
(* a (+ 1 (* 1/2 a))) |
1/2 |
(+ 1/2 (* 1/6 a)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 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) |
1/48 |
(+ 1/48 (* -1/480 (pow b 2))) |
(* 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))))) |
(* -1/480 (pow b 2)) |
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* -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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (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) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (+ (* 1/2 a) 1) a) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (+ (exp a) (exp b))) |
| 2.0ms | a | @ | 0 | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (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) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (+ (* 1/2 a) 1) a) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (+ (exp a) (exp b))) |
| 2.0ms | b | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (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) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (+ (* 1/2 a) 1) a) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (+ (exp a) (exp b))) |
| 2.0ms | b | @ | -inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (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) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (+ (* 1/2 a) 1) a) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (+ (exp a) (exp b))) |
| 1.0ms | a | @ | inf | ((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (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) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (+ (* 1/2 a) 1) a) (+ (* 1/6 a) 1/2) (+ (* -1/480 (* b b)) 1/48) (+ (exp a) (exp b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 826 |
| 1 | 523 | 811 |
| 2 | 1519 | 790 |
| 3 | 5360 | 769 |
| 0 | 8245 | 707 |
| 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)))))) |
a |
(* a (+ 1 (* 1/2 a))) |
1/2 |
(+ 1/2 (* 1/6 a)) |
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 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) |
1/48 |
(+ 1/48 (* -1/480 (pow b 2))) |
(* 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))))) |
(* -1/480 (pow b 2)) |
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) |
(* -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))))))) |
| 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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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 (+.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.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)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) a)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) 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)) |
a |
(* a (+ 1 (* 1/2 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
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)) |
(* 1/2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(* 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 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 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 (neg.f64 (fma.f64 b (fma.f64 (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ 1 (+ 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/48 (pow b 2)) 1/4) |
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) |
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
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)) |
(* 1/2 (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 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) |
(* -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 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (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 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 5 binary64)))) (-.f64 #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))) |
(* -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 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 4 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)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #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 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #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 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 5 binary64)))) (-.f64 #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 351 |
| 0 | 81 | 351 |
| 1 | 307 | 351 |
| 2 | 2140 | 351 |
| 0 | 8136 | 340 |
| 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 (/ 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) 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 b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) |
#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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) |
(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)) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.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(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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(literal -1 binary64)) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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(literal -1 binary64))) |
(*.f64 #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)))))) |
(*.f64 (exp.f64 a) (pow.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(literal -1 binary64))) |
(pow.f64 (/.f64 (/.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)))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.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)))) (exp.f64 a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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)))) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.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)))) (exp.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 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)))) (exp.f64 a))) |
(/.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)))))) |
(neg.f64 (/.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 (/.f64 #s(literal 0 binary64) (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) (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))))))) |
(exp.f64 (*.f64 (log.f64 (/.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)))) (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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 (/ 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))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.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))))) |
(*.f64 (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #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 b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a))) (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64)) a)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) a)) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64)) a) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) a) (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (*.f64 #s(literal 1 binary64) a)) |
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 #s(literal 1/2 binary64) a) a)) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) a) (*.f64 a #s(literal 1 binary64))) |
(fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (*.f64 #s(literal 1 binary64) a)) |
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) a) a)) |
(+.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a #s(literal 1 binary64))) |
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #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) a) #s(literal 2 binary64)) (*.f64 a #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 a #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 a #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) a))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) a #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))) |
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) |
(/.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) (fma.f64 #s(literal -1/110592000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64)) |
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) |
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) |
(fma.f64 b (*.f64 #s(literal -1/480 binary64) b) #s(literal 1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) |
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
Compiled 10 403 to 1 262 computations (87.9% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 262 | 4 | 266 |
| Fresh | 1 | 12 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 266 | 23 | 289 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (/.f64 (exp.f64 a) (+.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 70.5% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| 69.1% | (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| 40.4% | (/.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))))) | |
| 57.1% | (/.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))))) | |
| 49.6% | #s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) | |
| ✓ | 79.7% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
| 59.9% | #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))))) | |
| ✓ | 53.2% | #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))))) |
| 52.8% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) | |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) | |
| 47.5% | #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 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) | |
| 17.6% | #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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) | |
| ✓ | 18.0% | #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 (*.f64 #s(literal 1/2 binary64) b) b))))) |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| 39.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) | |
| ✓ | 38.2% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| 37.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) | |
| ✓ | 38.6% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
| 17.7% | #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))))) | |
| 3.9% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) | |
