
Time bar (total: 10.5s)
| 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)
| 2.8s | 7 740× | 5 | exit |
| 883.0ms | 1 604× | 2 | valid |
| 524.0ms | 2 216× | 1 | valid |
| 243.0ms | 4 436× | 0 | valid |
ival-log: 1.2s (33.1% of total)adjust: 1.1s (31.6% of total)ival-exp: 923.0ms (26.5% of total)ival-add: 289.0ms (8.3% of total)ival-true: 13.0ms (0.4% of total)ival-assert: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 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 | 123 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 5 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 5 | |
| ↳ | (exp.f64 a) | overflow | 4 | |
| ↳ | (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 | 74 | |
| ↳ | (exp.f64 b) | underflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 0 |
| - | 0 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 0 | 0 |
| - | 0 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 127 |
| 1 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 100× | 2 | valid |
| 27.0ms | 140× | 1 | valid |
| 16.0ms | 272× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 38.0ms (50.4% of total)ival-exp: 26.0ms (34.5% of total)adjust: 7.0ms (9.3% of total)ival-add: 4.0ms (5.3% 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 | 36 | 36 |
| 2 | 93 | 36 |
| 3 | 350 | 36 |
| 4 | 1728 | 36 |
| 5 | 6576 | 36 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 17 | 6 |
| 2 | 40 | 6 |
| 3 | 112 | 6 |
| 4 | 514 | 6 |
| 5 | 5054 | 6 |
| 0 | 8066 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 53.8% | (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 | 17 | 17 |
| 2 | 40 | 17 |
| 3 | 112 | 17 |
| 4 | 514 | 17 |
| 5 | 5054 | 17 |
| 0 | 8066 | 17 |
| 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) |
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 | 0.00390625 | (exp.f64 a) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 29.561701491163614 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 26.0ms | 50× | 2 | valid |
| 14.0ms | 70× | 1 | valid |
| 8.0ms | 136× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-log: 19.0ms (51.8% of total)ival-exp: 12.0ms (32.7% of total)adjust: 3.0ms (8.2% of total)ival-add: 2.0ms (5.5% 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 | |
|---|---|---|---|---|
| 38.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 20.0ms | 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 | 317 | 370 |
| 2 | 1186 | 366 |
| 3 | 5037 | 366 |
| 0 | 8217 | 320 |
| 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 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 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 (*.f64 #s(literal 1/6 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) 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 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) 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 1/6 binary64) b) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) 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 | 30 | 15 |
| 2 | 225 | 15 |
| 3 | 2920 | 15 |
| 0 | 8678 | 15 |
| 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 (neg.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 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.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 (neg.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 2 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 2 binary64)))) (neg.f64 (log.f64 (*.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))))))) |
(/.f64 (neg.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)))) (neg.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 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #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 (neg.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)))) (neg.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 2 binary64)) (+.f64 (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 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 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (log.f64 (*.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))))) |
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(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 a))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 a))) (sqrt.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 a))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (cosh.f64 a))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) |
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))) |
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 a)))) |
(fabs.f64 (neg.f64 (exp.f64 a))) |
(fabs.f64 (exp.f64 a)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 a #s(literal 1 binary64))) |
(exp.f64 a) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(+.f64 (sinh.f64 a) (cosh.f64 a)) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b))))) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 b))) (sqrt.f64 (neg.f64 (exp.f64 b)))) |
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b))) |
(pow.f64 (neg.f64 (exp.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 b) (cosh.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64)))) (exp.f64 (neg.f64 b))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 b))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 b))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) |
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))) |
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b)))) |
(fabs.f64 (neg.f64 (exp.f64 b))) |
(fabs.f64 (exp.f64 b)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64))) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(exp.f64 b) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(+.f64 (sinh.f64 b) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
Compiled 7 882 to 1 233 computations (84.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 9 | 290 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 281 | 10 | 291 |
| Status | Accuracy | Program |
|---|---|---|
| 48.1% | (-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) | |
| ▶ | 48.1% | (log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
| ✓ | 53.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.9% | (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))))) | |
| ▶ | 51.7% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| 51.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ▶ | 48.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 98.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 48.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 49.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 234 to 194 computations (17.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cosh.f64 a) | |
| cost-diff | 0 | (+.f64 (cosh.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) | |
| cost-diff | 3 | (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) | |
| cost-diff | 0 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #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 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 168 |
| 0 | 50 | 168 |
| 1 | 76 | 162 |
| 2 | 146 | 162 |
| 3 | 413 | 162 |
| 4 | 2260 | 162 |
| 5 | 6793 | 162 |
| 0 | 9849 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
