
Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 2.0s | 6 752× | 5 | exit |
| 780.0ms | 1 509× | 2 | valid |
| 572.0ms | 2 427× | 1 | valid |
| 286.0ms | 4 320× | 0 | valid |
| 97.0ms | 953× | 1 | exit |
ival-log: 1.1s (39.6% of total)ival-exp: 791.0ms (29.7% of total)adjust: 521.0ms (19.6% of total)ival-add: 275.0ms (10.3% of total)ival-true: 13.0ms (0.5% of total)ival-assert: 7.0ms (0.3% of total)| 1× | egg-herbie |
| 24× | sub-neg |
| 22× | +-commutative |
| 16× | exp-diff |
| 16× | exp-sum |
| 14× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 32 | 36 |
| 2 | 46 | 36 |
| 3 | 55 | 36 |
| 4 | 66 | 36 |
| 5 | 83 | 36 |
| 6 | 98 | 36 |
| 7 | 106 | 36 |
| 8 | 109 | 36 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 11 | 6 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 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 | 117 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 6 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 6 | |
| ↳ | (exp.f64 b) | overflow | 6 | |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 2 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 122 | |
| ↳ | (exp.f64 b) | underflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 0 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 0 | 0 | 131 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 98× | 2 | valid |
| 49.0ms | 126× | 1 | valid |
| 20.0ms | 288× | 0 | valid |
Compiled 54 to 28 computations (48.1% saved)
ival-exp: 47.0ms (47.3% of total)ival-log: 38.0ms (38.2% of total)ival-add: 7.0ms (7% of total)adjust: 6.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (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))) |
| 4× | lift-exp.f64 |
| 4× | lower-+.f32 |
| 4× | lower-exp.f32 |
| 2× | lift-+.f64 |
| 2× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 11 | 17 |
| 0 | 11 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | accuracy | 55.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 31.0ms | 49× | 2 | valid |
| 12.0ms | 63× | 1 | valid |
| 9.0ms | 144× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-log: 20.0ms (46.2% of total)ival-exp: 13.0ms (30% of total)adjust: 8.0ms (18.5% of total)ival-add: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))> |
#<alt (+.f64 (exp.f64 a) (exp.f64 b))> |
#<alt (exp.f64 a)> |
#<alt (exp.f64 b)> |
| Outputs |
|---|
#<alt (log (+ 1 (exp b)))> |
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))> |
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))> |
#<alt (+ (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))))))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))> |
#<alt (+ (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))))))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (log (+ (exp a) (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (+ b (exp a)))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | inf | (log (+ (exp a) (exp b))) |
| 20.0ms | b | @ | -inf | (log (+ (exp a) (exp b))) |
| 20.0ms | a | @ | -inf | (log (+ (exp a) (exp b))) |
| 17.0ms | b | @ | inf | (log (+ (exp a) (exp b))) |
| 1.0ms | a | @ | 0 | (log (+ (exp a) (exp b))) |
| 1× | batch-egg-rewrite |
| 812× | lower-*.f64 |
| 812× | lower-*.f32 |
| 800× | lower-fma.f64 |
| 800× | lower-fma.f32 |
| 614× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 24 | 15 |
| 2 | 150 | 15 |
| 0 | 1409 | 15 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (fma.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (fma.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) (+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b)))))) |
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))) |
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) a (+.f64 a a))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) |
(exp.f64 a) |
(exp.f64 b) |
| 1× | egg-herbie |
| 18 508× | lower-fma.f64 |
| 18 508× | lower-fma.f32 |
| 5 052× | lower-+.f64 |
| 5 052× | lower-+.f32 |
| 4 904× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 757 | 556 |
| 3 | 2515 | 548 |
| 0 | 8549 | 500 |
| 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 (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(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)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (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))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ 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))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
| Outputs |
|---|
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))))))) (log1p.f64 (exp.f64 b))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (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 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (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 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))))) (log1p.f64 (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
Compiled 2 882 to 386 computations (86.6% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 12 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 13 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 97.6% | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
| 55.8% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) | |
| 51.6% | (log1p.f64 (exp.f64 b)) | |
| ▶ | 51.9% | (log1p.f64 (exp.f64 a)) |
| 50.7% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) | |
| ▶ | 52.0% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 50.4% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
| 54.2% | (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 53.9% | (log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 53.3% | (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) | |
| ✓ | 55.8% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 51.6% | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
Compiled 296 to 208 computations (29.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 a)) |
| ✓ | cost-diff | 0 | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 a)) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
| 172× | lower-fma.f32 |
| 168× | lower-fma.f64 |
| 112× | lower-+.f32 |
| 100× | lower-+.f64 |
| 62× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 106 |
| 0 | 36 | 106 |
| 1 | 57 | 106 |
| 2 | 84 | 106 |
| 3 | 128 | 106 |
| 4 | 148 | 106 |
| 5 | 151 | 106 |
| 0 | 151 | 100 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(exp.f64 b) |
b |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) a) |
(+.f64 a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
a |
(exp.f64 b) |
b |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 b) |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)) |
| ✓ | accuracy | 97.7% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) a) |
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)) |
| ✓ | accuracy | 97.7% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | accuracy | 97.7% | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | accuracy | 100.0% | (log1p.f64 (exp.f64 a)) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| ✓ | accuracy | 100.0% | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| 25.0ms | 136× | 0 | valid |
| 20.0ms | 120× | 0 | invalid |
Compiled 121 to 23 computations (81% saved)
ival-add: 9.0ms (30.9% of total)ival-log: 5.0ms (17.2% of total)ival-log1p: 5.0ms (17.2% of total)ival-exp: 4.0ms (13.7% of total)ival-mult: 3.0ms (10.3% of total)ival-div: 2.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))> |
#<alt (log1p.f64 (exp.f64 a))> |
#<alt (exp.f64 a)> |
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))> |
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))> |
#<alt (exp.f64 b)> |
#<alt (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))> |
#<alt (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))> |
#<alt (+.f64 #s(literal 1 binary64) a)> |
#<alt (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))> |
#<alt (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))> |
#<alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))> |
| Outputs |
|---|
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))> |
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))> |
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))> |
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))> |
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (* 1/2 b)> |
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))> |
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))> |
#<alt (+ (* 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))))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))> |
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (log (+ 1 (exp b)))> |
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))> |
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))> |
