
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 2.0s | 6 764× | 5 | exit |
| 867.0ms | 1 535× | 2 | valid |
| 517.0ms | 2 264× | 1 | valid |
| 291.0ms | 4 457× | 0 | valid |
| 93.0ms | 906× | 1 | exit |
ival-log: 1.1s (38% of total)ival-exp: 938.0ms (31.5% of total)adjust: 575.0ms (19.3% of total)ival-add: 315.0ms (10.6% of total)ival-true: 14.0ms (0.5% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 0 | - | 0 | - | (log.f64 (+.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 | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | sensitivity | 114 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 4 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 4 | |
| ↳ | (exp.f64 a) | overflow | 3 | |
| ↳ | (exp.f64 b) | overflow | 1 | |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 1 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 1 | |
| ↳ | (exp.f64 a) | underflow | 64 | |
| ↳ | (exp.f64 b) | underflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 119 | 0 |
| - | 0 | 137 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 119 | 0 | 0 |
| - | 0 | 0 | 137 |
| number | freq |
|---|---|
| 0 | 137 |
| 1 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 86× | 2 | valid |
| 26.0ms | 136× | 1 | valid |
| 18.0ms | 290× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-exp: 57.0ms (55.8% of total)ival-log: 36.0ms (35.3% of total)adjust: 5.0ms (4.9% of total)ival-add: 4.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 32 | 36 |
| 2 | 46 | 36 |
| 3 | 55 | 36 |
| 4 | 66 | 36 |
| 5 | 83 | 36 |
| 6 | 98 | 36 |
| 7 | 106 | 36 |
| 8 | 109 | 36 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 11 | 6 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(sort a b)
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 11 | 17 |
| 0 | 11 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
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 | 0.01953125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 27.414731197885743 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 23.0ms | 43× | 2 | valid |
| 15.0ms | 68× | 1 | valid |
| 9.0ms | 145× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-log: 18.0ms (50.5% of total)ival-exp: 13.0ms (36.4% of total)adjust: 2.0ms (5.6% of total)ival-add: 2.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
| Outputs |
|---|
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(exp a) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 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 | |
|---|---|---|---|---|
| 27.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 25.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 17.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 14.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 1.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 370 |
| 1 | 274 | 370 |
| 2 | 769 | 362 |
| 3 | 2539 | 354 |
| 0 | 8583 | 306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(exp a) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 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 |
|---|
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 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 #s(literal -1/2 binary64) (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 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 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a)))) a (log1p.f64 (exp.f64 b))) |
(+ 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))) |
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)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp a) |
(exp.f64 a) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b)))) b (log1p.f64 (exp.f64 a))) |
(+ 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 | 15 |
| 0 | 10 | 15 |
| 1 | 24 | 15 |
| 2 | 150 | 15 |
| 0 | 1417 | 15 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.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 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (log.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 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (-.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.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 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.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 (exp.f64 b) (exp.f64 a))) |
(*.f64 (neg.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 (neg.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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.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))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (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 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))))) (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.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 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #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 (/.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 (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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.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 (-.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 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (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)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.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 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) |
(/.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) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (*.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 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (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 (-.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 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.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 (/.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 (/.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) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
Compiled 2 591 to 412 computations (84.1% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 10 | 104 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 94 | 11 | 105 |
| Status | Accuracy | Program |
|---|---|---|
| 57.1% | (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) | |
