VandenBroeck and Keller, Equation (20)
Time bar (total: 14.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 0% | 0% | 62.5% | 0% | 0% | 37.5% | 0% | 4 |
| 0% | 0% | 56.2% | 0% | 0% | 43.7% | 0% | 5 |
| 0% | 0% | 53.1% | 0% | 0% | 46.9% | 0% | 6 |
| 3.1% | 1.6% | 48.4% | 0% | 0% | 50% | 0% | 7 |
| 4.8% | 2.3% | 46.1% | 0% | 0% | 51.5% | 0% | 8 |
| 5.6% | 2.7% | 45.7% | 0% | 0% | 51.5% | 0% | 9 |
| 6.5% | 3.1% | 45.1% | 0% | 0% | 51.7% | 0% | 10 |
| 6.9% | 3.3% | 44.8% | 0% | 0% | 51.8% | 0% | 11 |
| 6.9% | 3.3% | 44.8% | 0% | 0% | 51.9% | 0% | 12 |
Compiled 39 to 18 computations (53.8% saved)
| 2.8s | 7 602× | 1 | valid |
| 2.4s | 7 284× | 1 | invalid |
| 844.0ms | 182× | 2 | valid |
| 66.0ms | 472× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
| 0.0ms | 3× | 0 | exit |
ival-exp: 1.3s (23.6% of total)ival-div: 1.2s (21.8% of total)ival-log: 731.0ms (13.6% of total)ival-neg: 651.0ms (12.1% of total)ival-mult: 589.0ms (11% of total)adjust: 388.0ms (7.2% of total)ival-pi: 196.0ms (3.7% of total)ival-sub: 180.0ms (3.4% of total)ival-add: 157.0ms (2.9% of total)exact: 15.0ms (0.3% of total)ival-true: 12.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 250 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 4 | 0 | - | 0 | - | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
| 0 | 4 | (10786802.786926532) | 0 | - | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 0 | 0 | - | 0 | - | f |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | cancellation | 250 | 0 |
/.f64 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) | o/o | 4 | 0 |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 4 | |
| ↳ | (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | overflow | 4 | |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | overflow | 4 | |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 254 | 0 |
| - | 0 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 254 | 0 | 0 |
| - | 0 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 250 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 316.0ms | 482× | 1 | valid |
| 31.0ms | 8× | 2 | valid |
| 3.0ms | 22× | 0 | valid |
Compiled 629 to 68 computations (89.2% saved)
ival-mult: 84.0ms (31.6% of total)adjust: 43.0ms (16.2% of total)ival-log: 37.0ms (13.9% of total)ival-exp: 33.0ms (12.4% of total)ival-sub: 28.0ms (10.5% of total)ival-div: 23.0ms (8.7% of total)ival-neg: 8.0ms (3% of total)ival-pi: 5.0ms (1.9% of total)ival-add: 5.0ms (1.9% of total)ival-true: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 1 | 53 | 64 |
| 2 | 163 | 64 |
| 3 | 460 | 64 |
| 4 | 893 | 64 |
| 5 | 1219 | 64 |
| 6 | 1460 | 64 |
| 7 | 1557 | 64 |
| 8 | 1795 | 64 |
| 9 | 1947 | 64 |
| 10 | 2219 | 52 |
| 11 | 2653 | 50 |
| 12 | 2884 | 50 |
| 13 | 3229 | 50 |
| 14 | 3892 | 50 |
| 15 | 4641 | 50 |
| 16 | 5389 | 50 |
| 17 | 6576 | 50 |
| 18 | 6839 | 50 |
| 19 | 6851 | 50 |
| 20 | 7555 | 50 |
| 0 | 16 | 37 |
| 0 | 29 | 37 |
| 1 | 58 | 32 |
| 2 | 133 | 32 |
| 3 | 278 | 32 |
| 4 | 410 | 32 |
| 5 | 516 | 32 |
| 6 | 611 | 32 |
| 7 | 746 | 32 |
| 8 | 866 | 32 |
| 9 | 1083 | 32 |
| 10 | 1336 | 32 |
| 11 | 1468 | 32 |
| 12 | 1680 | 32 |
| 13 | 1781 | 32 |
| 14 | 1989 | 32 |
| 15 | 2413 | 32 |
| 16 | 3289 | 32 |
| 17 | 4748 | 25 |
| 18 | 5480 | 25 |
| 19 | 7659 | 25 |
| 0 | 8171 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))) |
Compiled 37 to 16 computations (56.8% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.0% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
Compiled 37 to 16 computations (56.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) | |
| cost-diff | 384 | (/.f64 (PI.f64) #s(literal 4 binary64)) | |
| cost-diff | 38144 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 196 |
| 0 | 29 | 196 |
| 1 | 58 | 177 |
| 2 | 133 | 177 |
| 3 | 278 | 177 |
| 4 | 410 | 177 |
| 5 | 516 | 177 |
| 6 | 611 | 177 |
| 7 | 746 | 177 |
| 8 | 866 | 177 |
| 9 | 1083 | 177 |
| 10 | 1336 | 177 |
| 11 | 1468 | 177 |
| 12 | 1680 | 177 |
| 13 | 1781 | 177 |
| 14 | 1989 | 177 |
| 15 | 2413 | 177 |
| 16 | 3289 | 177 |
| 17 | 4748 | 149 |
| 18 | 5480 | 149 |
| 19 | 7659 | 149 |
| 0 | 8171 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
f |
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(*.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))) |
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))) |
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
f |
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) | |
| accuracy | 0.3671875 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) | |
| accuracy | 1.1914172542033008 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) | |
| accuracy | 57.88615526694496 | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 124.0ms | 241× | 1 | valid |
| 4.0ms | 4× | 2 | valid |
| 1.0ms | 11× | 0 | valid |
Compiled 394 to 34 computations (91.4% saved)
ival-exp: 45.0ms (39.7% of total)adjust: 27.0ms (23.8% of total)ival-mult: 13.0ms (11.5% of total)ival-div: 9.0ms (7.9% of total)ival-log: 7.0ms (6.2% of total)ival-neg: 6.0ms (5.3% of total)ival-pi: 2.0ms (1.8% of total)ival-sub: 2.0ms (1.8% of total)ival-add: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| Outputs |
|---|
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* f (- (* 1/4 (PI)) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))))))) |
(* 1/4 (* f (PI))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 79.0ms | f | @ | inf | ((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f)) |
| 37.0ms | f | @ | -inf | ((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f)) |
| 7.0ms | f | @ | 0 | ((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 707 |
| 1 | 484 | 581 |
| 2 | 1856 | 453 |
| 3 | 7163 | 413 |
| 0 | 8247 | 395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* f (- (* 1/4 (PI)) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))))))) |
(* 1/4 (* f (PI))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
| Outputs |
|---|
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(* f (- (* 1/4 (PI)) (* -1/4 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) f) f (*.f64 #s(literal 1/2 binary64) (PI.f64))) f) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/61440 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 f f))) f) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/41287680 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 #s(literal 1/61440 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 f f))) (*.f64 f f))) f) |