#s(literal 1 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 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #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) |
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) |
(+.f64 (cosh.f64 a) (exp.f64 b)) |
(cosh.f64 a) |
a |
(exp.f64 b) |
b |
(sinh.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)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(exp.f64 a) |
a |
#s(literal 1 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 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)) |
(exp.f64 a) |
a |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #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) |
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (cosh.f64 a) (exp.f64 b)) |
(cosh.f64 a) |
a |
(exp.f64 b) |
b |
(sinh.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sinh.f64 a) | |
| accuracy | 0.01171875 | (+.f64 (cosh.f64 a) (exp.f64 b)) | |
| accuracy | 0.738264731598578 | (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) | |
| accuracy | 1.4752848386588389 | (log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) | |
| accuracy | 0.00390625 | (exp.f64 a) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) | |
| accuracy | 1.2454050631328375 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 1.4752848386588389 | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.01171875 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| accuracy | 1.4752848386588389 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 1.714084859750818 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.00390625 | (exp.f64 a) | |
| accuracy | 2.3159875185569883 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.00390625 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 29.0ms | 127× | 0 | exit |
| 21.0ms | 126× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 134 to 23 computations (82.8% saved)
ival-div: 9.0ms (24.4% of total)ival-add: 8.0ms (21.7% of total)ival-log: 6.0ms (16.3% of total)ival-exp: 4.0ms (10.9% of total)ival-cosh: 3.0ms (8.1% of total)ival-mult: 3.0ms (8.1% of total)ival-sinh: 2.0ms (5.4% of total)ival-log1p: 2.0ms (5.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #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 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) |
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
(+.f64 (cosh.f64 a) (exp.f64 b)) |
(cosh.f64 a) |
(sinh.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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(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))))))) |
(+ 1 (+ (exp b) (* 1/2 (pow a 2)))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))) |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))) |
a |
(* a (+ 1 (* 1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2)))))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(* 1/2 (+ (exp a) (/ 1 (exp a)))) |
(* 1/2 (- (exp a) (/ 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 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(exp b) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 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)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a)) |
| 51.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 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)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a)) |
| 47.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 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)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a)) |
| 29.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 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)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a)) |
| 18.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 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)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (log (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (cosh a) (sinh a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 1241 |
| 1 | 868 | 1218 |
| 2 | 3471 | 1197 |
| 0 | 8467 | 1058 |
| 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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(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))))))) |
(+ 1 (+ (exp b) (* 1/2 (pow a 2)))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))) |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))) |
a |
(* a (+ 1 (* 1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2)))))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(* 1/2 (+ (exp a) (/ 1 (exp a)))) |
(* 1/2 (- (exp a) (/ 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 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(exp b) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
| 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 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) b) a) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
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 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))) |
(+ 1 (+ (exp b) (* 1/2 (pow a 2)))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) a) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) a) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/6 (pow a 2)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) a) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2)))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) a) |
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2)))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (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))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (exp a)) |
(+.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)) |
(+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (exp.f64 b)) |
(log (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(log.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (exp.f64 b))) |
(+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 b)) |
(* 1/2 (+ (exp a) (/ 1 (exp a)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))) |
(* 1/2 (- (exp a) (/ 1 (exp a)))) |
(*.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64)) |
(+ (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 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 (+ (* 1/6 (* 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 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 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 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) |
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ b (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) |
(+.f64 (/.f64 b (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) b (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))))) |
(+ (log (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (* 3 (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (* 1/2 (- (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))) (/ 1 (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ 1 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -3 binary64)) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) b) #s(literal 1/6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) b (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (exp.f64 a)) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))))) |