| ▶ | 57.1% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| ✓ | 57.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 55.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) | |
| 54.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ▶ | 54.2% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 55.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| ▶ | 98.3% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
| 97.6% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) | |
| 54.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 53.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 316 to 244 computations (22.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) | |
| cost-diff | 1 | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) | |
| cost-diff | 2 | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 a)) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 5 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 261 |
| 0 | 57 | 259 |
| 1 | 84 | 254 |
| 2 | 141 | 254 |
| 3 | 333 | 254 |
| 4 | 716 | 252 |
| 5 | 1044 | 249 |
| 6 | 1276 | 245 |
| 7 | 1361 | 245 |
| 8 | 1370 | 245 |
| 0 | 1370 | 242 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.01953125 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| accuracy | 0.03125 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) | |
| accuracy | 27.43402779243246 | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 2.519749888416941 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| accuracy | 27.414731197885743 | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.01953125 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| accuracy | 27.414731197885743 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 28.888407474490606 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 29.97538517456852 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.01171875 | (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.045253759768442016 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) | |
| accuracy | 1.0842106889690328 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
| 51.0ms | 43× | 2 | valid |
| 41.0ms | 145× | 0 | valid |
| 39.0ms | 68× | 1 | valid |
Compiled 480 to 63 computations (86.9% saved)
ival-log: 34.0ms (32.8% of total)ival-add: 20.0ms (19.3% of total)ival-exp: 15.0ms (14.5% of total)ival-mult: 10.0ms (9.6% of total)adjust: 8.0ms (7.7% of total)ival-div: 8.0ms (7.7% of total)ival-pow2: 4.0ms (3.9% of total)ival-log1p: 3.0ms (2.9% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp a) #s(literal 1 binary64)) |
(exp.f64 b) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
| Outputs |
|---|
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(log (/ 1 (+ 1 (exp b)))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(/ 1 (+ 1 (exp b))) |
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
-1/8 |
(- (* 1/8 a) 1/8) |
(- (* a (+ 1/8 (* -1/32 a))) 1/8) |
(- (* a (+ 1/8 (* a (- (* -1/96 a) 1/32)))) 1/8) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(/ 1 (+ (exp a) (exp b))) |
(/ -1/2 (pow (+ 1 (exp a)) 2)) |
(+ 1 (exp a)) |
(/ 1 (+ 1 (exp a))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ 1 (* 1/2 b)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(log (/ 1 (+ 1 (exp a)))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(exp b) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 75.0ms | b | @ | inf | ((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1)) |
| 45.0ms | a | @ | inf | ((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1)) |
| 44.0ms | a | @ | -inf | ((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1)) |
| 34.0ms | b | @ | -inf | ((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1)) |
| 24.0ms | a | @ | 0 | ((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 2233 |
| 1 | 1233 | 2150 |
| 2 | 4137 | 2089 |
| 3 | 7658 | 2077 |
| 0 | 8453 | 1867 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(log (/ 1 (+ 1 (exp b)))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(/ 1 (+ 1 (exp b))) |
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
-1/8 |
(- (* 1/8 a) 1/8) |
(- (* a (+ 1/8 (* -1/32 a))) 1/8) |
(- (* a (+ 1/8 (* a (- (* -1/96 a) 1/32)))) 1/8) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(/ 1 (+ (exp a) (exp b))) |
(/ -1/2 (pow (+ 1 (exp a)) 2)) |
(+ 1 (exp a)) |
(/ 1 (+ 1 (exp a))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ 1 (* 1/2 b)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(log (/ 1 (+ 1 (exp a)))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(exp b) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
| Outputs |
|---|
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (*.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal -1/32 binary64) b (*.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 2 (* 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 (+ a (* b (+ 1 (* 1/2 b))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64)) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(log1p.f64 (exp.f64 b)) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (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 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 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 (log1p.f64 (exp.f64 b))) |
(log (/ 1 (+ 1 (exp b)))) |
(neg.f64 (log1p.f64 (exp.f64 b))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b))))) |
(neg.f64 (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) a) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.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 (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/8 a) 1/8) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal -1/8 binary64)) |
(- (* a (+ 1/8 (* -1/32 a))) 1/8) |
(fma.f64 (fma.f64 #s(literal -1/32 binary64) a #s(literal 1/8 binary64)) a #s(literal -1/8 binary64)) |
(- (* a (+ 1/8 (* a (- (* -1/96 a) 1/32)))) 1/8) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) a #s(literal -1/32 binary64)) a #s(literal 1/8 binary64)) a #s(literal -1/8 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 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 (log (/ 1 (+ (exp a) (exp b))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/ 1 (+ (exp a) (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ -1/2 (pow (+ 1 (exp a)) 2)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/ 1 (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ 1 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 (exp.f64 a) b) #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 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(log1p.f64 (exp.f64 a)) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 a) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log (/ 1 (+ 1 (exp a)))) |