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))> |
#<alt (* -1 (log (/ 1 a)))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a)))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a))))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a)))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a))))> |
#<alt (log (+ 2 a))> |
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))> |
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))> |
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (log (+ 1 (+ a (exp b))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt a> |
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))> |
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))> |
#<alt (* a (+ 1 (+ (/ 1 a) (/ (exp b) a))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1)))> |
#<alt (+ 2 a)> |
#<alt (+ 2 (+ a b))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))> |
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))> |
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ -1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a))))> |
#<alt (log (+ 2 (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a))))))> |
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))> |
#<alt (+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))> |
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt 2> |
#<alt (+ 2 a)> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | b | @ | inf | (log (+ (+ 1 a) (exp b))) |
| 35.0ms | a | @ | inf | (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
| 21.0ms | b | @ | inf | (log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b))) |
| 20.0ms | b | @ | -inf | (log (+ (+ (* a (+ (* a 1/2) 1)) 1) (exp b))) |
| 18.0ms | b | @ | inf | (log (+ 1 (exp b))) |
| 1× | batch-egg-rewrite |
| 4 676× | lower-fma.f32 |
| 4 672× | lower-fma.f64 |
| 4 508× | lower-/.f32 |
| 4 506× | lower-/.f64 |
| 3 728× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 84 |
| 0 | 36 | 84 |
| 1 | 148 | 84 |
| 2 | 1286 | 84 |
| 0 | 8691 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp.f64 b) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)) |
(+.f64 #s(literal 1 binary64) a) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(+.f64 (/.f64 b (+.f64 (exp.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))))) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))) |
(-.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 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.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 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))) |
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64) (log1p.f64 (exp.f64 a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))) |
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
| 1× | egg-herbie |
| 10 480× | lower-fma.f64 |
| 10 480× | lower-fma.f32 |
| 5 848× | lower-+.f64 |
| 5 848× | lower-+.f32 |
| 4 528× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 2464 |
| 1 | 1032 | 2405 |
| 2 | 2977 | 2351 |
| 0 | 8343 | 2015 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (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))))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp 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))))))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* 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)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(* -1 (log (/ 1 a))) |
(+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a)))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a))))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a)))) |
(log (+ 2 a)) |
(+ (log (+ 2 a)) (/ b (+ 2 a))) |
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a))))) |
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a))))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(log (+ 1 (+ a (exp b)))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
a |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
a |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(+ 2 a) |
(+ 2 (+ a b)) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ a (exp b))) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 1 a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(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))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log 1/2) (* -2 (log (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))) |
(+ (log 1/2) (* -2 (log (/ -1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a)))) |
(log (+ 2 (* a (+ 1 (* 1/2 a))))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
1 |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
| Outputs |
|---|
(+ (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 #s(literal 1/2 binary64) b (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (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 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (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 a (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(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 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #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 a (fma.f64 a (*.f64 (*.f64 b a) #s(literal 1/48 binary64)) (*.f64 b #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) b)) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 a (fma.f64 a (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b))) |
(* -1 (log (/ 1 a))) |
(log.f64 a) |
(+ (* -1 (log (/ 1 a))) (+ (/ 1 a) (/ (exp b) a))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (log.f64 a) (/.f64 (exp.f64 b) a))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (/ 1 a) (/ (exp b) a)))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (exp.f64 b) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 a a)) (log.f64 a)))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 1 (exp b)) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 1 (exp b)) 3) (pow a 3))) (+ (/ 1 a) (/ (exp b) a))))) |
(+.f64 (log.f64 a) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (exp.f64 b) a))))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (/ 1 a) (/ (exp b) a)))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (exp.f64 b) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* 1/2 (/ (pow (+ 1 (exp b)) 2) a))) a)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) a) (-.f64 #s(literal -1 binary64) (exp.f64 b))) a))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 1 (exp b))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp b)) 2)) (* 1/3 (/ (pow (+ 1 (exp b)) 3) a))) a))) a)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) a) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a))) a)) |
(log (+ 2 a)) |
(log.f64 (+.f64 #s(literal 2 binary64) a)) |
(+ (log (+ 2 a)) (/ b (+ 2 a))) |
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) a)) (/.f64 b (+.f64 #s(literal 2 binary64) a))) |
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a))))) |
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) a))) (log.f64 (+.f64 #s(literal 2 binary64) a))) |
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 a) 3))) (/ 1 (+ 2 a))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) a)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal -3 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) a))) (log.f64 (+.f64 #s(literal 2 binary64) a))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(log (+ 1 (+ a (exp b)))) |
(log1p.f64 (+.f64 a (exp.f64 b))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
a |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (exp.f64 b) a) a)) |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (exp.f64 b) a) a)) |
(* a (+ 1 (+ (/ 1 a) (/ (exp b) a)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 (exp.f64 b) a) a)) |
a |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a) |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a) |
(* -1 (* a (- (* -1 (/ (+ 1 (exp b)) a)) 1))) |
(fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (+ a b)) |
(+.f64 #s(literal 2 binary64) (+.f64 b a)) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)) |
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (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 a (fma.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (* 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 a (fma.f64 a (+.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b))) |
(+ (log 1/2) (* -2 (log (/ 1 a)))) |
(fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 a) (/.f64 #s(literal 2 binary64) a))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 a) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 #s(literal 2 binary64) a)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp b)))) (pow a 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp b))) 4) (pow a 2))) (* 2 (/ 1 a)))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (exp.f64 b) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (exp.f64 b) #s(literal -24 binary64) #s(literal -8 binary64)) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) a))))) |