(+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a)))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(exp b) |
(exp.f64 b) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 136 |
| 0 | 50 | 136 |
| 1 | 186 | 130 |
| 2 | 1503 | 130 |
| 0 | 8136 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #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 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) |
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
(+.f64 (cosh.f64 a) (exp.f64 b)) |
(cosh.f64 a) |
(sinh.f64 a) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
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#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
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(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 (neg.f64 a))) |
(exp.f64 a) |
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(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(+.f64 (sinh.f64 a) (cosh.f64 a)) |
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#s(approx (exp a) #s(literal 1 binary64)) |
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(exp.f64 b) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 b)) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) (*.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (cosh.f64 a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cosh.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (cosh.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 a)) b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 a)) b) #s(literal 2 binary64)))) (sinh.f64 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) b) #s(literal 2 binary64)))) (sinh.f64 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a (neg.f64 b)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a (neg.f64 b)) #s(literal 2 binary64)))) (sinh.f64 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a b) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a b) #s(literal 2 binary64)))) (sinh.f64 b)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (cosh.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (cosh.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (exp.f64 b)))))) |
(+.f64 (+.f64 (cosh.f64 a) (cosh.f64 b)) (sinh.f64 b)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 (cosh.f64 a) (exp.f64 b))) (/.f64 (*.f64 (neg.f64 (exp.f64 b)) (exp.f64 b)) (-.f64 (cosh.f64 a) (exp.f64 b)))) |
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (cosh.f64 a))) |
(+.f64 (cosh.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (cosh.f64 a)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 a)))) |
(cosh.f64 (neg.f64 (neg.f64 a))) |
(cosh.f64 (neg.f64 a)) |
(cosh.f64 a) |
(+.f64 (/.f64 (cosh.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 a) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64)) |
(sinh.f64 a) |
(-.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 a) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 a) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) |
Compiled 19 562 to 2 529 computations (87.1% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 604 | 15 | 619 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 606 | 23 | 629 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.9% | (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))))) | |
| ✓ | 51.7% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| 51.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 48.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 47.9% | (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))))) | |
| 47.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ▶ | 47.7% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 67.4% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) | |
| 67.4% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) | |
| ✓ | 98.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| ▶ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| 57.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) | |
| 48.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 49.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 45.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ▶ | 46.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 98.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) | |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) | |
| ▶ | 98.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
| ▶ | 47.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
| 46.9% | #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))))) | |
| 46.6% | #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 891 to 595 computations (33.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (exp a))) (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)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) | |
| cost-diff | 0 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| 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 | (neg.f64 b) | |
| cost-diff | 0 | (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| cost-diff | 0 | #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 310 |
| 0 | 72 | 310 |
| 1 | 106 | 310 |
| 2 | 195 | 310 |
| 3 | 491 | 310 |
| 4 | 1427 | 310 |
| 5 | 6942 | 310 |
| 0 | 9492 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(neg.f64 b) |
b |
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
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)) |
#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 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ 1 (exp a))) (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)))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b)))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b)) |
(neg.f64 b) |
b |
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.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)) |
#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 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ 1 (exp a))) (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)))) |
#s(approx (log (+ 1 (exp a))) (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)))) |
(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))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| accuracy | 32.47119808075735 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 32.114328521965945 | #s(approx (log (+ 1 (exp a))) (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)))) | |
| accuracy | 32.38794123959903 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) | |
| accuracy | 0.01171875 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| accuracy | 3.196923401025261 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| accuracy | 29.561701491163614 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 32.47119808075735 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| accuracy | 32.38794123959903 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 32.47119808075735 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 a)) | |
| accuracy | 0.08984375 | (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| accuracy | 0.1015625 | (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
