
Time bar (total: 2.5min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 74.9% | 25.1% | 0% | 0% | 0% | 2 |
| 25% | 18.7% | 56.2% | 25.1% | 0% | 0% | 0% | 3 |
| 50% | 37.5% | 37.5% | 25.1% | 0% | 0% | 0% | 4 |
| 56.3% | 42.1% | 32.8% | 25.1% | 0% | 0% | 0% | 5 |
| 62.5% | 46.8% | 28.1% | 25.1% | 0% | 0% | 0% | 6 |
| 64.1% | 48% | 26.9% | 25.1% | 0% | 0% | 0% | 7 |
| 65.6% | 49.2% | 25.8% | 25.1% | 0% | 0% | 0% | 8 |
| 66% | 49.5% | 25.5% | 25.1% | 0% | 0% | 0% | 9 |
| 66.4% | 49.8% | 25.2% | 25.1% | 0% | 0% | 0% | 10 |
| 66.5% | 49.8% | 25.1% | 25.1% | 0% | 0% | 0% | 11 |
| 66.6% | 49.9% | 25.1% | 25.1% | 0% | 0% | 0% | 12 |
Compiled 127 to 62 computations (51.2% saved)
| 28.7s | 3 986× | 5 | exit |
| 4.8s | 8 256× | 0 | valid |
| 71.0ms | 103× | 0 | exit |
ival-sin: 21.9s (66.9% of total)const: 2.8s (8.5% of total)ival-add: 2.1s (6.3% of total)adjust: 1.9s (5.7% of total)ival-mult: 1.4s (4.4% of total)ival-div: 1.3s (3.8% of total)ival-pow: 416.0ms (1.3% of total)ival-sqrt: 250.0ms (0.8% of total)ival-pi: 180.0ms (0.5% of total)ival-sub: 173.0ms (0.5% of total)ival-exp: 160.0ms (0.5% of total)ival-neg: 105.0ms (0.3% of total)ival-<=: 73.0ms (0.2% of total)exact: 67.0ms (0.2% of total)ival-assert: 8.0ms (0% of total)| 2× | egg-herbie |
| 5 942× | accelerator-lowering-fma.f32 |
| 5 942× | accelerator-lowering-fma.f64 |
| 4 752× | *-lowering-*.f32 |
| 4 752× | *-lowering-*.f64 |
| 3 832× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 328 |
| 1 | 276 | 288 |
| 2 | 1269 | 224 |
| 0 | 60 | 101 |
| 1 | 156 | 95 |
| 2 | 615 | 76 |
| 3 | 4068 | 74 |
| 0 | 8139 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
| Outputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| Inputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))) |
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))) |
| Outputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(* (+ (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ 9999999999998099/10000000000000000 (/ -3147848041806007/2500000000000 (- 2 z)))) (+ (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z)))) (+ (+ (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z))) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) (* (PI) (/ (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (sin (* (PI) z))))) |
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))) |
(/ (* (* (PI) (sqrt (* (PI) 2))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1))) (/ -3147848041806007/2500000000000 (+ z 2))) (+ (/ 7713234287776531/10000000000000 (+ z 3)) (+ (/ -883075145810703/5000000000000 (+ z 4)) (/ 2501468655737381/200000000000000 (+ z 5))))) (+ (/ -3464277381643003/25000000000000000 (+ z 6)) (+ (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))) (* (pow (+ z 15/2) (+ z 1/2)) (exp (- -15/2 z))))) (neg (sin (* (PI) z)))) |
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))) |
(* (* (/ (PI) (sin (* (PI) z))) (sqrt (* (PI) 2))) (* (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1))) (/ -3147848041806007/2500000000000 (+ z 2))) (+ (/ 7713234287776531/10000000000000 (+ z 3)) (+ (/ -883075145810703/5000000000000 (+ z 4)) (/ 2501468655737381/200000000000000 (+ z 5))))) (+ (/ -3464277381643003/25000000000000000 (+ z 6)) (+ (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))) (* (pow (+ z 15/2) (+ z 1/2)) (exp (- -15/2 z))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 249 | 0 | - | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
| 6 | 0 | - | 0 | - | (sin.f64 (*.f64 (PI.f64) z)) |
| 6 | 0 | - | 0 | - | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) |
| 1 | 0 | - | 1 | (-0.2963358667338383) | (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9999999999998099/10000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 7713234287776531/10000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) z) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 7 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) z) |
| 0 | 0 | - | 0 | - | #s(literal 6765203681218851/10000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3764081837873279/25000000000000000000000 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal -883075145810703/5000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal -3147848041806007/2500000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal -3464277381643003/25000000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2501468655737381/200000000000000 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2496092394504893/250000000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) | cancellation | 20 | 0 |
*.f64 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) | o*u | 6 | 0 |
| ↳ | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | overflow | 6 | |
| ↳ | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | overflow | 6 | |
| ↳ | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))) | underflow | 6 | |
sin.f64 | (sin.f64 (*.f64 (PI.f64) z)) | sensitivity | 6 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 6 | 0 |
| - | 20 | 230 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 6 | 0 | 0 |
| - | 20 | 0 | 230 |
| number | freq |
|---|---|
| 0 | 230 |
| 1 | 20 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 369.0ms | 352× | 1 | valid |
| 136.0ms | 112× | 2 | valid |
| 26.0ms | 48× | 0 | valid |
Compiled 2 038 to 244 computations (88% saved)
const: 86.0ms (20.5% of total)ival-add: 84.0ms (20% of total)ival-div: 79.0ms (18.8% of total)adjust: 45.0ms (10.7% of total)ival-mult: 44.0ms (10.5% of total)ival-pow: 26.0ms (6.2% of total)ival-sub: 14.0ms (3.3% of total)ival-exp: 12.0ms (2.9% of total)ival-sin: 8.0ms (1.9% of total)ival-sqrt: 7.0ms (1.7% of total)ival-neg: 6.0ms (1.4% of total)ival-pi: 4.0ms (1% of total)exact: 4.0ms (1% of total)ival-true: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)Compiled 75 to 58 computations (22.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ▶ | 95.1% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) |
Compiled 199 to 118 computations (40.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) |
| 4 890× | +-lowering-+.f64 |
| 4 890× | +-lowering-+.f32 |
| 3 854× | accelerator-lowering-fma.f32 |
| 3 854× | accelerator-lowering-fma.f64 |
| 3 434× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 1286 |
| 1 | 238 | 1220 |
| 2 | 987 | 982 |
| 0 | 8499 | 982 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(/ (PI) (sin (* (PI) z))) |
(PI) |
(sin (* (PI) z)) |
(* (PI) z) |
z |
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) |
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) |
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
2 |
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) |
(+ (+ (- (- 1 z) 1) 7) 1/2) |
(+ (- (- 1 z) 1) 7) |
(- (- 1 z) 1) |
(- 1 z) |
1 |
7 |
1/2 |
(+ (- (- 1 z) 1) 1/2) |
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) |
(neg (+ (+ (- (- 1 z) 1) 7) 1/2)) |
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) |
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) |
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) |
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) |
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) |
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) |
9999999999998099/10000000000000000 |
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) |
6765203681218851/10000000000000 |
(+ (- (- 1 z) 1) 1) |