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(* 1/4 (* f (PI))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 129 |
| 0 | 29 | 87 |
| 1 | 119 | 49 |
| 2 | 784 | 49 |
| 0 | 8567 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (PI.f64) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) #s(literal -1/4 binary64)) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal -1/4 binary64)) (PI.f64)) |
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64))) |
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))) |
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -4 binary64)) |
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (PI.f64))) |
Compiled 37 350 to 4 692 computations (87.4% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 12 | 894 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 883 | 12 | 895 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))) | |
| ▶ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| 97.7% | (-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) | |
| ▶ | 99.4% | (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
| 97.4% | (neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) | |
| 97.3% | (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) | |
| 99.2% | (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) | |
| ▶ | 99.2% | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
| 97.3% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| ▶ | 97.0% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
| ▶ | 97.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
Compiled 854 to 450 computations (47.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) (PI.f64)) | |
| cost-diff | 2304 | (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) | |
| cost-diff | 2112 | (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) | |
| cost-diff | 0 | (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) | |
| cost-diff | 0 | (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) | |
| cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) | |
| cost-diff | 384 | (/.f64 (PI.f64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (PI.f64)) | |
| cost-diff | 0 | (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) | |
| cost-diff | 0 | (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) | |
| cost-diff | 0 | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 443 |
| 0 | 76 | 433 |
| 1 | 164 | 407 |
| 2 | 403 | 406 |
| 3 | 955 | 402 |
| 4 | 2107 | 402 |
| 5 | 4712 | 402 |
| 6 | 6673 | 402 |
| 0 | 8060 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
f |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) |
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
(log.f64 f) |
f |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 4 binary64) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
f |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) |
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
(log.f64 f) |
f |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 4 binary64) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)) |
f |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) | |
| accuracy | 0.20703125 | (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| accuracy | 0.21875 | (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) | |
| accuracy | 0.296875 | (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| accuracy | 0.20703125 | (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| accuracy | 0.28125 | (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) | |
| accuracy | 0.296875 | (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 0.19921875 | (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) | |
| accuracy | 0.3671875 | (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) | |
| accuracy | 1.5452704793209402 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) | |
| accuracy | 2.0 | (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) | |
| accuracy | 0.021325904760301946 | (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) | |
| accuracy | 0.3671875 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) | |
| accuracy | 0.4453125 | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) | |
| accuracy | 1.442323402266007 | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) | |
| accuracy | 0.01171875 | (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) | |
| accuracy | 0.01171875 | (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) | |
| accuracy | 0.20703125 | (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| accuracy | 0.296875 | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 175.0ms | 241× | 1 | valid |
| 7.0ms | 4× | 2 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 852 to 92 computations (89.2% saved)
ival-log: 33.0ms (22% of total)ival-div: 32.0ms (21.3% of total)ival-mult: 22.0ms (14.6% of total)adjust: 19.0ms (12.7% of total)ival-exp: 17.0ms (11.3% of total)ival-neg: 8.0ms (5.3% of total)ival-sqrt: 6.0ms (4% of total)ival-sub: 4.0ms (2.7% of total)ival-tanh: 3.0ms (2% of total)ival-pi: 2.0ms (1.3% of total)ival-add: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) |
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) |
(+ (log f) (log (* 1/4 (PI)))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))) |
(* 1/4 (* f (PI))) |
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))))))) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3)))))))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
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(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | f | @ | 0 | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) |
| 58.0ms | f | @ | -inf | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) |
| 55.0ms | f | @ | inf | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 3373 |
| 1 | 1267 | 2633 |
| 2 | 5541 | 1974 |
| 0 | 8734 | 1854 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