| 110.0ms | 50× | 2 | valid |
| 44.0ms | 70× | 1 | valid |
| 42.0ms | 136× | 0 | valid |
Compiled 212 to 32 computations (84.9% saved)
ival-mult: 70.0ms (41.2% of total)ival-exp: 26.0ms (15.3% of total)adjust: 23.0ms (13.5% of total)ival-log: 22.0ms (12.9% of total)ival-add: 13.0ms (7.6% of total)ival-div: 6.0ms (3.5% of total)const: 5.0ms (2.9% of total)ival-sub: 2.0ms (1.2% of total)ival-log1p: 2.0ms (1.2% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(neg.f64 b) |
#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 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#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 (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))))) |
#s(approx (log (+ 1 (exp a))) (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)))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
| 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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a)))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a 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))))))) |
1/2 |
(+ 1/2 (* 1/8 a)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(* -1 (/ (log 2) b)) |
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b))) |
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b))))) |
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b))))) |
1/8 |
(+ 1/8 (* -1/192 (pow a 2))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(* -1/192 (pow a 4)) |
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)) |
(* -1/192 (pow a 3)) |
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(* -1 (/ (log (+ 1 (exp a))) b)) |
(* -1/192 (pow a 2)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))) |
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) |
(+ (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 b) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(exp b) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8)) |
| 25.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8)) |
| 18.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8)) |
| 16.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8)) |
| 13.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (neg b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (/ (log (+ 1 (exp a))) (neg b)) (+ 1 (exp a)) (+ (* (* a a) -1/192) 1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 935 |
| 1 | 797 | 898 |
| 2 | 3017 | 876 |
| 0 | 8382 | 783 |
| 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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a)))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a 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))))))) |
1/2 |
(+ 1/2 (* 1/8 a)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(* -1 (/ (log 2) b)) |
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b))) |
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b))))) |
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b))))) |
1/8 |
(+ 1/8 (* -1/192 (pow a 2))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(log (+ 1 (exp a))) |
(exp a) |
(+ (exp a) (exp b)) |
(* -1/192 (pow a 4)) |
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)) |
(* -1/192 (pow a 3)) |
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(* -1 (/ (log (+ 1 (exp a))) b)) |
(* -1/192 (pow a 2)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))) |
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) |
(+ (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 b) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) 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 #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 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))) |
(+ (* -1 (* a (* b (- 1/4 (* 1/2 (/ 1 b)))))) (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))) |
(*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* 1/8 a)))) |
(fma.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))) |
(+ (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) (* a (+ (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (* a (+ 1/8 (* 1/48 (* a b))))))) |
(fma.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 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))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 a)) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) 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 (/ (log 2) b)) |
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) |
(+ (* -1 (/ (log 2) b)) (* -1/2 (/ a b))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 (log.f64 #s(literal 2 binary64)))) b) |
(+ (* -1 (/ (log 2) b)) (* a (- (* -1/8 (/ a b)) (* 1/2 (/ 1 b))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) a #s(literal -1/2 binary64)) b) a (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) |
(+ (* -1 (/ (log 2) b)) (* a (- (* a (- (* 1/192 (/ (pow a 2) b)) (* 1/8 (/ 1 b)))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) b) a (/.f64 #s(literal -1/2 binary64) b)) a (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/192 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (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))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.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)) |
(* -1/192 (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64)) |
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -1/192 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64)) |
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64))) |
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(* -1 (/ (log (+ 1 (exp a))) b)) |
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) |
(* -1/192 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -1/192 binary64)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a) |
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 a a)) #s(literal -1 binary64) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(+ (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 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 (+ (* 1/6 (* 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 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(* -1 b) |
(neg.f64 b) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 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)) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(exp b) |
(exp.f64 b) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 249 |
| 0 | 72 | 249 |
| 1 | 258 | 249 |
| 2 | 1887 | 246 |
| 0 | 9223 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(neg.f64 b) |
#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 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#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 (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))))) |
#s(approx (log (+ 1 (exp a))) (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)))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b)))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (neg.f64 b) (neg.f64 b))) |
(*.f64 (/.f64 (neg.f64 b) (neg.f64 b)) (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b)) (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b))) |