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) |
-3147848041806007/2500000000000 |
(+ (- (- 1 z) 1) 2) |
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) |
7713234287776531/10000000000000 |
(+ (- (- 1 z) 1) 3) |
3 |
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) |
-883075145810703/5000000000000 |
(+ (- (- 1 z) 1) 4) |
4 |
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) |
2501468655737381/200000000000000 |
(+ (- (- 1 z) 1) 5) |
5 |
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) |
-3464277381643003/25000000000000000 |
(+ (- (- 1 z) 1) 6) |
6 |
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) |
2496092394504893/250000000000000000000 |
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) |
3764081837873279/25000000000000000000000 |
(+ (- (- 1 z) 1) 8) |
8 |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
(PI) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 15/2 z) |
15/2 |
z |
(- 1/2 z) |
1/2 |
(exp (- 15/2 z)) |
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
(/ (PI) (sin (* (PI) z))) |
(sin (* (PI) z)) |
(* (PI) z) |
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))) |
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) |
9999999999998099/10000000000000000 |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
7713234287776531/10000000000000 |
(- 3 z) |
3 |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(/ -883075145810703/5000000000000 (- 4 z)) |
-883075145810703/5000000000000 |
(- 4 z) |
4 |
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) |
(/ 2501468655737381/200000000000000 (- 5 z)) |
2501468655737381/200000000000000 |
(- 5 z) |
5 |
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) |
(/ -3464277381643003/25000000000000000 (- 6 z)) |
-3464277381643003/25000000000000000 |
(- 6 z) |
6 |
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) |
(/ 2496092394504893/250000000000000000000 (- 7 z)) |
2496092394504893/250000000000000000000 |
(- 7 z) |
7 |
(/ 3764081837873279/25000000000000000000000 (- 8 z)) |
3764081837873279/25000000000000000000000 |
(- 8 z) |
8 |
| Outputs |
|---|
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z))) |
(/ (PI) (sin (* (PI) z))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
(PI) |
(PI.f64) |
(sin (* (PI) z)) |
(sin.f64 (*.f64 (PI.f64) z)) |
(* (PI) z) |
(*.f64 (PI.f64) z) |
z |
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))) |
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(+ (+ (- (- 1 z) 1) 7) 1/2) |
(-.f64 #s(literal 15/2 binary64) z) |
(+ (- (- 1 z) 1) 7) |
(-.f64 #s(literal 7 binary64) z) |
(- (- 1 z) 1) |
(-.f64 #s(literal 0 binary64) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
7 |
#s(literal 7 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (- (- 1 z) 1) 1/2) |
(-.f64 #s(literal 1/2 binary64) z) |
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))) |
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))) |
(neg (+ (+ (- (- 1 z) 1) 7) 1/2)) |
(+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64))) |
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) |
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) |
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) |
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))) |
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))) |
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) |
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) |
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) |
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) |
6765203681218851/10000000000000 |
#s(literal 6765203681218851/10000000000000 binary64) |
(+ (- (- 1 z) 1) 1) |
(-.f64 #s(literal 1 binary64) z) |
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) |
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) |
-3147848041806007/2500000000000 |
#s(literal -3147848041806007/2500000000000 binary64) |
(+ (- (- 1 z) 1) 2) |
(-.f64 #s(literal 2 binary64) z) |
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
7713234287776531/10000000000000 |
#s(literal 7713234287776531/10000000000000 binary64) |
(+ (- (- 1 z) 1) 3) |
(-.f64 #s(literal 3 binary64) z) |
3 |
#s(literal 3 binary64) |
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) |
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) |
-883075145810703/5000000000000 |
#s(literal -883075145810703/5000000000000 binary64) |
(+ (- (- 1 z) 1) 4) |
(-.f64 #s(literal 4 binary64) z) |
4 |
#s(literal 4 binary64) |
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) |
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) |
2501468655737381/200000000000000 |
#s(literal 2501468655737381/200000000000000 binary64) |
(+ (- (- 1 z) 1) 5) |
(-.f64 #s(literal 5 binary64) z) |
5 |
#s(literal 5 binary64) |
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) |
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) |
-3464277381643003/25000000000000000 |
#s(literal -3464277381643003/25000000000000000 binary64) |
(+ (- (- 1 z) 1) 6) |
(-.f64 #s(literal 6 binary64) z) |
6 |
#s(literal 6 binary64) |
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) |
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) |
2496092394504893/250000000000000000000 |
#s(literal 2496092394504893/250000000000000000000 binary64) |
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) |
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) |
3764081837873279/25000000000000000000000 |
#s(literal 3764081837873279/25000000000000000000000 binary64) |
(+ (- (- 1 z) 1) 8) |
(-.f64 #s(literal 8 binary64) z) |
8 |
#s(literal 8 binary64) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(pow (- 15/2 z) (- 1/2 z)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(- 15/2 z) |
(-.f64 #s(literal 15/2 binary64) z) |
15/2 |
#s(literal 15/2 binary64) |
z |
(- 1/2 z) |
(-.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
(exp (- 15/2 z)) |
(exp.f64 (-.f64 #s(literal 15/2 binary64) z)) |
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))))) |
(/ (PI) (sin (* (PI) z))) |
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) |
(sin (* (PI) z)) |
(sin.f64 (*.f64 (PI.f64) z)) |
(* (PI) z) |
(*.f64 (PI.f64) z) |
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))))) |
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) |
6765203681218851/10000000000000 |
#s(literal 6765203681218851/10000000000000 binary64) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) |
-3147848041806007/2500000000000 |
#s(literal -3147848041806007/2500000000000 binary64) |
(- 2 z) |
(-.f64 #s(literal 2 binary64) z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
7713234287776531/10000000000000 |
#s(literal 7713234287776531/10000000000000 binary64) |
(- 3 z) |
(-.f64 #s(literal 3 binary64) z) |
3 |
#s(literal 3 binary64) |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) |
(/ -883075145810703/5000000000000 (- 4 z)) |
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) |
-883075145810703/5000000000000 |
#s(literal -883075145810703/5000000000000 binary64) |
(- 4 z) |
(-.f64 #s(literal 4 binary64) z) |
4 |
#s(literal 4 binary64) |
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) |
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))) |
(/ 2501468655737381/200000000000000 (- 5 z)) |
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) |
2501468655737381/200000000000000 |
#s(literal 2501468655737381/200000000000000 binary64) |
(- 5 z) |