(neg.f64 (log1p.f64 (exp.f64 a))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))) |
(neg.f64 (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (neg.f64 (log1p.f64 (exp.f64 a)))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 a) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (neg.f64 (log1p.f64 (exp.f64 a)))) |
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (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) (exp.f64 a)))) b)) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(fma.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) 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) |
(* 1/2 (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) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (*.f64 b b)) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (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) (exp.f64 a)))) b)) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(fma.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 204 |
| 0 | 57 | 199 |
| 1 | 210 | 197 |
| 2 | 1683 | 197 |
| 0 | 8209 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp a) #s(literal 1 binary64)) |
(exp.f64 b) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) b))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 b #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) b)) (*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) b))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 b #s(literal 1 binary64)))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (*.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)) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64)))) |
(exp.f64 (log1p.f64 (exp.f64 a))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
Compiled 54 204 to 5 864 computations (89.2% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 293 | 16 | 1 309 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 297 | 23 | 1 320 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 57.1% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| 55.6% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) | |
| 55.0% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 57.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 55.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) | |
| 54.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 54.2% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 53.6% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) | |
| 52.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 55.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| ▶ | 53.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
| 1.4% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) | |
| ▶ | 2.2% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
| 97.6% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) | |
| 54.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 60.9% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
| ▶ | 97.6% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
| ✓ | 53.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 50.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ▶ | 51.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 53.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 850 to 639 computations (24.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 392 |
| 0 | 66 | 392 |
| 1 | 97 | 380 |
| 2 | 142 | 380 |
| 3 | 241 | 380 |
| 4 | 423 | 380 |
| 5 | 591 | 380 |
| 6 | 723 | 362 |
| 7 | 779 | 362 |
| 8 | 789 | 362 |
| 9 | 790 | 362 |
| 0 | 790 | 353 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(exp.f64 a) |
a |
b |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
b |
#s(literal 1/2 binary64) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
b |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
b |
#s(literal 1/2 binary64) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) | |
| accuracy | 1.0842106889690328 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| accuracy | 24.37270005103772 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) | |
| accuracy | 2.519749888416941 | #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) | |
| accuracy | 24.277985673847176 | #s(approx (+ (exp a) 1) #s(literal 2 binary64)) | |
| accuracy | 27.414731197885743 | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) | |
| accuracy | 2.519749888416941 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) | |
| accuracy | 27.414731197885743 | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) | |
| accuracy | 60.66284798101214 | #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| accuracy | 28.888407474490606 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 29.97538517456852 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 a)) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) | |
| accuracy | 1.0842106889690328 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) | |
| accuracy | 2.187694279222197 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
| 46.0ms | 43× | 2 | valid |
| 37.0ms | 68× | 1 | valid |
| 37.0ms | 145× | 0 | valid |
Compiled 642 to 82 computations (87.2% saved)
ival-log: 22.0ms (24.5% of total)ival-add: 17.0ms (18.9% of total)ival-mult: 15.0ms (16.7% of total)ival-exp: 13.0ms (14.5% of total)adjust: 10.0ms (11.1% of total)ival-div: 6.0ms (6.7% of total)ival-pow2: 4.0ms (4.4% of total)ival-log1p: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
(exp.f64 a) |
| Outputs |
|---|
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
1/2 |
(+ 1/2 (* -1/4 a)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(/ 1 (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (exp a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(* 1/2 (pow b 2)) |
(+ 1 (* 1/2 b)) |
(+ 1/2 (* 1/8 b)) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/8 b) |
(* b (+ 1/8 (* 1/2 (/ 1 b)))) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a)) |
| 17.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a)) |
| 9.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a)) |