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(+ (log f) (log (* 1/4 (PI)))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) |
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(* 1/4 (* f (PI))) |
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) |
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(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI))) |
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(* -1 (+ (log f) (log (* 1/4 (PI))))) |
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(- (* f (- (* -1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/4 (PI))))) |
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(/ 4 (* f (PI))) |
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(* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
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(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
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| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
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(fma.f64 (*.f64 f (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f))) |
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))) |
(fma.f64 (*.f64 f (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f))) |
(* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 4 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) #s(literal 0 binary64)) |
(+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI))))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 f (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64)) f) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))) |
(+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) f) (fma.f64 (*.f64 #s(literal 1/3 binary64) f) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (PI.f64)) (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (PI.f64)) #s(literal 24 binary64) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) f)) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal 4 binary64)) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64)) |
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))) |
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)) |
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal -4 binary64)) |
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) |
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) |
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) |
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))) |
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64)) #s(literal -4 binary64)) |
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 367 |
| 0 | 76 | 230 |
| 1 | 296 | 226 |
| 2 | 1851 | 226 |
| 0 | 8657 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) |
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
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(exp.f64 (neg.f64 (neg.f64 (log.f64 (PI.f64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (PI.f64))) |
(log.f64 (exp.f64 (PI.f64))) |
(PI.f64) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 f #s(literal -4 binary64)) (neg.f64 (PI.f64))) |
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) (log.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)))) |
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64)))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (/.f64 f #s(literal 4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (/.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) f))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)) #s(literal 4 binary64)) |
(/.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64)) |
(/.f64 (/.f64 f #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64)) |
(/.f64 (*.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (neg.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64)) |
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)) |
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 f #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 #s(literal 1 binary64) f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 f (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64)))))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) #s(literal 1/4 binary64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(*.f64 (pow.f64 (/.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 f #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) f)) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (neg.f64 f) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))) (PI.f64)) |
(/.f64 (pow.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 f)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f)) |
(/.f64 #s(literal -4 binary64) (*.f64 f (neg.f64 (PI.f64)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) f))) |
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 f #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (neg.f64 (PI.f64))))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (*.f64 (PI.f64) f)))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 (PI.f64)) f))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) |
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -1 binary64))) |
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) |
Compiled 74 069 to 7 699 computations (89.6% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 192 | 13 | 2 205 |
| Fresh | 6 | 1 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 202 | 15 | 2 217 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ▶ | 97.1% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| ▶ | 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
| 97.1% | (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))))) | |
| ▶ | 96.8% | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
| 95.6% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| 97.3% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| ▶ | 97.0% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
| 97.0% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) | |
| 96.4% | (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| 96.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) | |
| 96.9% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))) | |
| 97.0% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) | |