(-.f64 #s(literal 5 binary64) z) |
5 |
#s(literal 5 binary64) |
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) |
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) |
(/ -3464277381643003/25000000000000000 (- 6 z)) |
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) |
-3464277381643003/25000000000000000 |
#s(literal -3464277381643003/25000000000000000 binary64) |
(- 6 z) |
(-.f64 #s(literal 6 binary64) z) |
6 |
#s(literal 6 binary64) |
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) |
(+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) |
(/ 2496092394504893/250000000000000000000 (- 7 z)) |
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) |
2496092394504893/250000000000000000000 |
#s(literal 2496092394504893/250000000000000000000 binary64) |
(- 7 z) |
(-.f64 #s(literal 7 binary64) z) |
7 |
#s(literal 7 binary64) |
(/ 3764081837873279/25000000000000000000000 (- 8 z)) |
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) |
3764081837873279/25000000000000000000000 |
#s(literal 3764081837873279/25000000000000000000000 binary64) |
(- 8 z) |
(-.f64 #s(literal 8 binary64) z) |
8 |
#s(literal 8 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 96.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 96.6% | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 95.7% | (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 9.3% | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
| 352.0ms | 176× | 1 | valid |
| 127.0ms | 56× | 2 | valid |
| 17.0ms | 24× | 0 | valid |
Compiled 1 352 to 94 computations (93% saved)
ival-div: 102.0ms (24.5% of total)ival-add: 84.0ms (20.2% of total)const: 49.0ms (11.8% of total)ival-exp: 41.0ms (9.8% of total)adjust: 39.0ms (9.4% of total)ival-pow: 38.0ms (9.1% of total)ival-mult: 26.0ms (6.2% of total)ival-sub: 24.0ms (5.8% of total)ival-sqrt: 4.0ms (1% of total)ival-sin: 4.0ms (1% of total)ival-pi: 3.0ms (0.7% of total)exact: 2.0ms (0.5% of total)ival-neg: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))> |
#<alt (+ (+ (- (- 1 z) 1) 7) 1/2)> |
#<alt (+ (- (- 1 z) 1) 7)> |
#<alt (- (- 1 z) 1)> |
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))> |
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))> |
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))> |
#<alt (sqrt (* (PI) 2))> |
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))> |
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))> |
#<alt (/ 7713234287776531/10000000000000 (- 3 z))> |
| Outputs |
|---|
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))> |
#<alt (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))> |
#<alt (+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))> |
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt 15/2> |
#<alt (+ 15/2 (* -1 z))> |
#<alt (+ 15/2 (* -1 z))> |
#<alt (+ 15/2 (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (* 15/2 (/ 1 z)) 1))> |
#<alt (* z (- (* 15/2 (/ 1 z)) 1))> |
#<alt (* z (- (* 15/2 (/ 1 z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1 (* 15/2 (/ 1 z)))))> |
#<alt 7> |
#<alt (+ 7 (* -1 z))> |
#<alt (+ 7 (* -1 z))> |
#<alt (+ 7 (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* z (- (* 7 (/ 1 z)) 1))> |
#<alt (* z (- (* 7 (/ 1 z)) 1))> |
#<alt (* z (- (* 7 (/ 1 z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))> |
#<alt (* -1 (* z (- 1 (* 7 (/ 1 z)))))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)> |
#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))> |
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))> |
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))))> |
#<alt (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))> |
#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))> |
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))> |
#<alt (+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))> |
#<alt (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))> |
#<alt (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))> |
#<alt (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))> |
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2)))> |
#<alt (+ (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (sqrt (PI))))> |
#<alt (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))> |
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (* z (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))> |
#<alt (* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))> |
#<alt 479507597606835099/10000000000000000> |
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))> |
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))> |
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))> |
#<alt 9999999999998099/10000000000000000> |
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))> |
#<alt 9999999999998099/10000000000000000> |
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))> |
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))> |
#<alt -11173853963059511/30000000000000> |
#<alt (- (* -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)> |
#<alt (- (* z (- (* -69565428553209127/540000000000000 z) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)> |
#<alt (- (* z (- (* z (- (* -224122754235180443/3240000000000000 z) 69565428553209127/540000000000000)) 5154349522119383/22500000000000)) 11173853963059511/30000000000000)> |
#<alt (/ 4878157879447497/10000000000000 z)> |
#<alt (/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)> |
#<alt (/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z)> |
#<alt (/ (+ 4878157879447497/10000000000000 (+ (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) (pow z 2))) (* 2043081471118463/10000000000000 (/ 1 z)))) z)> |
#<alt (/ 4878157879447497/10000000000000 z)> |
#<alt (/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z)> |
#<alt (* -1 (/ (- (* -1 (/ (- 2043081471118463/10000000000000 (* 19053539921092667/10000000000000 (/ 1 z))) z)) 4878157879447497/10000000000000) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2043081471118463/10000000000000 (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) z))) z)) 4878157879447497/10000000000000) z))> |
#<alt 7713234287776531/30000000000000> |
#<alt (+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))> |
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))> |
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))> |
#<alt (/ -7713234287776531/10000000000000 z)> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))> |
#<alt (/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z)> |
#<alt (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)> |
#<alt (/ -7713234287776531/10000000000000 z)> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | inf | (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) |
| 5.0ms | z | @ | 0 | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
| 3.0ms | z | @ | -inf | (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
| 3.0ms | z | @ | inf | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
| 2.0ms | z | @ | -inf | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
| 1× | batch-egg-rewrite |
| 4 352× | *-lowering-*.f32 |
| 4 352× | *-lowering-*.f64 |
| 3 692× | /-lowering-/.f32 |
| 3 692× | /-lowering-/.f64 |
| 2 986× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 185 |
| 1 | 593 | 176 |
| 2 | 7326 | 176 |
| 0 | 8340 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) |
(+ (+ (- (- 1 z) 1) 7) 1/2) |