| 9.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a)) |
| 2.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 1196 |
| 1 | 905 | 1124 |
| 2 | 3052 | 1049 |
| 3 | 7657 | 1049 |
| 0 | 8067 | 920 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
1/2 |
(+ 1/2 (* -1/4 a)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(/ 1 (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (exp a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(* 1/2 (pow b 2)) |
(+ 1 (* 1/2 b)) |
(+ 1/2 (* 1/8 b)) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/8 b) |
(* b (+ 1/8 (* 1/2 (/ 1 b)))) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
| Outputs |
|---|
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal -1/32 binary64) b (*.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (*.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 a)) |
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(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)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 2 (* 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 (+ a (* b (+ 1 (* 1/2 b))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64)) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/ 1 (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 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)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) b) #s(literal 1/6 binary64) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.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 (* 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 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(+ 1 (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(+ 1/2 (* 1/8 b)) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (exp.f64 a) b))) b (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* (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) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 a) b) b)) b (/.f64 #s(literal 1 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)) |
(* 1/8 b) |
(*.f64 #s(literal 1/8 binary64) b) |
(* b (+ 1/8 (* 1/2 (/ 1 b)))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 367 |
| 0 | 66 | 355 |
| 1 | 245 | 355 |
| 2 | 1858 | 351 |
| 0 | 8453 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
(exp.f64 a) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (log1p.f64 (exp.f64 a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 b (log1p.f64 (exp.f64 a)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (*.f64 b (log1p.f64 (exp.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))))) |
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) |
(fma.f64 b #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64)))) |
(exp.f64 (log1p.f64 (exp.f64 a))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(approx (+ (exp a) 1) #s(literal 2 binary64)) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(exp.f64 a) |
Compiled 16 537 to 1 612 computations (90.3% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 7 | 335 |
| Fresh | 0 | 13 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 331 | 27 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 57.1% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| 55.6% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) | |
| 55.0% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 57.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 55.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) | |
| 54.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 54.2% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 53.6% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) | |
| 52.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 55.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| ✓ | 53.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
| ▶ | 1.4% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
| 2.2% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) | |
| 97.6% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) | |
| ▶ | 54.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| ▶ | 97.6% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) | |
| 47.7% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) | |
| ▶ | 54.2% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
| 54.3% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) | |
| 60.5% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| ✓ | 53.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ▶ | 50.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 51.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 53.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 1 249 to 878 computations (29.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 b)) | |
| cost-diff | 0 | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) | |
| cost-diff | 0 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 2 | (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 415 |
| 0 | 76 | 414 |
| 1 | 110 | 392 |
| 2 | 162 | 392 |
| 3 | 293 | 392 |
| 4 | 498 | 392 |
| 5 | 765 | 392 |
| 6 | 1131 | 374 |
| 7 | 1288 | 374 |
| 8 | 1308 | 374 |
| 9 | 1309 | 374 |
| 0 | 1309 | 365 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
b |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
(+.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
b |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
b |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
(+.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
b |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) | |
| accuracy | 1.0842106889690328 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) | |
| accuracy | 2.187694279222197 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) | |
| accuracy | 29.29573046079246 | #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.9919297950378392 | (log1p.f64 (exp.f64 b)) | |
| accuracy | 28.323562350030926 | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) | |
| accuracy | 2.519749888416941 | #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) | |
| accuracy | 27.414731197885743 | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) | |
| accuracy | 60.19708986529104 | #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) a) | |
| accuracy | 0.0 | (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) | |