(+ (log 1/2) (* -2 (log (/ -1 a)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) a) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp b))) 4) a)) 2) a)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (exp.f64 b) #s(literal 4 binary64) #s(literal 0 binary64)) a) #s(literal -2 binary64)) a)) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp b))) 16) a)) (* 1/2 (- (* 4 (+ 1 (exp b))) 4))) a)) 2) a)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (exp.f64 b) #s(literal 24 binary64) #s(literal 8 binary64)) a))) a)) a)) |
(log (+ 2 (* a (+ 1 (* 1/2 a))))) |
(log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (/ b (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+.f64 (log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 b (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))))) |
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+ (log (+ 2 (* a (+ 1 (* 1/2 a))))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 3 (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ 1 (+ 2 (* a (+ 1 (* 1/2 a)))))))) |
(fma.f64 b (fma.f64 b (+.f64 (fma.f64 (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(log (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (fma.f64 a (/.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (fma.f64 a (/.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a)) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (fma.f64 a (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) (neg.f64 a)) a)) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 2 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) b)) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 b))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(+ 1 (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(+ 1 (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
Compiled 20 514 to 2 435 computations (88.1% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 905 | 18 | 923 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 913 | 23 | 936 |
| Status | Accuracy | Program |
|---|---|---|
| 50.6% | (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 50.8% | (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 51.7% | (fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b))) | |
| 49.7% | (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 49.7% | (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 50.9% | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| 49.7% | (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) | |
| 50.4% | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| ▶ | 97.6% | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
| 56.6% | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))) | |
| 52.0% | (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) | |
| ▶ | 50.1% | (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 48.5% | (log1p.f64 (+.f64 a #s(literal 1 binary64))) | |
| ▶ | 51.6% | (log1p.f64 (exp.f64 b)) |
| ✓ | 51.9% | (log1p.f64 (exp.f64 a)) |
| ▶ | 50.0% | (log1p.f64 #s(literal 1 binary64)) |
| 51.0% | (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 50.7% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) | |
| ✓ | 52.0% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 49.3% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 49.4% | (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) | |
| 49.3% | (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) | |
| 50.6% | (log.f64 (+.f64 #s(literal 2 binary64) b)) |
Compiled 520 to 375 computations (27.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 b)) |
| ✓ | cost-diff | 0 | (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 192 | (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 a)) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
| ✓ | cost-diff | 7424 | (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
| 8 950× | lower-fma.f32 |
| 8 942× | lower-fma.f64 |
| 2 520× | lower-*.f32 |
| 2 518× | lower-*.f64 |
| 2 262× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 128 |
| 0 | 54 | 128 |
| 1 | 98 | 122 |
| 2 | 167 | 120 |
| 3 | 369 | 111 |
| 4 | 850 | 111 |
| 5 | 2151 | 111 |
| 6 | 6435 | 111 |
| 0 | 8152 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
b |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(expm1.f64 (+.f64 a a)) |
(+.f64 a a) |
(/.f64 #s(literal 1 binary64) (expm1.f64 a)) |
#s(literal 1 binary64) |
(expm1.f64 a) |
(log1p.f64 #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
b |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(expm1.f64 (+.f64 a a)) |
(+.f64 a a) |
(/.f64 #s(literal 1 binary64) (expm1.f64 a)) |
#s(literal 1 binary64) |
(expm1.f64 a) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(log.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
a |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) a) |
(+.f64 a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
a |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
b |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 98.9% | (log1p.f64 (exp.f64 b)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) a) |
| ✓ | accuracy | 100.0% | (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (log1p.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (expm1.f64 (+.f64 a a)) |
| ✓ | accuracy | 100.0% | (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
| ✓ | accuracy | 100.0% | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
| ✓ | accuracy | 99.8% | (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
| 120.0ms | 133× | 0 | valid |
| 84.0ms | 123× | 0 | invalid |
Compiled 170 to 30 computations (82.4% saved)
ival-log1p: 161.0ms (84.7% of total)ival-add: 9.0ms (4.7% of total)ival-mult: 7.0ms (3.7% of total)ival-exp: 4.0ms (2.1% of total)ival-div: 3.0ms (1.6% of total)ival-expm1: 3.0ms (1.6% of total)ival-log: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))> |
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))))> |
#<alt (log1p.f64 (exp.f64 a))> |
#<alt (exp.f64 a)> |
#<alt (log1p.f64 #s(literal 1 binary64))> |
#<alt (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))> |
#<alt (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) a)> |
#<alt (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (log1p.f64 (exp.f64 b))> |
#<alt (exp.f64 b)> |
#<alt (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))> |
#<alt (expm1.f64 (+.f64 a a))> |
| Outputs |
|---|
#<alt 2> |
#<alt (+ 2 a)> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (* 2 a)) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))> |
#<alt (/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1))> |
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b)))))> |
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))> |
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b)))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))> |
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))> |
#<alt (+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))))> |
#<alt (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))> |
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))> |
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))> |
#<alt (* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1))))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1))))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))> |
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))> |
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))> |
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))> |
#<alt (+ (log 1/2) (* -2 (log (/ -1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt a> |
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))> |
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))> |
#<alt (* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1)))> |
#<alt (+ 2 a)> |
#<alt (+ 2 (+ a b))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2))))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))> |
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b))))> |
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))> |
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))> |
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))> |
#<alt (* -1 (log (/ 1 a)))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))> |
#<alt (+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a))))> |
#<alt (log (+ 2 a))> |
#<alt (+ (log (+ 2 a)) (/ b (+ 2 a)))> |
#<alt (+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a)))))> |
#<alt (+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a)))))> |