(+ (- (- 1 z) 1) 7) |
(- (- 1 z) 1) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64))))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) |
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)) |
(+.f64 #s(literal 7 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) #s(literal 7 binary64)) |
(+.f64 #s(literal 15/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 15/2 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) |
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -6 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal 13/2 binary64)) |
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 15/2 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) #s(literal 13/2 binary64)) |
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 7 binary64)) |
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 343 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 49 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64))))) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 15/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) #s(literal 13/2 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(literal 13/2 binary64)) |
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3/2 binary64))) #s(literal 7 binary64)) |
(fma.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -49 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -8 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 15/2 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 13/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 3375/8 binary64)) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 225/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 225/4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 15/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) (-.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) |
(*.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -11/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -6 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) |
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64)) |
(+.f64 #s(literal 7 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(+.f64 (+.f64 #s(literal 7 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))) |
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64)) |
(-.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) z)) |
(-.f64 (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -8 binary64))) (/.f64 #s(literal 49 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -8 binary64)))) |
(-.f64 (+.f64 #s(literal 7 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal 6 binary64)) |
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 7 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) #s(literal 6 binary64)) |
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) #s(literal 7 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) #s(literal 6 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) #s(literal 6 binary64)) |
(fma.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 7 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 #s(literal 49 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 7 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) #s(literal 343 binary64)))) |
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| 1× | egg-herbie |
| 15 462× | accelerator-lowering-fma.f32 |
| 15 462× | accelerator-lowering-fma.f64 |
| 6 128× | *-lowering-*.f32 |
| 6 128× | *-lowering-*.f64 |
| 5 796× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 2990 |
| 1 | 1405 | 2863 |
| 2 | 4538 | 2568 |
| 0 | 8764 | 2464 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) |
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI)))) |
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) |
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
15/2 |
(+ 15/2 (* -1 z)) |
(+ 15/2 (* -1 z)) |
(+ 15/2 (* -1 z)) |
(* -1 z) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
7 |
(+ 7 (* -1 z)) |
(+ 7 (* -1 z)) |
(+ 7 (* -1 z)) |
(* -1 z) |
(* z (- (* 7 (/ 1 z)) 1)) |
(* z (- (* 7 (/ 1 z)) 1)) |
(* z (- (* 7 (/ 1 z)) 1)) |
(* -1 z) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) |
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(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
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(/ 4878157879447497/10000000000000 z) |
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z) |
(/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z) |
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(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z) |
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z) |
(/ -7713234287776531/10000000000000 z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z)) |
| Outputs |
|---|
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) |
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) |
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) |
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z))) (*.f64 (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))))))) z))) |
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) |
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 (PI.f64)) z) (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))))))) (*.f64 z (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)))))))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))))))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
15/2 |
#s(literal 15/2 binary64) |
(+ 15/2 (* -1 z)) |
(-.f64 #s(literal 15/2 binary64) z) |
(+ 15/2 (* -1 z)) |
(-.f64 #s(literal 15/2 binary64) z) |
(+ 15/2 (* -1 z)) |
(-.f64 #s(literal 15/2 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
(* z (- (* 15/2 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
(* -1 (* z (- 1 (* 15/2 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 15/2 binary64) z))) |
7 |
#s(literal 7 binary64) |
(+ 7 (* -1 z)) |
(-.f64 #s(literal 7 binary64) z) |
(+ 7 (* -1 z)) |
(-.f64 #s(literal 7 binary64) z) |
(+ 7 (* -1 z)) |
(-.f64 #s(literal 7 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* z (- (* 7 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* z (- (* 7 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* z (- (* 7 (/ 1 z)) 1)) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* -1 (* z (- 1 (* 7 (/ 1 z))))) |
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 7 binary64) z))) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* -1 z) |
(-.f64 #s(literal 0 binary64) z) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (*.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64)))) (*.f64 z (sqrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) z) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) |
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(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z)))) |
(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) |
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z)))))) |
(+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64))))))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) |
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2)))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))) |
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2))))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z (*.f64 z z)))))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)) |