| accuracy | 28.95902629433447 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| accuracy | 29.97538517456852 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.5234375 | (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 1.0842106889690328 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| accuracy | 2.187694279222197 | #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| 99.0ms | 43× | 2 | valid |
| 51.0ms | 68× | 1 | valid |
| 45.0ms | 145× | 0 | valid |
Compiled 673 to 93 computations (86.2% saved)
ival-add: 41.0ms (24.7% of total)ival-log: 34.0ms (20.5% of total)adjust: 26.0ms (15.6% of total)ival-exp: 16.0ms (9.6% of total)ival-mult: 12.0ms (7.2% of total)ival-pow: 11.0ms (6.6% of total)ival-div: 9.0ms (5.4% of total)ival-log1p: 7.0ms (4.2% of total)ival-pow2: 7.0ms (4.2% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* -1/4 a)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ 1 (+ 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(log (+ 1 (exp a))) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(+ 1 (exp a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
b |
(* b (+ 1 (* 1/2 b))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(exp b) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | b | @ | inf | ((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a))) |
| 33.0ms | b | @ | -inf | ((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a))) |
| 28.0ms | a | @ | -inf | ((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a))) |
| 24.0ms | a | @ | inf | ((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a))) |
| 2.0ms | b | @ | 0 | ((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 364 | 1620 |
| 1 | 1126 | 1547 |
| 2 | 3834 | 1478 |
| 3 | 6005 | 1448 |
| 0 | 8272 | 1276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/4 a)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
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 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ 1 (+ 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(log (+ 1 (exp a))) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(+ (exp a) (exp b)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(+ 1 (exp a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
b |
(* b (+ 1 (* 1/2 b))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(exp b) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 a)) |
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4))) |
(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)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal -1/32 binary64) b (*.f64 #s(literal 1/48 binary64) a)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (log.f64 #s(literal 2 binary64)))) |
(+ 1/2 (+ (* -1/8 b) (* 1/4 b))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4))))) |
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (*.f64 #s(literal 1/48 binary64) a)) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 2 (* 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 (+ a (* b (+ 1 (* 1/2 b))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64)) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(log1p.f64 (exp.f64 b)) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (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 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 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 (log1p.f64 (exp.f64 b))) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(/ 1 (+ 1 (exp a))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 #s(literal 1 binary64) a) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 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 (log (/ 1 (+ (exp a) (exp b))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.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 (* 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))) |
b |
(* b (+ 1 (* 1/2 b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(log1p.f64 (exp.f64 a)) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 a) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 b (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* 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) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (*.f64 b b)) |
(exp b) |
(exp.f64 b) |
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a)))))) |
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) |
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)))) |
(*.f64 b (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a))))))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a)))))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b)))) |
(*.f64 b (fma.f64 #s(literal 1/2 binary64) b (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 373 |
| 0 | 76 | 352 |
| 1 | 296 | 350 |
| 2 | 2207 | 346 |
| 0 | 8114 | 337 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 a) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b (neg.f64 (log1p.f64 (exp.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (*.f64 b (log1p.f64 (exp.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 3 binary64))))) |
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)) |
(fma.f64 b #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)))) |
Compiled 11 467 to 1 180 computations (89.7% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 7 | 253 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 253 | 27 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 57.1% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| 55.6% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) | |
| 55.0% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 57.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 55.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) | |
| 54.6% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| 52.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 55.2% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| ✓ | 53.3% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
| 2.2% | (log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) | |
| 97.6% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) | |
| ✓ | 54.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| 52.9% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| 53.7% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 53.7% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 53.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) | |