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt (+ 1 a)> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt a> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt (* a (+ 1 (/ 1 a)))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))> |
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt (log (+ 1 (exp b)))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (* 1/2 b)> |
#<alt (+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b))))> |
#<alt (+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b))))> |
#<alt (+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b)))))))))) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b))))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))> |
#<alt (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))> |
#<alt (* 2 a)> |
#<alt (* a (+ 2 (* 2 a)))> |
#<alt (* a (+ 2 (* a (+ 2 (* 4/3 a)))))> |
#<alt (* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))> |
#<alt (- (exp (* 2 a)) 1)> |
#<alt (- (exp (* 2 a)) 1)> |
#<alt (- (exp (* 2 a)) 1)> |
#<alt (- (exp (* 2 a)) 1)> |
#<alt (- (exp (neg (* -2 a))) 1)> |
#<alt (- (exp (neg (* -2 a))) 1)> |
#<alt (- (exp (neg (* -2 a))) 1)> |
#<alt (- (exp (neg (* -2 a))) 1)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1))))) |
| 1.0ms | a | @ | inf | (+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1))))) |
| 1.0ms | a | @ | -inf | (+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1))))) |
| 1.0ms | b | @ | 0 | (+ (log (+ 1 (exp a))) (/ b (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1))))) |
| 1.0ms | a | @ | -inf | (* (- (exp (+ a a)) 1) (/ 1 (- (exp a) 1))) |
| 1× | batch-egg-rewrite |
| 5 212× | lower-*.f32 |
| 5 210× | lower-*.f64 |
| 3 988× | lower-/.f32 |
| 3 984× | lower-/.f64 |
| 3 278× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 54 | 97 |
| 1 | 240 | 88 |
| 2 | 2206 | 88 |
| 0 | 8890 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log1p.f64 #s(literal 1 binary64)) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) a) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
(/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(expm1.f64 (+.f64 a a)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (expm1.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (expm1.f64 a)))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 a a)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (*.f64 (neg.f64 (expm1.f64 a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) (*.f64 (neg.f64 (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (expm1.f64 a)) (*.f64 (expm1.f64 a) (expm1.f64 a))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (neg.f64 (neg.f64 (expm1.f64 a)))) (expm1.f64 a)) (*.f64 (expm1.f64 a) (neg.f64 (neg.f64 (expm1.f64 a))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (neg.f64 (expm1.f64 a))) (*.f64 (expm1.f64 a) #s(literal -1 binary64))) (*.f64 (expm1.f64 a) (neg.f64 (expm1.f64 a)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (expm1.f64 (+.f64 a a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (+.f64 a a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.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 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (*.f64 (*.f64 b b) (pow.f64 (+.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)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)) (log1p.f64 (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (fma.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (-.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (+.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 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.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))))) |
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(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
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(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
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(pow.f64 (exp.f64 #s(literal 1 binary64)) b) |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(*.f64 (exp.f64 b) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (/.f64 b (expm1.f64 (+.f64 a a))))) |
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(/.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
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(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a)) |
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(*.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal 1 binary64)) (expm1.f64 a)) |
(*.f64 (/.f64 (/.f64 b (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a))) |
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(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 a a))) |
(-.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
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(expm1.f64 (+.f64 a a)) |
(expm1.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 a #s(literal 3 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a)) |
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(expm1.f64 (*.f64 (+.f64 a a) #s(literal 3/2 binary64))) |
(expm1.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (+.f64 a (*.f64 a #s(literal 3 binary64)))) |
(expm1.f64 (fma.f64 a #s(literal 3 binary64) a)) |
(expm1.f64 (fma.f64 a #s(literal 3 binary64) (*.f64 a #s(literal 3 binary64)))) |
(expm1.f64 (+.f64 a (+.f64 a a))) |
(expm1.f64 (+.f64 (+.f64 a a) a)) |
(expm1.f64 (fma.f64 (+.f64 a a) #s(literal 3 binary64) (*.f64 (+.f64 a a) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 a) (exp.f64 a) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a #s(literal 3/2 binary64))) (exp.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64)) |
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(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 a a)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 (+.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)) |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (expm1.f64 (+.f64 a a))) |
| 1× | egg-herbie |
| 9 178× | lower-fma.f64 |
| 9 178× | lower-fma.f32 |
| 5 086× | lower-+.f64 |
| 5 086× | lower-+.f32 |
| 4 268× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 2600 |
| 1 | 1164 | 2491 |
| 2 | 3312 | 2409 |
| 0 | 8256 | 1914 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(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))))))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a)))))) |
(+ (log 1/2) (* -2 (log (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) |
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3)))) |
(+ (log 1/2) (* -2 (log (/ -1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a)))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
1 |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
a |
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))) |
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))) |
(* a (+ 1 (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))) |
a |
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) a)) 1))) |
(+ 2 a) |
(+ 2 (+ a b)) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ a (* b (+ 1 (* 1/2 b))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2)))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 2 (pow b 2)) (/ a (pow b 2)))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b)))) |
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 a) b)) 1) b)))) |
(log (+ 2 (* b (+ 1 (* 1/2 b))))) |
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b)))))) |
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* -1/2 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))))) |
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (- (* 1/3 (/ a (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))))) |
(* -1 (log (/ 1 a))) |
(+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))) |
(+ (* -1 (log (/ 1 a))) (+ (* -1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) (pow a 2))) (+ (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) (pow a 3))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a))))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ (* b (+ 1 (* 1/2 b))) a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* 1/2 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2) a))) a)))) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a)))) |
(log (+ 2 a)) |
(+ (log (+ 2 a)) (/ b (+ 2 a))) |
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a))))) |
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a))))) |
(+ (log 1/2) (* -2 (log (/ 1 b)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))) |
(+ (log 1/2) (* -2 (log (/ -1 b)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b)))) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 1 a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b)))))))))) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(* 2 a) |