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2)))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)))) |
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) z)) |
-11173853963059511/30000000000000 |
#s(literal -11173853963059511/30000000000000 binary64) |
(- (* -5154349522119383/22500000000000 z) 11173853963059511/30000000000000) |
(+.f64 (*.f64 z #s(literal -5154349522119383/22500000000000 binary64)) #s(literal -11173853963059511/30000000000000 binary64)) |
(- (* z (- (* -69565428553209127/540000000000000 z) 5154349522119383/22500000000000)) 11173853963059511/30000000000000) |
(+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64)) |
(- (* z (- (* z (- (* -224122754235180443/3240000000000000 z) 69565428553209127/540000000000000)) 5154349522119383/22500000000000)) 11173853963059511/30000000000000) |
(+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z (+.f64 #s(literal -69565428553209127/540000000000000 binary64) (*.f64 z #s(literal -224122754235180443/3240000000000000 binary64)))))) #s(literal -11173853963059511/30000000000000 binary64)) |
(/ 4878157879447497/10000000000000 z) |
(/.f64 #s(literal 4878157879447497/10000000000000 binary64) z) |
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 #s(literal 2043081471118463/10000000000000 binary64) z)) z) |
(/ (- (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) (/ 19053539921092667/10000000000000 (pow z 2))) z) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (+.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 #s(literal -19053539921092667/10000000000000 binary64) z)) z)) z) |
(/ (+ 4878157879447497/10000000000000 (+ (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) (pow z 2))) (* 2043081471118463/10000000000000 (/ 1 z)))) z) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 (+.f64 #s(literal 19053539921092667/10000000000000 binary64) (/.f64 #s(literal 107526188432174113/10000000000000 binary64) z)) z)) z)) z) |
(/ 4878157879447497/10000000000000 z) |
(/.f64 #s(literal 4878157879447497/10000000000000 binary64) z) |
(/ (+ 4878157879447497/10000000000000 (* 2043081471118463/10000000000000 (/ 1 z))) z) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 #s(literal 2043081471118463/10000000000000 binary64) z)) z) |
(* -1 (/ (- (* -1 (/ (- 2043081471118463/10000000000000 (* 19053539921092667/10000000000000 (/ 1 z))) z)) 4878157879447497/10000000000000) z)) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (+.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 #s(literal -19053539921092667/10000000000000 binary64) z)) z)) z) |
(* -1 (/ (- (* -1 (/ (+ 2043081471118463/10000000000000 (* -1 (/ (+ 19053539921092667/10000000000000 (* 107526188432174113/10000000000000 (/ 1 z))) z))) z)) 4878157879447497/10000000000000) z)) |
(/.f64 (+.f64 #s(literal 4878157879447497/10000000000000 binary64) (/.f64 (-.f64 #s(literal 2043081471118463/10000000000000 binary64) (/.f64 (+.f64 #s(literal 19053539921092667/10000000000000 binary64) (/.f64 #s(literal 107526188432174113/10000000000000 binary64) z)) z)) z)) z) |
7713234287776531/30000000000000 |
#s(literal 7713234287776531/30000000000000 binary64) |
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z)) |
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z #s(literal 7713234287776531/90000000000000 binary64))) |
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z)))) |
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z #s(literal 7713234287776531/270000000000000 binary64))))) |
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z)))))) |
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/270000000000000 binary64) (*.f64 z #s(literal 7713234287776531/810000000000000 binary64))))))) |
(/ -7713234287776531/10000000000000 z) |
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal -23139702863329593/10000000000000 binary64) z)) z) |
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z) |
(/.f64 (-.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (+.f64 #s(literal 23139702863329593/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) z)) z)) z) |
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z) |
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (-.f64 #s(literal -23139702863329593/10000000000000 binary64) (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) z)) z)) z) |
(/ -7713234287776531/10000000000000 z) |
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal -23139702863329593/10000000000000 binary64) z)) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z)) |
(/.f64 (+.f64 (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z) (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z)) |
(/.f64 (+.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 (-.f64 #s(literal -23139702863329593/10000000000000 binary64) (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) z)) z)) z) |
Compiled 121 129 to 5 819 computations (95.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 984 | 13 | 997 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 986 | 13 | 999 |
| Status | Accuracy | Program |
|---|---|---|
| 96.4% | (/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) | |
| ▶ | 97.2% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 96.1% | (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) | |
| 96.4% | (*.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) | |
| ▶ | 94.0% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| 95.9% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) | |
| 95.7% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z #s(literal -5154349522119383/22500000000000 binary64)) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) | |
| 95.1% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -11173853963059511/30000000000000 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) | |
| ▶ | 95.3% | (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| ▶ | 97.0% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ▶ | 94.6% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) |
| 96.2% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) | |
| 96.1% | (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
Compiled 1 996 to 1 404 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 5 616× | *-lowering-*.f32 |
| 5 616× | *-lowering-*.f64 |
| 5 510× | accelerator-lowering-fma.f32 |
| 5 510× | accelerator-lowering-fma.f64 |
| 3 682× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 2089 |
| 1 | 309 | 2059 |
| 2 | 1390 | 2000 |
| 0 | 8515 | 2000 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
(PI) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 15/2 z) |
15/2 |
z |
(- 1/2 z) |
1/2 |
(exp (- 15/2 z)) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
9999999999998099/10000000000000000 |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
7713234287776531/10000000000000 |
(- 3 z) |
3 |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(/ -883075145810703/5000000000000 (- 4 z)) |
-883075145810703/5000000000000 |
(- 4 z) |
4 |
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) |
(/ 2501468655737381/200000000000000 (- 5 z)) |
2501468655737381/200000000000000 |
(- 5 z) |
5 |
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) |
(/ -3464277381643003/25000000000000000 (- 6 z)) |
-3464277381643003/25000000000000000 |
(- 6 z) |
6 |
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) |
(/ 2496092394504893/250000000000000000000 (- 7 z)) |