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 b)) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(*.f64 b (neg.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (neg.f64 b))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 b))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b))) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b))) (neg.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (neg.f64 b)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 b)) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b) (neg.f64 b)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)))) |
(/.f64 (*.f64 (neg.f64 b) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b))) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)) b)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 b))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) |
(*.f64 (neg.f64 b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 b)) |
(neg.f64 b) |
#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))) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #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))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))))))) |
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(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))) |
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(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/192 binary64) a))) |
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 a a))) |
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a))) |
Compiled 14 014 to 1 615 computations (88.5% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 9 | 331 |
| Fresh | 5 | 8 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 328 | 26 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 51.9% | (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))))) |
| ✓ | 51.7% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| 51.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 48.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 47.9% | (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))))) | |
| 47.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ✓ | 47.7% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 48.5% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))))) | |
| 48.5% | #s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))))) | |
| ✓ | 98.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| ✓ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| ▶ | 46.7% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| ▶ | 47.8% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| ▶ | 57.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
| 48.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 49.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ▶ | 45.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 46.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) | |
| 48.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) | |
| 47.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))) | |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) | |
| ✓ | 47.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
| 46.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 46.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
Compiled 1 176 to 743 computations (36.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 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 | (*.f64 #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 383 |
| 0 | 76 | 378 |
| 1 | 128 | 378 |
| 2 | 254 | 374 |
| 3 | 678 | 374 |
| 4 | 2253 | 370 |
| 0 | 8163 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
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 |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
b |
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
a |
#s(literal 1/2 binary64) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 a (*.f64 #s(literal 1/48 binary64) a)) |
a |
(*.f64 #s(literal 1/48 binary64) a) |
#s(literal 1/48 binary64) |
b |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 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 (+.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))))) |
(+.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)))) |
(exp.f64 a) |
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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
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 |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b) |
b |
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
a |
#s(literal 1/2 binary64) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b)) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)) b) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)) b) |
(*.f64 a (*.f64 #s(literal 1/48 binary64) a)) |
(*.f64 (*.f64 #s(literal 1/48 binary64) a) a) |
a |
(*.f64 #s(literal 1/48 binary64) a) |
#s(literal 1/48 binary64) |
b |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 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 (+.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))))) |
(log.f64 (+.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))) |
(+.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)))) |
(+.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)) |
(exp.f64 a) |
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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (+.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)))) | |
| accuracy | 2.777533333122276 | #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))) | |
| accuracy | 29.561701491163614 | (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))))) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| accuracy | 5.475058206486168 | (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) | |
| accuracy | 32.24329155825968 | #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) | |
| accuracy | 32.47119808075735 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| accuracy | 31.2106835960536 | #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) | |
| accuracy | 32.47119808075735 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) a) | |
| accuracy | 0.00390625 | (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) | |
| accuracy | 32.38794123959903 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| accuracy | 32.49824069364866 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| accuracy | 0.00390625 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) | |
| accuracy | 1.1757942567782584 | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) | |
| accuracy | 27.36805459347257 | #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
| 65.0ms | 50× | 2 | valid |
| 52.0ms | 70× | 1 | valid |
| 34.0ms | 136× | 0 | valid |
Compiled 231 to 35 computations (84.8% saved)
ival-log: 30.0ms (25.8% of total)adjust: 20.0ms (17.2% of total)ival-add: 18.0ms (15.5% of total)ival-mult: 18.0ms (15.5% of total)ival-exp: 13.0ms (11.2% of total)const: 13.0ms (11.2% of total)ival-div: 2.0ms (1.7% of total)ival-log1p: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#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(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(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))))) |
(+.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)))) |