(* a (+ 2 (* 2 a))) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (neg (* -2 a))) 1) |
(- (exp (neg (* -2 a))) 1) |
(- (exp (neg (* -2 a))) 1) |
(- (exp (neg (* -2 a))) 1) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (* 2 a)) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/ (- (exp (neg (* -2 a))) 1) (- (exp a) 1)) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(+ (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)) (* 1/2 b))))) |
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (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) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (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) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(fma.f64 a (fma.f64 a (+.f64 #s(literal 1/8 binary64) (fma.f64 a (fma.f64 b #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1))) |
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(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))) a) (fma.f64 b (fma.f64 b #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) |
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (+ 2 (* b (+ 1 (* 1/2 b))))) (* -1 (/ (+ (* -1/2 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)) (* 1/3 (/ (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3) a))) a))) a)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))) a) (*.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) a)) a)) |
(log (+ 2 a)) |
(log.f64 (+.f64 #s(literal 2 binary64) a)) |
(+ (log (+ 2 a)) (/ b (+ 2 a))) |
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) a)) (/.f64 b (+.f64 #s(literal 2 binary64) a))) |
(+ (log (+ 2 a)) (* b (+ (* 1/2 (* b (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2))))) (/ 1 (+ 2 a))))) |
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) a))) (log.f64 (+.f64 #s(literal 2 binary64) a))) |
(+ (log (+ 2 a)) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 2 a) 3))) (* 3 (/ 1 (pow (+ 2 a) 2)))))) (* 1/2 (- (/ 1 (+ 2 a)) (/ 1 (pow (+ 2 a) 2)))))) (/ 1 (+ 2 a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (-.f64 #s(literal -2 binary64) a))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) a) (+.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) a))) (log.f64 (+.f64 #s(literal 2 binary64) a))) |
(+ (log 1/2) (* -2 (log (/ 1 b)))) |
(fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (/.f64 #s(literal 2 binary64) b))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 2 a))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 2 a)) 4) (pow b 2))) (* 2 (/ 1 b)))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (*.f64 a #s(literal -24 binary64))) (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (log.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) b))))) |
(+ (log 1/2) (* -2 (log (/ -1 b)))) |
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b)))) |
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (+.f64 (/.f64 #s(literal 2 binary64) b) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 2 a)) 4) b)) 2) b)))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) b) #s(literal -2 binary64)) b)) |
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 2 a)) 16) b)) (* 1/2 (- (* 4 (+ 2 a)) 4))) b)) 2) b)))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a #s(literal 24 binary64) #s(literal 32 binary64))) b)) b)) b)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow b 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow b 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b)))))))))) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal 1/48 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 b #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) b)) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(/ (* b (- (exp a) 1)) (- (exp (neg (* -2 a))) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (+.f64 a a))) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (+ 2 (* 2 a))) |
(*.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64))) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(*.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 2/3 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (neg (* -2 a))) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (neg (* -2 a))) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (neg (* -2 a))) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (neg (* -2 a))) 1) |
(expm1.f64 (+.f64 a a)) |
Compiled 21 759 to 2 219 computations (89.8% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 728 | 6 | 734 |
| Fresh | 3 | 13 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 732 | 25 | 757 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.6% | (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| 50.8% | (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 51.7% | (fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b))) | |
| 49.7% | (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 49.7% | (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| ▶ | 49.7% | (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| 50.9% | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| ▶ | 50.4% | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| ▶ | 97.4% | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
| 51.4% | (+.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) | |
| 49.3% | (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) | |
| 52.0% | (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) | |
| ✓ | 50.1% | (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 48.5% | (log1p.f64 (+.f64 a #s(literal 1 binary64))) | |
| 50.6% | (log1p.f64 (+.f64 #s(literal 1 binary64) b)) | |
| ✓ | 51.6% | (log1p.f64 (exp.f64 b)) |
| ✓ | 51.9% | (log1p.f64 (exp.f64 a)) |
| ✓ | 50.0% | (log1p.f64 #s(literal 1 binary64)) |
| 51.0% | (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 50.7% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) | |
| ✓ | 52.0% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ✓ | 49.3% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 49.4% | (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) | |
| ▶ | 50.6% | (log.f64 (+.f64 #s(literal 2 binary64) b)) |
| 2.4% | (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
Compiled 519 to 369 computations (28.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| ✓ | cost-diff | 0 | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) b) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 #s(literal 2 binary64) b)) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 a)) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
| ✓ | cost-diff | 512 | (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
| 646× | lower-fma.f32 |
| 638× | lower-fma.f64 |
| 342× | lower-*.f32 |
| 340× | lower-*.f64 |
| 182× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 138 |
| 0 | 47 | 138 |
| 1 | 78 | 138 |
| 2 | 144 | 138 |
| 3 | 242 | 138 |
| 4 | 321 | 138 |
| 5 | 444 | 138 |
| 6 | 502 | 138 |
| 7 | 539 | 138 |
| 8 | 568 | 138 |
| 9 | 605 | 138 |
| 10 | 632 | 138 |
| 11 | 632 | 138 |
| 0 | 632 | 136 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
b |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(exp.f64 (+.f64 a a)) |
(+.f64 a a) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
b |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
b |
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 b b) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(exp.f64 (+.f64 a a)) |
(+.f64 a a) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log.f64 (+.f64 b #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) b) |
(+.f64 b #s(literal 2 binary64)) |
#s(literal 2 binary64) |
b |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
b |
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) |
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 b b) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) b) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 #s(literal 2 binary64) b)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 a)) |
| ✓ | accuracy | 100.0% | (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
| 57.0ms | 254× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 151 to 31 computations (79.5% saved)
ival-add: 10.0ms (24.6% of total)ival-mult: 8.0ms (19.7% of total)ival-log: 6.0ms (14.8% of total)ival-div: 5.0ms (12.3% of total)ival-exp: 5.0ms (12.3% of total)const: 4.0ms (9.8% of total)ival-log1p: 3.0ms (7.4% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))> |
#<alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))> |
#<alt (log1p.f64 (exp.f64 a))> |
#<alt (exp.f64 a)> |
#<alt (log.f64 (+.f64 #s(literal 2 binary64) b))> |
#<alt (+.f64 #s(literal 2 binary64) b)> |
#<alt (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))> |
#<alt (log.f64 #s(literal 2 binary64))> |
#<alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 a))> |