2496092394504893/250000000000000000000 |
(- 7 z) |
7 |
(/ 3764081837873279/25000000000000000000000 (- 8 z)) |
3764081837873279/25000000000000000000000 |
(- 8 z) |
8 |
(sin (* (PI) z)) |
(* (PI) z) |
(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) |
(* (sqrt 2) (sqrt 15/2)) |
(sqrt 2) |
2 |
(sqrt 15/2) |
15/2 |
(* z (exp 15/2)) |
z |
(exp 15/2) |
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) |
(sqrt (PI)) |
(PI) |
1106209385320415913103082059/4200000000000000000000000 |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
(PI) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 15/2 z) |
15/2 |
z |
(- 1/2 z) |
1/2 |
(exp (- 15/2 z)) |
(* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
(/ (PI) (sin (* (PI) z))) |
(sin (* (PI) z)) |
(* (PI) z) |
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))) |
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) |
9999999999998099/10000000000000000 |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
7713234287776531/30000000000000 |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(/ -883075145810703/5000000000000 (- 4 z)) |
-883075145810703/5000000000000 |
(- 4 z) |
4 |
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) |
(/ 2501468655737381/200000000000000 (- 5 z)) |
2501468655737381/200000000000000 |
(- 5 z) |
5 |
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) |
(/ -3464277381643003/25000000000000000 (- 6 z)) |
-3464277381643003/25000000000000000 |
(- 6 z) |
6 |
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) |
(/ 2496092394504893/250000000000000000000 (- 7 z)) |
2496092394504893/250000000000000000000 |
(- 7 z) |
7 |
(/ 3764081837873279/25000000000000000000000 (- 8 z)) |
3764081837873279/25000000000000000000000 |
(- 8 z) |
8 |
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) |
(PI) |
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))) |
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) |
(exp (- 15/2 z)) |
(- 15/2 z) |
15/2 |
z |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 1/2 z) |
1/2 |
(sin (* (PI) z)) |
(* (PI) z) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
9999999999998099/10000000000000000 |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
7713234287776531/10000000000000 |
(- 3 z) |
3 |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(/ -883075145810703/5000000000000 (- 4 z)) |
-883075145810703/5000000000000 |
(- 4 z) |
4 |
(+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))) |
(/ 2501468655737381/200000000000000 (- 5 z)) |
2501468655737381/200000000000000 |
(- 5 z) |
5 |
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) |
(/ -3464277381643003/25000000000000000 (- 6 z)) |
-3464277381643003/25000000000000000 |
(- 6 z) |
6 |
(+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) |
(/ 2496092394504893/250000000000000000000 (- 7 z)) |
2496092394504893/250000000000000000000 |
(- 7 z) |
7 |
(/ 3764081837873279/25000000000000000000000 (- 8 z)) |
3764081837873279/25000000000000000000000 |
(- 8 z) |
8 |
(* (/ (PI) (sin (* (PI) z))) (* (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) |
(/ (PI) (sin (* (PI) z))) |
(PI) |
(sin (* (PI) z)) |
(* (PI) z) |
z |
(* (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) |
(/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) |
(* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
2 |
(pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) |
(+ (- 1 z) 13/2) |
(- 1 z) |
1 |
13/2 |
(+ (- 1 z) -1/2) |
-1/2 |
(exp (+ (- 1 z) 13/2)) |
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))) |
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) |
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) |
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) |
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) |
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) |
9999999999998099/10000000000000000 |
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) |
6765203681218851/10000000000000 |
(+ (- (- 1 z) 1) 1) |
(- (- 1 z) 1) |
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) |
-3147848041806007/2500000000000 |
(+ (- (- 1 z) 1) 2) |
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) |
7713234287776531/10000000000000 |
(+ (- (- 1 z) 1) 3) |
3 |
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) |
-883075145810703/5000000000000 |
(+ (- (- 1 z) 1) 4) |
4 |
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) |
2501468655737381/200000000000000 |
(+ (- (- 1 z) 1) 5) |
5 |
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) |
-3464277381643003/25000000000000000 |
(+ (- (- 1 z) 1) 6) |
6 |
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) |
2496092394504893/250000000000000000000 |
(+ (- (- 1 z) 1) 7) |
7 |
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) |
3764081837873279/25000000000000000000000 |
(+ (- (- 1 z) 1) 8) |
8 |
| Outputs |
|---|
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (/.f64 (PI.f64) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) z)) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(pow (- 15/2 z) (- 1/2 z)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(- 15/2 z) |
(-.f64 #s(literal 15/2 binary64) z) |
15/2 |
#s(literal 15/2 binary64) |
z |
(- 1/2 z) |
(-.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
(exp (- 15/2 z)) |
(exp.f64 (-.f64 #s(literal 15/2 binary64) z)) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(*.f64 (PI.f64) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))) |
(+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
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(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))) |
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))) |
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) |
(+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) |
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) |
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) |
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)) |
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) |
6765203681218851/10000000000000 |
#s(literal 6765203681218851/10000000000000 binary64) |
(+ (- (- 1 z) 1) 1) |
(-.f64 #s(literal 1 binary64) z) |
(- (- 1 z) 1) |
(-.f64 #s(literal 0 binary64) z) |
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)) |
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) |
-3147848041806007/2500000000000 |
#s(literal -3147848041806007/2500000000000 binary64) |
(+ (- (- 1 z) 1) 2) |
(-.f64 #s(literal 2 binary64) z) |
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
7713234287776531/10000000000000 |
#s(literal 7713234287776531/10000000000000 binary64) |
(+ (- (- 1 z) 1) 3) |
(-.f64 #s(literal 3 binary64) z) |
3 |
#s(literal 3 binary64) |
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)) |
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) |
-883075145810703/5000000000000 |
#s(literal -883075145810703/5000000000000 binary64) |
(+ (- (- 1 z) 1) 4) |
(-.f64 #s(literal 4 binary64) z) |
4 |
#s(literal 4 binary64) |
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)) |
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) |
2501468655737381/200000000000000 |
#s(literal 2501468655737381/200000000000000 binary64) |
(+ (- (- 1 z) 1) 5) |
(-.f64 #s(literal 5 binary64) z) |
5 |
#s(literal 5 binary64) |
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)) |
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) |