| 51.5% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) | |
| 47.7% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) | |
| ✓ | 54.2% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
| 54.3% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) | |
| 60.5% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) | |
| ✓ | 53.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ✓ | 50.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 51.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 1 754 to 694 computations (60.4% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
6 calls:
| 31.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | (exp.f64 b) |
| 11.0ms | a |
| 11.0ms | b |
| 9.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | a |
| 98.3% | 1 | b |
| 98.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.3% | 1 | (exp.f64 a) |
| 98.3% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
6 calls:
| 15.0ms | b |
| 12.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 10.0ms | a |
| 9.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 8.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | a |
| 97.6% | 1 | b |
| 97.6% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.6% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.6% | 1 | (exp.f64 a) |
| 97.6% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp 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))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp 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.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
6 calls:
| 12.0ms | a |
| 11.0ms | (exp.f64 b) |
| 11.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | b |
| 7.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 1 | a |
| 60.9% | 1 | b |
| 60.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 60.9% | 1 | (exp.f64 a) |
| 60.9% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
6 calls:
| 24.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 12.0ms | b |
| 10.0ms | a |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 1 | a |
| 60.5% | 1 | (exp.f64 a) |
| 60.5% | 1 | b |
| 60.5% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 60.5% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 60.5% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
6 calls:
| 86.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 7.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | a |
| 6.0ms | b |
| 5.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 1 | a |
| 56.0% | 2 | b |
| 54.2% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 54.2% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 54.2% | 1 | (exp.f64 a) |
| 54.2% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 2 | b |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 8.0ms | (exp.f64 a) |
| 5.0ms | a |
| 5.0ms | b |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | a |
| 53.7% | 1 | (exp.f64 a) |
| 53.7% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.7% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 53.7% | 1 | (exp.f64 b) |
| 55.5% | 2 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
5 calls:
| 8.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | b |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.7% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 53.7% | 1 | (exp.f64 a) |
| 53.7% | 1 | (exp.f64 b) |
| 53.7% | 1 | b |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp 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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 85.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | a |
| 4.0ms | b |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | a |
| 53.7% | 1 | b |
| 53.7% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.7% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 53.7% | 1 | (exp.f64 a) |
| 53.7% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) |
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 25.0ms | (exp.f64 a) |
| 4.0ms | a |
| 3.0ms | b |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | a |
| 53.2% | 1 | (exp.f64 a) |
| 53.2% | 1 | (exp.f64 b) |
| 53.2% | 1 | b |
| 53.2% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.2% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
6 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | a |
| 52.9% | 1 | b |
| 52.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 52.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 52.9% | 1 | (exp.f64 a) |
| 52.9% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
Total -1.2b remaining (-4%)
Threshold costs -1.2b (-4%)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
6 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | a |
| 51.8% | 1 | b |
| 51.8% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.8% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 51.8% | 1 | (exp.f64 a) |
| 51.8% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.7982217283104242e-157 | 2.2452151843483123e-156 |
| 12.0ms | 44× | 1 | valid |
| 3.0ms | 52× | 0 | valid |
Compiled 117 to 125 computations (-6.8% saved)
ival-log: 8.0ms (66.3% of total)ival-exp: 3.0ms (24.9% of total)adjust: 1.0ms (8.3% of total)ival-add: 1.0ms (8.3% 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 | 1.7982217283104242e-157 | 2.2452151843483123e-156 |
Compiled 129 to 131 computations (-1.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.7982217283104242e-157 | 2.2452151843483123e-156 |
Compiled 351 to 263 computations (25.1% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 364 |
| 1 | 109 | 350 |
| 2 | 154 | 350 |
| 3 | 314 | 350 |
| 4 | 640 | 346 |
| 5 | 984 | 346 |
| 6 | 2235 | 342 |
| 7 | 5706 | 342 |
| 8 | 7149 | 342 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 1196 |
| 1 | 905 | 1124 |
| 2 | 3052 | 1049 |
| 3 | 7657 | 1049 |
| 0 | 8067 | 920 |
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 24 | 15 |
| 2 | 150 | 15 |
| 0 | 1417 | 15 |
| 0 | 405 | 2233 |
| 1 | 1233 | 2150 |
| 2 | 4137 | 2089 |
| 3 | 7658 | 2077 |
| 0 | 8453 | 1867 |
| 0 | 364 | 1620 |
| 1 | 1126 | 1547 |
| 2 | 3834 | 1478 |
| 3 | 6005 | 1448 |
| 0 | 8272 | 1276 |
| 0 | 99 | 370 |
| 1 | 274 | 370 |
| 2 | 769 | 362 |
| 3 | 2539 | 354 |
| 0 | 8583 | 306 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 515 to 232 computations (55% saved)
Compiled 1 058 to 404 computations (61.8% saved)
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