| 97.0% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
Compiled 1 177 to 646 computations (45.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) | |
| cost-diff | 2112 | (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 600 |
| 0 | 85 | 563 |
| 1 | 197 | 535 |
| 2 | 444 | 534 |
| 3 | 1179 | 534 |
| 4 | 2914 | 534 |
| 5 | 4715 | 534 |
| 6 | 7203 | 534 |
| 0 | 8075 | 534 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
f |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) f) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
f |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) f) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(sqrt.f64 (PI.f64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 4 binary64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f) |
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
f |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
f |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (PI.f64) f) |
(*.f64 f (PI.f64)) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
f |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) |
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (PI.f64) f) |
(*.f64 f (PI.f64)) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(sqrt.f64 (PI.f64)) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) |
#s(literal 4 binary64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))) |
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f) |
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
f |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5577622001664831 | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.984375 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) | |
| accuracy | 0.984375 | (sqrt.f64 (PI.f64)) | |
| accuracy | 0.296875 | (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| accuracy | 0.5640091888325567 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.984375 | (sqrt.f64 (PI.f64)) | |
| accuracy | 0.30859375 | (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) | |
| accuracy | 0.4375 | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) | |
| accuracy | 0.5577622001664831 | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.20703125 | (*.f64 (PI.f64) f) | |
| accuracy | 0.296875 | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| accuracy | 0.5640091888325567 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) | |
| accuracy | 0.25 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) | |
| accuracy | 0.30859375 | (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) | |
| accuracy | 0.9687264153926188 | (PI.f64) |
| 179.0ms | 241× | 1 | valid |
| 66.0ms | 4× | 5 | exit |
| 4.0ms | 11× | 0 | valid |
Compiled 1 084 to 101 computations (90.7% saved)
ival-log: 65.0ms (32.4% of total)ival-div: 39.0ms (19.4% of total)ival-mult: 35.0ms (17.4% of total)ival-exp: 20.0ms (10% of total)ival-tanh: 13.0ms (6.5% of total)adjust: 9.0ms (4.5% of total)ival-neg: 8.0ms (4% of total)ival-pi: 3.0ms (1.5% of total)ival-sqrt: 3.0ms (1.5% of total)ival-sub: 2.0ms (1% of total)ival-add: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) f) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(sqrt.f64 (PI.f64)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)) |
| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) |
(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(+ (* -1/2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(+ (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* -1/4 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))))) |
(+ (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* -1/4 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (* -1/4 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))))))) |
(+ (log f) (log (* 1/4 (PI)))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))) |
(* 1/4 (* f (PI))) |
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))))))) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3)))))))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))) |
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
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(* f (PI)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
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(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
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(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | f | @ | inf | ((/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (/ 4 (PI)) f) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (sqrt (PI)) (sqrt (PI))) (/ 1 (/ (PI) 4)) (/ (/ 4 (* (sqrt (PI)) (sqrt (PI)))) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) |
| 18.0ms | f | @ | -inf | ((/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (/ 4 (PI)) f) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (sqrt (PI)) (sqrt (PI))) (/ 1 (/ (PI) 4)) (/ (/ 4 (* (sqrt (PI)) (sqrt (PI)))) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) |
| 9.0ms | f | @ | 0 | ((/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (/ 4 (PI)) f) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (sqrt (PI)) (sqrt (PI))) (/ 1 (/ (PI) 4)) (/ (/ 4 (* (sqrt (PI)) (sqrt (PI)))) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (PI) 1/4) f) (* (PI) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 3661 |
| 1 | 1440 | 2767 |
| 2 | 6759 | 1965 |
| 0 | 8934 | 1847 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
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(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(+ (* -1/2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))) |
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(+ (log f) (log (* 1/4 (PI)))) |
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) |
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(* 1/4 (* f (PI))) |
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) |
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(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* f (PI)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)) |
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(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) |