-3464277381643003/25000000000000000 |
#s(literal -3464277381643003/25000000000000000 binary64) |
(+ (- (- 1 z) 1) 6) |
(-.f64 #s(literal 6 binary64) z) |
6 |
#s(literal 6 binary64) |
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)) |
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) |
2496092394504893/250000000000000000000 |
#s(literal 2496092394504893/250000000000000000000 binary64) |
(+ (- (- 1 z) 1) 7) |
(-.f64 #s(literal 7 binary64) z) |
7 |
#s(literal 7 binary64) |
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)) |
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) |
3764081837873279/25000000000000000000000 |
#s(literal 3764081837873279/25000000000000000000000 binary64) |
(+ (- (- 1 z) 1) 8) |
(-.f64 #s(literal 8 binary64) z) |
8 |
#s(literal 8 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) |
| ✓ | accuracy | 95.7% | (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 9.3% | (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 98.1% | (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 7713234287776531/30000000000000 binary64)) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | accuracy | 99.6% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 98.5% | (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| 365.0ms | 176× | 1 | valid |
| 146.0ms | 56× | 2 | valid |
| 23.0ms | 23× | 0 | valid |
| 1.0ms | 1× | 0 | exit |
Compiled 2 317 to 117 computations (95% saved)
ival-div: 91.0ms (23.1% of total)ival-add: 62.0ms (15.7% of total)const: 60.0ms (15.2% of total)ival-mult: 46.0ms (11.7% of total)adjust: 44.0ms (11.2% of total)ival-sub: 30.0ms (7.6% of total)ival-pow: 21.0ms (5.3% of total)ival-exp: 17.0ms (4.3% of total)ival-sqrt: 13.0ms (3.3% of total)ival-sin: 4.0ms (1% of total)ival-pi: 3.0ms (0.8% of total)exact: 3.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z)))> |
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))))> |
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))> |
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))> |
#<alt (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))> |
#<alt (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))> |
#<alt (* (sqrt 2) (sqrt 15/2))> |
#<alt (sqrt 2)> |
#<alt (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)))> |
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))> |
#<alt (* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))> |
#<alt (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))> |
#<alt (PI)> |
#<alt (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))> |
#<alt (+ (- 1 z) 13/2)> |
#<alt (+ (- 1 z) -1/2)> |
#<alt (+ (- (- 1 z) 1) 1)> |
#<alt (- (- 1 z) 1)> |
#<alt (sqrt (* (PI) 2))> |
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))> |
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))> |
#<alt (sqrt (PI))> |
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000)> |
#<alt (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))> |
#<alt (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))> |
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))> |
#<alt (/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2)))> |
| Outputs |
|---|
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)> |
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#<alt (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2))))> |
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#<alt (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (* (* z (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))> |
#<alt (+ (* z (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (* (* z (- (* -1/6 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (/ (* (exp 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt 479507597606835099/10000000000000000> |
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))> |
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))> |
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))> |
#<alt 9999999999998099/10000000000000000> |
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))> |
#<alt 9999999999998099/10000000000000000> |
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))> |
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))> |
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))> |
#<alt (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))> |
#<alt (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))> |
#<alt (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))> |
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000) |
| 3.0ms | z | @ | inf | (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
| 2.0ms | z | @ | 0 | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
| 2.0ms | z | @ | -inf | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) |
| 2.0ms | z | @ | -inf | (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))) |
| 1× | batch-egg-rewrite |
| 5 152× | *-lowering-*.f32 |
| 5 152× | *-lowering-*.f64 |
| 4 078× | /-lowering-/.f32 |
| 4 078× | /-lowering-/.f64 |
| 3 008× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 576 |
| 1 | 730 | 564 |
| 0 | 8340 | 564 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) |
(* (sqrt 2) (sqrt 15/2)) |
(sqrt 2) |
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) |
(PI) |
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))) |
(+ (- 1 z) 13/2) |
(+ (- 1 z) -1/2) |
(+ (- (- 1 z) 1) 1) |
(- (- 1 z) 1) |
(sqrt (* (PI) 2)) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))))))))) |
(sqrt (PI)) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) 7713234287776531/30000000000000) |
(+ (/ -883075145810703/5000000000000 (- 4 z)) (+ (/ 2501468655737381/200000000000000 (- 5 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z)))))) |
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) |
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) |
(/ (* (sqrt (* (PI) 2)) (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2))) (exp (+ (- 1 z) 13/2))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) #s(literal 9999999999998099/10000000000000000 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))))) (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) #s(literal 9999999999998099/10000000000000000 binary64))) |
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| 1× | egg-herbie |
| 9 556× | accelerator-lowering-fma.f32 |
| 9 556× | accelerator-lowering-fma.f64 |
| 7 262× | *-lowering-*.f32 |
| 7 262× | *-lowering-*.f64 |
| 3 816× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 781 | 9512 |
| 1 | 2442 | 9207 |
| 2 | 7700 | 9205 |
| 0 | 8010 | 8848 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) |
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(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) |
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(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) |
(+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI)))) |
(+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) |
(+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
| Outputs |
|---|
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) |
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) |
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(+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z)))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
Compiled 185 849 to 8 161 computations (95.6% saved)