(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))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
| 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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 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)))))) |
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
(* -1/4 b) |
(+ (* -1/4 b) (* 1/48 (* (pow a 2) 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))))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* -1/4 (* a b)) |
(* a (+ (* -1/4 b) (* 1/2 (/ b a)))) |
(* 1/48 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3)))))) |
(* 1/48 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(+ (exp a) (exp b)) |
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b)))) |
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))) |
(+ (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)))))) |
(* b (+ 1/2 (* -1/4 a))) |
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))) |
(* b (- (* 1/48 (pow a 2)) 1/4)) |
(+ 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)))))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(exp b) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2))) |
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2)) |
| 24.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2)) |
| 23.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2)) |
| 10.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2)) |
| 4.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* b (+ (* -1/4 a) 1/2)) (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (exp a) (/ b (+ (exp a) 1)) (+ (* 1/6 b) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 829 |
| 1 | 791 | 792 |
| 2 | 3079 | 741 |
| 0 | 8394 | 657 |
| 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) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 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)))))) |
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
(* -1/4 b) |
(+ (* -1/4 b) (* 1/48 (* (pow a 2) 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))))))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* -1/4 (* a b)) |
(* a (+ (* -1/4 b) (* 1/2 (/ b a)))) |
(* 1/48 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3)))))) |
(* 1/48 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(+ (exp a) (exp b)) |
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b)))) |
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))) |
(+ (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)))))) |
(* b (+ 1/2 (* -1/4 a))) |
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))) |
(* b (- (* 1/48 (pow a 2)) 1/4)) |
(+ 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)))))) |
1/2 |
(+ 1/2 (* 1/6 b)) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(exp b) |
(* 1/6 b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2))) |
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))) |
| 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 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b) |
(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 a #s(literal -1 binary64)) |
(+ 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)) |
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b) |
(* -1/4 b) |
(*.f64 #s(literal -1/4 binary64) b) |
(+ (* -1/4 b) (* 1/48 (* (pow a 2) b))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b) |
(+ 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))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (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))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.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 a #s(literal -1 binary64)) |
(* -1/4 (* a b)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) a) b) |
(* a (+ (* -1/4 b) (* 1/2 (/ b a)))) |
(*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a) |
(* 1/48 (* (pow a 3) b)) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal 1/48 binary64)) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))) |
(* 1/48 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64)) |
(* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))) |
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 a a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b)))) |
(*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a) |
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))) |
(*.f64 (*.f64 b (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))) |
(+ (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 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 (+ (* 1/6 (* 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 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(* b (+ 1/2 (* -1/4 a))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b) |
(* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b) |
(* b (- (* 1/48 (pow a 2)) 1/4)) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ 1 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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 b)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(exp b) |
(exp.f64 b) |
(* 1/6 b) |
(*.f64 #s(literal 1/6 binary64) b) |
(* b (+ 1/6 (* 1/2 (/ 1 b)))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64))) |
(* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 308 |
| 0 | 76 | 303 |
| 1 | 304 | 303 |
| 2 | 2252 | 303 |
| 0 | 8211 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#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(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(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))))) |
(+.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)))) |
(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))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)) |
Compiled 14 422 to 1 704 computations (88.2% saved)
28 alts after pruning (16 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 6 | 339 |
| Fresh | 2 | 10 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 337 | 28 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ✓ | 51.9% | (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))))) |
| ✓ | 51.7% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| 51.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ✓ | 48.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 47.9% | (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))))) | |
| 47.9% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ✓ | 47.7% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| ✓ | 98.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| ✓ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| 24.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 47.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| ✓ | 57.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
| 26.8% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 46.6% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 46.8% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) | |
| 48.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 49.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ✓ | 45.2% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 46.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) | |
| 48.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) | |