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(+ (log f) (log (* 1/4 (PI)))) |
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) |
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(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64) (*.f64 (*.f64 f #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 f (PI.f64))))) |
(* f (PI)) |
(*.f64 (PI.f64) f) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal 4 binary64)) |
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64)) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))))) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal -4 binary64)) |
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 391 |
| 0 | 85 | 255 |
| 1 | 334 | 251 |
| 2 | 1756 | 250 |
| 0 | 8457 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) |
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) f) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(sqrt.f64 (PI.f64)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)) |
| Outputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)) |
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
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(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) f)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) f)) |
(*.f64 f (PI.f64)) |
(*.f64 (PI.f64) f) |
(*.f64 #s(literal 1 binary64) (*.f64 f (PI.f64))) |
(/.f64 (neg.f64 f) (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
Compiled 57 549 to 6 972 computations (87.9% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 712 | 12 | 1 724 |
| Fresh | 6 | 3 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 721 | 18 | 1 739 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.9% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
| 96.8% | (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ▶ | 97.1% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 96.0% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| ✓ | 97.1% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ✓ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) | |
| ▶ | 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))) | |
| 96.9% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))) | |
| 96.8% | (*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| ▶ | 97.0% | (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
| 97.0% | (*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) | |
| 97.0% | (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) | |
| ▶ | 97.3% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
| 96.4% | (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| 97.0% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
Compiled 993 to 630 computations (36.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) | |
| cost-diff | 640 | (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) | |
| cost-diff | 960 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) | |
| cost-diff | 0 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) | |
| cost-diff | 0 | (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| cost-diff | 704 | (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 711 |
| 0 | 96 | 667 |
| 1 | 209 | 628 |
| 2 | 565 | 596 |
| 3 | 2539 | 596 |
| 4 | 4944 | 596 |
| 0 | 8183 | 596 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) |
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 #s(literal 1/8 binary64) (PI.f64)) |
#s(literal 1/8 binary64) |
f |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 f (PI.f64)) |
f |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) |
#s(literal 4 binary64) |
(*.f64 f (PI.f64)) |
f |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
#s(literal 0 binary64) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 f (PI.f64)) |
f |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) |
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) |
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
#s(literal -2 binary64) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
(*.f64 #s(literal 1/48 binary64) (PI.f64)) |
#s(literal 1/48 binary64) |
(*.f64 #s(literal 1/8 binary64) (PI.f64)) |
#s(literal 1/8 binary64) |
f |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 4 binary64) |
(PI.f64) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)) |
(*.f64 f (PI.f64)) |
f |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) |
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) |
#s(literal 4 binary64) |
(*.f64 f (PI.f64)) |
f |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) |
(*.f64 f (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
f |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
#s(literal -1/4 binary64) |
(PI.f64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)) |
(*.f64 f (PI.f64)) |
f |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) (PI.f64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.38509750976844204 | (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) | |
| accuracy | 0.495136279305326 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) | |
| accuracy | 0.5640091888325567 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.5640091888325567 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.984375 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) | |
| accuracy | 0.984375 | (sqrt.f64 (PI.f64)) | |
| accuracy | 0.25 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) | |
| accuracy | 0.30859375 | (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) | |
| accuracy | 0.5577622001664831 | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.20703125 | (*.f64 f (PI.f64)) | |
| accuracy | 0.3671875 | (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) | |
| accuracy | 0.5640091888325567 | #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.70703125 | (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) | |
| accuracy | 0.9687264153926188 | (PI.f64) | |
| accuracy | 0.984375 | (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) | |
| accuracy | 0.984375 | (*.f64 (PI.f64) #s(literal 1/48 binary64)) |
| 274.0ms | 241× | 1 | valid |
| 39.0ms | 4× | 4 | exit |
| 4.0ms | 11× | 0 | valid |
Compiled 1 256 to 115 computations (90.8% saved)