#<alt (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))> |
#<alt (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64))> |
#<alt (*.f64 b b)> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))> |
| Outputs |
|---|
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt b> |
#<alt (+ b (* a (- b (* 1/2 b))))> |
#<alt (+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))> |
#<alt (+ b (* a (- (+ b (* a (- (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b))))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))> |
#<alt (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))> |
#<alt (+ b (log 2))> |
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 b) (* 1/2 b)))))> |
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 b) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))> |
#<alt (+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b)))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))> |
#<alt (+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))> |
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))> |
#<alt (+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))> |
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))> |
#<alt (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a)))))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))> |
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt (log (+ 1 (exp a)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (* b (+ 1/2 (* -1/8 b))))> |
#<alt (+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))> |
#<alt (* -1 (log (/ 1 b)))> |
#<alt (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))> |
#<alt (- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))> |
#<alt (- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 b))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (+ (log 2) (* 1/2 a))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ (log 2) a)))> |
#<alt (* a (+ 1/2 (/ (log 2) a)))> |
#<alt (* a (+ 1/2 (/ (log 2) a)))> |
#<alt (* 1/2 a)> |
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))> |
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))> |
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (* 1/2 b)> |
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))> |
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))> |
#<alt (+ (* 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))))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt (/ b (+ 1 (exp a)))> |
#<alt 2> |
#<alt (+ 2 a)> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 b))> |
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))> |
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))> |
#<alt (* -1/192 (pow b 4))> |
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))> |
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))> |
#<alt (* -1/192 (pow b 4))> |
#<alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))> |
#<alt (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 b))> |
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))> |
#<alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))> |
#<alt (* -1/192 (pow b 3))> |
#<alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))> |
#<alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))> |
#<alt (* -1/192 (pow b 3))> |
#<alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))> |
#<alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* -1/192 (pow b 2)))> |
#<alt (+ 1/8 (* -1/192 (pow b 2)))> |
#<alt (+ 1/8 (* -1/192 (pow b 2)))> |
#<alt (* -1/192 (pow b 2))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* -1/192 (pow b 2))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 a))> |
#<alt (+ 1 (* a (- (* -1/4 a) 1/2)))> |
#<alt (+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2)))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (* 2 a))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))> |
#<alt (/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a)))))> |
#<alt 2> |
#<alt (+ 2 (* 2 a))> |
#<alt (+ 2 (* a (+ 2 (* 2 a))))> |
#<alt (+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))> |
#<alt (+ 1 (exp (* 2 a)))> |
#<alt (+ 1 (exp (* 2 a)))> |
#<alt (+ 1 (exp (* 2 a)))> |
#<alt (+ 1 (exp (* 2 a)))> |
#<alt (+ 1 (exp (neg (* -2 a))))> |
#<alt (+ 1 (exp (neg (* -2 a))))> |
#<alt (+ 1 (exp (neg (* -2 a))))> |
#<alt (+ 1 (exp (neg (* -2 a))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (+ (* a 1/2) (log 2)) |
| 1.0ms | a | @ | inf | (/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a))))) |
| 1.0ms | b | @ | 0 | (/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a))))) |
| 1.0ms | a | @ | -inf | (/ b (/ (+ 1 (exp a)) (+ 1 (exp (+ a a))))) |
| 1.0ms | a | @ | -inf | (/ (+ 1 (exp a)) (+ 1 (exp (+ a a)))) |
| 1× | batch-egg-rewrite |
| 852× | lower-*.f32 |
| 850× | lower-*.f64 |
| 808× | lower-fma.f32 |
| 800× | lower-fma.f64 |
| 674× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 107 |
| 0 | 47 | 107 |
| 1 | 201 | 107 |
| 0 | 1599 | 106 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(+.f64 #s(literal 2 binary64) b) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) |
(*.f64 b b) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
| Outputs |
|---|
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a)))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(neg.f64 (/.f64 b (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) |
(neg.f64 (/.f64 (neg.f64 b) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) #s(literal 1 binary64))) |
(/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (neg.f64 b) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (neg.f64 (neg.f64 b)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) |
(/.f64 (*.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) |
(*.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a))))) |
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(fma.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a 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 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.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))))) |
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(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
(/.f64 (expm1.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a))) (expm1.f64 (+.f64 a a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 a a)) (expm1.f64 (+.f64 a a)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal 2 binary64) (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) |
| 1× | egg-herbie |
| 14 836× | lower-fma.f64 |
| 14 836× | lower-fma.f32 |
| 4 508× | lower-*.f64 |
| 4 508× | lower-*.f32 |
| 4 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 2073 |
| 1 | 796 | 2007 |
| 2 | 2266 | 1959 |
| 3 | 7769 | 1959 |
| 0 | 8498 | 1789 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
b |
(+ b (* a (- b (* 1/2 b)))) |
(+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b)))) |
(+ b (* a (- (+ b (* a (- (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b)))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(+ b (log 2)) |
(+ b (+ (log 2) (* a (- (+ 1/2 b) (* 1/2 b))))) |
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 b) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b))))) |
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b))))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a))))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a))))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp 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))))))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* -1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8))))) |
(* -1 (log (/ 1 b))) |
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) |
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2))) |
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b)))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b)))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b)))) |
2 |
(+ 2 b) |
(+ 2 b) |
(+ 2 b) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* 1/2 a)) |
(* 1/2 a) |
(* a (+ 1/2 (/ (log 2) a))) |
(* a (+ 1/2 (/ (log 2) a))) |
(* a (+ 1/2 (/ (log 2) a))) |
(* 1/2 a) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* 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)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(* -1/192 (pow b 4)) |
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192)) |
(* -1/192 (pow b 4)) |
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
1/2 |
(+ 1/2 (* 1/8 b)) |
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) |
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) |
(* -1/192 (pow b 3)) |
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(* -1/192 (pow b 3)) |
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) |
1/8 |
(+ 1/8 (* -1/192 (pow b 2))) |