| 47.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))) | |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) | |
| ✓ | 47.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
| 46.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 46.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
Compiled 1 917 to 789 computations (58.8% 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#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))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(log.f64 (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))) (pow.f64 (*.f64 (*.f64 a b) (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))))) |
#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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:
| 11.0ms | b |
| 10.0ms | a |
| 8.0ms | (exp.f64 a) |
| 8.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 8.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (exp.f64 b) |
| 98.1% | 1 | (exp.f64 a) |
| 98.1% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.1% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.1% | 1 | a |
| 98.1% | 1 | 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
6 calls:
| 8.0ms | b |
| 8.0ms | a |
| 7.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 2 | (exp.f64 b) |
| 57.2% | 1 | (exp.f64 a) |
| 58.8% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 58.8% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.2% | 1 | a |
| 58.8% | 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 #s(approx (/ (log (+ 1 (exp a))) (neg b)) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
6 calls:
| 9.0ms | b |
| 7.0ms | a |
| 6.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 1 | (exp.f64 a) |
| 57.2% | 1 | a |
| 57.2% | 1 | (exp.f64 b) |
| 57.2% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.2% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.2% | 1 | 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
6 calls:
| 6.0ms | a |
| 6.0ms | b |
| 5.0ms | (exp.f64 b) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (exp.f64 b) |
| 51.2% | 1 | (exp.f64 a) |
| 51.2% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 51.2% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.2% | 1 | a |
| 51.2% | 1 | 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(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))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
6 calls:
| 6.0ms | a |
| 6.0ms | b |
| 5.0ms | (exp.f64 b) |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 2 | (exp.f64 b) |
| 51.1% | 2 | (exp.f64 a) |
| 51.1% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 51.1% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.5% | 2 | b |
| 51.1% | 2 | a |
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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 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))) |
(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))))) |
6 calls:
| 6.0ms | (exp.f64 a) |
| 5.0ms | b |
| 5.0ms | a |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 1 | (exp.f64 a) |
| 49.4% | 1 | a |
| 49.4% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 49.4% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 49.4% | 1 | (exp.f64 b) |
| 51.0% | 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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)))) |
#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 (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 #s(literal -1/4 binary64) a) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (* b (+ (* -1/4 a) 1/2)) (*.f64 (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) a))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) #s(approx (+ (* (+ (* (* a (* 1/48 a)) b) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/48 binary64) a)) b (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) b) (-.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 1/2 binary64)))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (* (neg b) (- (/ (log (+ 1 (exp a))) (neg b)) (/ 1 (+ 1 (exp a))))) (*.f64 (neg.f64 b) (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 5.0ms | a |
| 5.0ms | b |
| 5.0ms | (exp.f64 a) |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | (exp.f64 a) |
| 48.1% | 1 | (exp.f64 b) |
| 48.1% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 48.1% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.1% | 1 | a |
| 48.1% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
Total -1.3b remaining (-3.7%)
Threshold costs -1.3b (-3.7%)
| 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 (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
6 calls:
| 2.0ms | a |
| 2.0ms | 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 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 1 | (exp.f64 b) |
| 46.8% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 46.8% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 46.8% | 1 | (exp.f64 a) |
| 46.8% | 1 | b |
| 46.8% | 1 | a |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -2.112684609812429e-11 | -3.6602235491543344e-19 |
| 9.0ms | 70× | 1 | valid |
| 4.0ms | 74× | 0 | valid |
Compiled 252 to 227 computations (9.9% saved)
ival-exp: 3.0ms (34.4% of total)ival-log: 3.0ms (34.4% of total)adjust: 1.0ms (11.5% of total)ival-add: 1.0ms (11.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.6154675347478005e-143 | 1.3777850259221079e-142 |
| 9.0ms | 47× | 1 | valid |
| 3.0ms | 49× | 0 | valid |
Compiled 129 to 131 computations (-1.6% saved)
ival-log: 5.0ms (53.6% of total)ival-exp: 3.0ms (32.2% of total)adjust: 1.0ms (10.7% of total)ival-add: 1.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6154675347478005e-143 | 1.3777850259221079e-142 |
Compiled 183 to 161 computations (12% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 173 |
| 1 | 67 | 173 |
| 2 | 93 | 173 |
| 3 | 169 | 173 |
| 4 | 582 | 173 |
| 5 | 5252 | 173 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 b #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #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)))) |
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 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 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (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 (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#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))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 b #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #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)))) |
(if (<=.f64 b #s(literal 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 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 686479766013061/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (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 (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#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 | 262 | 1241 |
| 1 | 868 | 1218 |
| 2 | 3471 | 1197 |
| 0 | 8467 | 1058 |
| 0 | 99 | 370 |
| 1 | 317 | 370 |
| 2 | 1186 | 366 |
| 3 | 5037 | 366 |
| 0 | 8217 | 320 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 173 to 56 computations (67.6% saved)
Compiled 392 to 150 computations (61.7% saved)
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