ival-mult: 122.0ms (48.4% of total)ival-log: 39.0ms (15.5% of total)ival-div: 27.0ms (10.7% of total)ival-exp: 18.0ms (7.1% of total)adjust: 13.0ms (5.2% of total)ival-tanh: 7.0ms (2.8% of total)ival-add: 6.0ms (2.4% of total)ival-sub: 4.0ms (1.6% of total)ival-neg: 4.0ms (1.6% of total)const: 4.0ms (1.6% of total)ival-pi: 3.0ms (1.2% of total)ival-sqrt: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(PI.f64) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
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(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
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(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
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(*.f64 f (PI.f64)) |
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(sqrt.f64 (PI.f64)) |
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| Outputs |
|---|
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(* 1/4 (* f (PI))) |
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) |
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(* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(- (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(- (* f (- (* 1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
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(* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) |
(* f (PI)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
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(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(+ (* -1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* -1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) |
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(* 1/4 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(* -1/4 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | f | @ | -inf | ((/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (tanh (* f (* 1/4 (PI)))) (* f (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) |
| 25.0ms | f | @ | inf | ((/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (tanh (* f (* 1/4 (PI)))) (* f (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) |
| 5.0ms | f | @ | 0 | ((/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -1/4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* -1/4 (PI)) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (tanh (* f (* 1/4 (PI)))) (* f (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 2681 |
| 1 | 1215 | 1999 |
| 2 | 5614 | 1541 |
| 0 | 8865 | 1447 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3)))))))) |
(* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(- (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(- (* f (- (* 1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
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(* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) |
(* f (PI)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(+ (* -1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* -1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) |
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(* 1/4 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
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| Outputs |
|---|
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(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))))))) |
(*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f) |
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3)))))))) |
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(* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(- (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(- (* f (- (* 1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(fma.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) f) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64)) (PI.f64))) f)) |
(- (* f (- (* f (- (* 1/24 (* f (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))))) (* -1/8 (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) f) (PI.f64)) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal 24 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64)))) f) f (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) |
(*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) |
(* f (PI)) |
(*.f64 f (PI.f64)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f) |
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) |
(*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(+ (* -1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))) |
(fma.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 0 binary64)) |
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* -1/8 (* f (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) |
(fma.f64 (*.f64 f (*.f64 #s(literal -1/8 binary64) f)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64)) (PI.f64)) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (+ (* -1/8 (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* -1/24 (* f (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))))))))) |
(fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (PI.f64)) f) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)) #s(literal 24 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (PI.f64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 8 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))) (PI.f64)) #s(literal -4 binary64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))) (PI.f64)) #s(literal 4 binary64)) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal 4 binary64)) |
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) |
(* -1/4 (/ (PI) (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))))) |
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))) |
(* 1/4 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))) |
(* -1/4 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) |
(*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 448 |
| 0 | 96 | 305 |
| 1 | 361 | 293 |
| 2 | 2386 | 293 |
| 0 | 8839 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(PI.f64) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) |
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 f (PI.f64)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1/4 binary64)) |