(+ 1/8 (* -1/192 (pow b 2))) |
(+ 1/8 (* -1/192 (pow b 2))) |
(* -1/192 (pow b 2)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* -1/192 (pow b 2)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
1 |
(+ 1 (* -1/2 a)) |
(+ 1 (* a (- (* -1/4 a) 1/2))) |
(+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
2 |
(+ 2 (* 2 a)) |
(+ 2 (* a (+ 2 (* 2 a)))) |
(+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) |
(+ 1 (exp (* 2 a))) |
(+ 1 (exp (* 2 a))) |
(+ 1 (exp (* 2 a))) |
(+ 1 (exp (* 2 a))) |
(+ 1 (exp (neg (* -2 a)))) |
(+ 1 (exp (neg (* -2 a)))) |
(+ 1 (exp (neg (* -2 a)))) |
(+ 1 (exp (neg (* -2 a)))) |
| Outputs |
|---|
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+ b (* a (- b (* 1/2 b)))) |
(fma.f64 b (*.f64 a #s(literal 1/2 binary64)) b) |
(+ b (* a (- (+ b (* a (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b)))) |
(fma.f64 a (fma.f64 a (fma.f64 b #s(literal 3/4 binary64) (*.f64 b #s(literal -1/4 binary64))) (*.f64 b #s(literal 1/2 binary64))) b) |
(+ b (* a (- (+ b (* a (- (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b))))))) (* 1/2 b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 b #s(literal 7/12 binary64) (fma.f64 (fma.f64 b #s(literal 3/4 binary64) (*.f64 b #s(literal -1/4 binary64))) #s(literal -1/2 binary64) (*.f64 b #s(literal -1/8 binary64)))) (fma.f64 b #s(literal 3/4 binary64) (*.f64 b #s(literal -1/4 binary64)))) (*.f64 b #s(literal 1/2 binary64))) b) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ b (log 2)) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(+ b (+ (log 2) (* a (- (+ 1/2 b) (* 1/2 b))))) |
(fma.f64 a (fma.f64 b #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 b (log.f64 #s(literal 2 binary64)))) |
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 b) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b))))) |
(+.f64 b (fma.f64 a (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 b #s(literal 3/4 binary64) #s(literal 1/8 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(+ b (+ (log 2) (* a (- (+ 1/2 (+ b (* a (- (+ 1/8 (+ b (* a (- (* 2/3 b) (+ (* 1/12 b) (+ (* 1/4 (- b (* 1/2 b))) (* 1/2 (- b (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))))))) (+ (* 1/4 b) (* 1/2 (- b (* 1/2 b)))))))) (* 1/2 b))))) |
(fma.f64 a (fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 b #s(literal 7/12 binary64) (fma.f64 (fma.f64 b #s(literal 3/4 binary64) (*.f64 b #s(literal -1/4 binary64))) #s(literal -1/2 binary64) (*.f64 b #s(literal -1/8 binary64)))) (fma.f64 b #s(literal 3/4 binary64) #s(literal 1/8 binary64)))) #s(literal 1/2 binary64))) (+.f64 b (log.f64 #s(literal 2 binary64)))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (+ 1 (exp (neg (* -2 a))))) (+ 1 (exp a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+ (log (+ 1 (exp a))) (* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (exp (* 2 a)) (+ 1 (exp a))))) |
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(+.f64 (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(+.f64 (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)))) |
(* b (+ (/ 1 (+ 1 (exp a))) (+ (/ (exp (* 2 a)) (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))) |
(+.f64 (fma.f64 (exp.f64 (+.f64 a a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)))) |
(/ (* b (+ 1 (exp (* 2 a)))) (+ 1 (exp a))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a))))))) |
(-.f64 (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a))))))) |
(-.f64 (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (+ 1 (exp (* 2 a))) (+ 1 (exp a))))))) |
(-.f64 (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* -1/8 b)))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8))))) |
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/24 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(* -1 (log (/ 1 b))) |
(log.f64 b) |
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) |
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b)) |
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2))) |
(+.f64 (log.f64 b) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b)) |
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2))) |
(+.f64 (log.f64 b) (+.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 8/3 binary64) b)) (*.f64 b b)))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 b)))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) b) (neg.f64 (log.f64 (neg.f64 b))))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b) (neg.f64 (log.f64 (neg.f64 b))))) |
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 b)))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8/3 binary64) b)) b)) b)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (/ (log 2) a))) |
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a))) |
(* a (+ 1/2 (/ (log 2) a))) |
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a))) |
(* a (+ 1/2 (/ (log 2) a))) |
(*.f64 a (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (neg.f64 a)) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #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 a (fma.f64 a (*.f64 (*.f64 b a) #s(literal 1/48 binary64)) (*.f64 b #s(literal -1/4 binary64))) (*.f64 b #s(literal 1/2 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(* -1/192 (pow b 4)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))) |
(* -1/192 (pow b 4)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 b)) |
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) |
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) |
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(* -1/192 (pow b 3)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))) |
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(* -1/192 (pow b 3)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 b (-.f64 #s(literal 1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))) |
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b)))))) |
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 b b)))))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/192 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow b 2))) |
(fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(* -1/192 (pow b 2)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 b b)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* -1/192 (pow b 2)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 b b)) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(* (pow b 2) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) |
(*.f64 b (*.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 a)) |
(fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* a (- (* -1/4 a) 1/2))) |
(fma.f64 a (fma.f64 a #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (- (* 1/6 a) 1/4)) 1/2))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (* 2 a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
(/ (+ 1 (exp a)) (+ 1 (exp (neg (* -2 a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 a)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 2 (* 2 a)))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 a a a) #s(literal 2 binary64)) |
(+ 2 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) |
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp (* 2 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (* 2 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (* 2 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (* 2 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (neg (* -2 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (neg (* -2 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (neg (* -2 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
(+ 1 (exp (neg (* -2 a)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) |
Compiled 9 310 to 1 015 computations (89.1% saved)
32 alts after pruning (22 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 496 | 11 | 507 |
| Fresh | 3 | 11 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 500 | 32 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| 50.8% | (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 50.3% | (fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 50.9% | (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) | |
| 51.7% | (fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b))) | |
| 49.7% | (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| 49.7% | (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 49.7% | (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| 51.5% | (/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| 5.2% | (/.f64 b (+.f64 #s(literal 2 binary64) a)) | |
| ✓ | 50.4% | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| 51.3% | (+.f64 b (log.f64 #s(literal 2 binary64))) | |
| 10.3% | (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) | |
| 3.8% | (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) | |