| ✓ | 40.0% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
| 39.1% | #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 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))))) |
Compiled 1 507 to 635 computations (57.9% 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
(/.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) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.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))))) |
(/.f64 (exp.f64 a) (+.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 b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a)) |
(/.f64 (exp.f64 a) (/.f64 (-.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)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
5 calls:
| 12.0ms | (exp.f64 b) |
| 11.0ms | b |
| 11.0ms | a |
| 9.0ms | (exp.f64 a) |
| 8.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.2% | 1 | (exp.f64 a) |
| 99.2% | 1 | (exp.f64 b) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
(/.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) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.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))))) |
(/.f64 (exp.f64 a) (+.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 b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ (exp a) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (exp a) (/ (- (pow (exp b) 2) (pow (exp a) 2)) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 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))))) |
(/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
5 calls:
| 10.0ms | a |
| 9.0ms | b |
| 9.0ms | (exp.f64 b) |
| 7.0ms | (exp.f64 a) |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
| 99.7% | 3 | b |
| 79.7% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.4% | 2 | (exp.f64 a) |
| 99.2% | 3 | (exp.f64 b) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
(/.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) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(/.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))))) |
(/.f64 (exp.f64 a) (+.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 b) (+.f64 #s(literal 1 binary64) b)))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 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:
| 7.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | a |
| 99.3% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
(/.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) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 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:
| 6.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | a |
| 98.6% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
4 calls:
| 6.0ms | a |
| 6.0ms | b |
| 6.0ms | (exp.f64 b) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 2 | (exp.f64 b) |
| 82.4% | 2 | b |
| 81.0% | 2 | a |
| 81.0% | 2 | (exp.f64 a) |
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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))) |
(/.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))) #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))))) |
| 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
5 calls:
| 11.0ms | (exp.f64 b) |
| 6.0ms | b |
| 5.0ms | a |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 2 | (exp.f64 b) |
| 75.0% | 3 | a |
| 69.0% | 2 | (exp.f64 a) |
| 65.6% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 74.8% | 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
5 calls:
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (exp.f64 a) |
| 3.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 59.9% | 1 | (exp.f64 a) |
| 61.8% | 2 | (exp.f64 b) |
| 59.9% | 1 | a |
| 61.8% | 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.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))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) |
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 |
|---|---|---|
| 53.2% | 1 | a |
| 53.2% | 1 | (exp.f64 a) |
| 54.9% | 2 | (exp.f64 b) |
| 54.9% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 54.9% | 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | a |
| 52.8% | 1 | (exp.f64 a) |
| 54.5% | 2 | (exp.f64 b) |
| 54.5% | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 54.5% | 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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 (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 | b |
| 3.0ms | (exp.f64 b) |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 2 | (exp.f64 b) |
| 54.5% | 2 | b |
| 54.4% | 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 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 |
|---|---|---|
| 54.5% | 2 | (exp.f64 b) |
| 54.5% | 2 | b |
Compiled 3 to 5 computations (-66.7% saved)
Total -23.8b remaining (-62.1%)
Threshold costs -23.8b (-62.1%)
| 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(literal 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 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
5 calls:
| 3.0ms | b |
| 2.0ms | a |
| 2.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.0% | 1 | a |
| 40.0% | 1 | (exp.f64 a) |
| 40.0% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 40.0% | 1 | (exp.f64 b) |
| 40.0% | 1 | b |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999676850996012 | 0.9999975133693256 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999975133693256 | 0.9999999999999033 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999975133693256 | 0.9999999999999033 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.292705133860711e+80 | 1.2489450550677026e+88 |
| 7.0ms | 144× | 0 | valid |
Compiled 380 to 299 computations (21.3% saved)
ival-exp: 2.0ms (51.5% of total)ival-div: 1.0ms (25.7% of total)ival-add: 1.0ms (25.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.292705133860711e+80 | 1.2489450550677026e+88 |
Compiled 479 to 353 computations (26.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -56305288665932.56 | -258220297.36859834 |
| 7.0ms | 144× | 0 | valid |
| 1.0ms | 27× | 0 | exit |
Compiled 398 to 299 computations (24.9% saved)
ival-exp: 3.0ms (61.5% of total)ival-div: 1.0ms (20.5% of total)ival-add: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -56305288665932.56 | -258220297.36859834 |
Compiled 371 to 281 computations (24.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000001742 | 0.5000000000051494 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.028530706022570674 | 777685.9680642224 |
| 8.0ms | 144× | 0 | valid |
Compiled 452 to 335 computations (25.9% saved)
ival-exp: 4.0ms (73.9% of total)ival-div: 1.0ms (18.5% of total)ival-add: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.028530706022570674 | 777685.9680642224 |
| 6.0ms | 112× | 0 | valid |
Compiled 443 to 335 computations (24.4% saved)
ival-exp: 2.0ms (57.8% of total)ival-div: 1.0ms (28.9% of total)ival-add: 1.0ms (28.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 524 |
| 1 | 110 | 524 |
| 2 | 118 | 524 |
| 3 | 139 | 524 |
| 4 | 169 | 524 |
| 5 | 173 | 524 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007019110755897/9007199254740992 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))))) (/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 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 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 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 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -260000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -260000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1125899906853883/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007019110755897/9007199254740992 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))))) (/.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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 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 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 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))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007181240342483/9007199254740992 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))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 b #s(literal 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 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))) (pow.f64 #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)))) |
(if (<=.f64 b #s(literal 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal 12199999999999999681568744845312858282532102368002959146719205607203683672162264120557568 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))) (pow.f64 #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)))) |
(if (<=.f64 b #s(literal -260000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -260000000 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))) (pow.f64 #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)))) |
(if (<=.f64 b #s(literal -260000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) |
(if (<=.f64 b #s(literal -260000000 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))) (pow.f64 #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)))) |
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1125899906853883/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1125899906853883/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64))) #s(literal -1 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 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))) (pow.f64 #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)))) |
(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)))))) |
(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))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64)))) |
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 516 |
| 1 | 332 | 501 |
| 2 | 973 | 484 |
| 3 | 3759 | 453 |
| 0 | 8455 | 416 |
| 0 | 191 | 826 |
| 1 | 523 | 811 |
| 2 | 1519 | 790 |
| 3 | 5360 | 769 |
| 0 | 8245 | 707 |
| 0 | 521 | 3050 |
| 1 | 1566 | 2930 |
| 2 | 5184 | 2746 |
| 0 | 8333 | 2357 |
| 0 | 168 | 692 |
| 1 | 465 | 673 |
| 2 | 1294 | 652 |
| 3 | 5802 | 633 |
| 0 | 8098 | 568 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 802 to 373 computations (53.5% saved)
Compiled 1 080 to 222 computations (79.4% saved)
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