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64)))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64)))) |
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64))))) |
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal 1/48 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/8 binary64) (PI.f64) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 (*.f64 #s(literal 1/48 binary64) (PI.f64)) #s(literal -2 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -2 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/48 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal -1/24 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/8 binary64) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))))) |
(+.f64 (*.f64 #s(literal -1/24 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))) |
(*.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
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(fma.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 0 binary64)) |
(fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (pow.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
Compiled 65 699 to 6 497 computations (90.1% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 572 | 5 | 1 577 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 576 | 19 | 1 595 |
| Status | Accuracy | Program |
|---|---|---|
| 97.0% | (/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64)) | |
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 97.4% | (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) | |
| ✓ | 97.1% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 96.0% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) | |
| ✓ | 97.1% | (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ✓ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) | |
| ✓ | 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))) | |
| 96.9% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))) | |
| 96.8% | (*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) | |
| ✓ | 97.0% | (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
| 97.0% | (*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) | |
| 97.3% | (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))) | |
| 97.3% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| 96.4% | (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) | |
| 96.9% | (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) | |
| 97.0% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
Compiled 2 093 to 615 computations (70.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) |
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))))) |
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
6 calls:
| 322.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 11.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 11.0ms | f |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 8.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | f |
| 99.5% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 99.5% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 99.5% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 99.5% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 138 to 60 computations (56.5% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) |
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))))) |
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
| Outputs |
|---|
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
6 calls:
| 38.0ms | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 37.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 8.0ms | f |
| 6.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 6.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | f |
| 97.4% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 97.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 97.4% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 97.4% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 97.4% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 138 to 60 computations (56.5% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) |
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64))))) |
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
| Outputs |
|---|
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
6 calls:
| 13.0ms | f |
| 6.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 5.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 4.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | f |
| 97.1% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 97.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 97.1% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 97.1% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 97.1% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 138 to 60 computations (56.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
6 calls:
| 1.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 1.0ms | f |
| 1.0ms | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 1.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | f |
| 97.0% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 97.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 97.0% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 97.0% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 97.0% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 138 to 60 computations (56.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 95 |
| 1 | 84 | 95 |
| 2 | 181 | 95 |
| 3 | 369 | 95 |
| 4 | 660 | 95 |
| 5 | 1187 | 95 |
| 6 | 3253 | 95 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) |
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 129 |
| 0 | 29 | 87 |
| 1 | 119 | 49 |
| 2 | 784 | 49 |
| 0 | 8567 | 49 |
| 0 | 171 | 707 |
| 1 | 484 | 581 |
| 2 | 1856 | 453 |
| 3 | 7163 | 413 |
| 0 | 8247 | 395 |
| 0 | 52 | 391 |
| 0 | 85 | 255 |
| 1 | 334 | 251 |
| 2 | 1756 | 250 |
| 0 | 8457 | 250 |
| 0 | 391 | 3373 |
| 1 | 1267 | 2633 |
| 2 | 5541 | 1974 |
| 0 | 8734 | 1854 |
| 0 | 59 | 448 |
| 0 | 96 | 305 |
| 1 | 361 | 293 |
| 2 | 2386 | 293 |
| 0 | 8839 | 289 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 315 to 157 computations (50.2% saved)
Compiled 264 to 124 computations (53% saved)
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