| 2.4% | (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) | |
| 5.3% | (*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) | |
| 4.3% | (*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) | |
| 11.7% | (*.f64 b #s(literal 1/2 binary64)) | |
| 49.3% | (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) | |
| 52.0% | (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) | |
| ✓ | 50.1% | (log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 48.5% | (log1p.f64 (+.f64 a #s(literal 1 binary64))) | |
| ✓ | 51.6% | (log1p.f64 (exp.f64 b)) |
| ✓ | 51.9% | (log1p.f64 (exp.f64 a)) |
| ✓ | 50.0% | (log1p.f64 #s(literal 1 binary64)) |
| 51.0% | (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 50.7% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) | |
| ✓ | 52.0% | (log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
| ✓ | 49.3% | (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 49.4% | (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) | |
| ✓ | 50.6% | (log.f64 (+.f64 #s(literal 2 binary64) b)) |
| 2.4% | (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
Compiled 845 to 405 computations (52.1% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (log1p.f64 #s(literal 1 binary64)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))) |
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
6 calls:
| 14.0ms | a |
| 13.0ms | b |
| 13.0ms | (exp.f64 b) |
| 11.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 10.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | a |
| 97.6% | 1 | b |
| 97.6% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.6% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.6% | 1 | (exp.f64 a) |
| 97.6% | 1 | (exp.f64 b) |
Compiled 29 to 21 computations (27.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| 14.0ms | b |
| 11.0ms | a |
| 10.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 9.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | a |
| 68.9% | 3 | b |
| 99.6% | 3 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.6% | 3 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.5% | 2 | (exp.f64 a) |
| 58.1% | 2 | (exp.f64 b) |
Compiled 29 to 21 computations (27.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(/.f64 (fma.f64 b (exp.f64 (+.f64 a a)) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
2 calls:
| 12.0ms | a |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | a |
| 98.4% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))) |
2 calls:
| 10.0ms | a |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | a |
| 98.3% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))) |
4 calls:
| 11.0ms | a |
| 9.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 96.9% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.0% | 2 | (exp.f64 a) |
| 98.0% | 2 | a |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log1p.f64 (exp.f64 b)) |
2 calls:
| 9.0ms | a |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | a |
| 97.5% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b))))) |
(log1p.f64 (exp.f64 a)) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)))) |
2 calls:
| 25.0ms | (exp.f64 a) |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | a |
| 97.2% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/192 binary64) (*.f64 b b) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a))) |
2 calls:
| 8.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | a |
| 97.1% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | a |
| 97.0% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a))) |
2 calls:
| 6.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | a |
| 97.0% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
4 calls:
| 7.0ms | a |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 95.6% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 96.5% | 2 | a |
| 96.5% | 2 | (exp.f64 a) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(log1p.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(+.f64 b (log.f64 #s(literal 2 binary64))) |
6 calls:
| 6.0ms | a |
| 6.0ms | b |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | (exp.f64 b) |
| 51.3% | 1 | b |
| 57.8% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.8% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.8% | 2 | a |
| 57.8% | 2 | (exp.f64 a) |
Compiled 29 to 21 computations (27.6% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
(log1p.f64 (+.f64 #s(literal 1 binary64) b)) |
(log1p.f64 (+.f64 a #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(log.f64 (+.f64 #s(literal 2 binary64) b)) |
4 calls:
| 6.0ms | a |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 2 | a |
| 57.6% | 2 | (exp.f64 a) |
| 57.5% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.5% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
(log1p.f64 #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
4 calls:
| 3.0ms | a |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 56.9% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.0% | 2 | a |
| 57.0% | 2 | (exp.f64 a) |
Compiled 22 to 16 computations (27.3% saved)
Total -7.0b remaining (-12.4%)
Threshold costs -7b (-12.4%)
| Inputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(/.f64 b (+.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 #s(literal -1/192 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 b b)) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))) |
| Outputs |
|---|
(*.f64 b #s(literal 1/2 binary64)) |
6 calls:
| 4.0ms | b |
| 2.0ms | a |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.7% | 1 | (exp.f64 b) |
| 11.7% | 1 | b |
| 11.7% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 11.7% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 11.7% | 1 | a |
| 11.7% | 1 | (exp.f64 a) |
Compiled 29 to 21 computations (27.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9714025745145885e-56 | 0.9938757938767345 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9714025745145885e-56 | 0.9938757938767345 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -166240.38924576543 | -127.85573111901431 |
| 19.0ms | 102× | 1 | valid |
| 5.0ms | 12× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 179 to 139 computations (22.3% saved)
ival-exp: 8.0ms (40.2% of total)ival-log: 8.0ms (40.2% of total)adjust: 2.0ms (10.1% of total)ival-add: 1.0ms (5% 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 |
|---|---|---|
| 12.0ms | -127.85573111901431 | -0.006143035991612652 |
| 7.0ms | 128× | 0 | valid |
Compiled 163 to 131 computations (19.6% saved)
ival-exp: 2.0ms (44.5% of total)ival-log: 2.0ms (44.5% of total)ival-add: 1.0ms (22.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9714025745145885e-56 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9714025745145885e-56 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9714025745145885e-56 | 0.9938757938767345 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9714025745145885e-56 | 0.9938757938767345 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9714025745145885e-56 | 0.9938757938767345 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9714025745145885e-56 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0069743495233998 | 1.9938757938767346 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9714025745145885e-56 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9714025745145885e-56 |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 255 |
| 1 | 88 | 255 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (+.f64 b (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) |
(*.f64 b #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -130 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 (exp.f64 b) (+.f64 a #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log.f64 (+.f64 #s(literal 2 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (*.f64 b #s(literal 1/2 binary64)) (+.f64 b (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) b))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64))) |
(*.f64 b #s(literal 1/2 binary64)) |
| 18 508× | lower-fma.f64 |
| 18 508× | lower-fma.f32 |
| 14 836× | lower-fma.f64 |
| 14 836× | lower-fma.f32 |
| 10 480× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 54 | 97 |
| 1 | 240 | 88 |
| 2 | 2206 | 88 |
| 0 | 8890 | 86 |
| 0 | 353 | 2464 |
| 1 | 1032 | 2405 |
| 2 | 2977 | 2351 |
| 0 | 8343 | 2015 |
| 0 | 279 | 2073 |
| 1 | 796 | 2007 |
| 2 | 2266 | 1959 |
| 3 | 7769 | 1959 |
| 0 | 8498 | 1789 |
| 0 | 19 | 84 |
| 0 | 36 | 84 |
| 1 | 148 | 84 |
| 2 | 1286 | 84 |
| 0 | 8691 | 78 |
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 757 | 556 |
| 3 | 2515 | 548 |
| 0 | 8549 | 500 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 829 to 476 computations (42.6% saved)
Compiled 606 to 208 computations (65.7% saved)
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