29 alts after pruning (29 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 831 | 27 | 1 858 |
| Fresh | 6 | 2 | 8 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 842 | 29 | 1 871 |
| Status | Accuracy | Program |
|---|---|---|
| 96.4% | (/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) | |
| 95.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))) (*.f64 (*.f64 z z) (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64) z)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 94.9% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) z)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| ▶ | 94.7% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
| ▶ | 97.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 96.9% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 96.7% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 96.6% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z #s(literal -5154349522119383/22500000000000 binary64)) #s(literal -11173853963059511/30000000000000 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 94.8% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)) (exp.f64 #s(literal 15/2 binary64))) | |
| 95.4% | (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 95.9% | (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) | |
| 95.9% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -5154349522119383/22500000000000 binary64) (*.f64 z #s(literal -69565428553209127/540000000000000 binary64)))) #s(literal -11173853963059511/30000000000000 binary64)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))))) | |
| 95.3% | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 94.9% | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z)) | |
| 96.1% | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (exp.f64 #s(literal 15/2 binary64)))) | |
| 96.0% | (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) | |
| ▶ | 96.8% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) |
| 96.7% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) | |
| 96.0% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) | |
| 94.6% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) | |
| 95.7% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) | |
| 95.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (exp.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 95.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) | |
| ▶ | 95.3% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) |
| 95.8% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 95.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 95.3% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) | |
| ▶ | 95.5% | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) |
| 94.9% | (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64))))) |
Compiled 2 276 to 1 694 computations (25.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 15 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 15 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) |
| 8 078× | accelerator-lowering-fma.f32 |
| 8 078× | accelerator-lowering-fma.f64 |
| 6 194× | *-lowering-*.f32 |
| 6 194× | *-lowering-*.f64 |
| 3 948× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 957 |
| 1 | 176 | 943 |
| 2 | 663 | 941 |
| 3 | 3460 | 941 |
| 4 | 6966 | 941 |
| 5 | 7582 | 941 |
| 0 | 8001 | 895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
(PI) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 15/2 z) |
15/2 |
z |
(- 1/2 z) |
1/2 |
(exp (- 15/2 z)) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))) |
9999999999998099/10000000000000000 |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
7713234287776531/10000000000000 |
(- 3 z) |
3 |
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000) |
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) |
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))) |
-7438431377385067353648047161/705600000000000000000000000 |
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))) |
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)) |
-315341357520700009111955479981/118540800000000000000000000000 |
(* z -13342905177403410807236385630001/19914854400000000000000000000000) |
-13342905177403410807236385630001/19914854400000000000000000000000 |
-175036605963169168476917941/4200000000000000000000000 |
(sin (* (PI) z)) |
(* (PI) z) |
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI))) |
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) |
(/ (sqrt 15) (* z (exp 15/2))) |
(sqrt 15) |
15 |
(* z (exp 15/2)) |
z |
(exp 15/2) |
15/2 |
1106209385320415913103082059/4200000000000000000000000 |
(sqrt (PI)) |
(PI) |
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))) |
(sqrt 15) |
15 |
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
(/ 1 (* z (exp 15/2))) |
1 |
(* z (exp 15/2)) |
z |
(exp 15/2) |
15/2 |
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) |
(sqrt (PI)) |
(PI) |
1106209385320415913103082059/4200000000000000000000000 |
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
(PI) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 15/2 z) |
15/2 |
z |
(- 1/2 z) |
1/2 |
(exp (- 15/2 z)) |
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) |
1106209385320415913103082059/4200000000000000000000000 |
(* 102757979785251069442117317613/235200000000000000000000000 z) |
102757979785251069442117317613/235200000000000000000000000 |
(sin (* (PI) z)) |
(* (PI) z) |
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) |
(PI) |
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))) |
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) |
(exp (- 15/2 z)) |
(- 15/2 z) |
15/2 |
z |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(sqrt (* (PI) 2)) |
(* (PI) 2) |
2 |
(pow (- 15/2 z) (- 1/2 z)) |
(- 1/2 z) |
1/2 |
(sin (* (PI) z)) |
(* (PI) z) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))) |
9999999999998099/10000000000000000 |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
6765203681218851/10000000000000 |
(- 1 z) |
1 |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
-3147848041806007/2500000000000 |
(- 2 z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
7713234287776531/10000000000000 |
(- 3 z) |
3 |
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000) |
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) |
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))) |
-7438431377385067353648047161/705600000000000000000000000 |
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))) |
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)) |
-315341357520700009111955479981/118540800000000000000000000000 |
(* z -13342905177403410807236385630001/19914854400000000000000000000000) |
-13342905177403410807236385630001/19914854400000000000000000000000 |
-175036605963169168476917941/4200000000000000000000000 |
| Outputs |
|---|
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z)))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(pow (- 15/2 z) (- 1/2 z)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(- 15/2 z) |
(-.f64 #s(literal 15/2 binary64) z) |
15/2 |
#s(literal 15/2 binary64) |
z |
(- 1/2 z) |
(-.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
(exp (- 15/2 z)) |
(exp.f64 (-.f64 #s(literal 15/2 binary64) z)) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))) |
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)) |
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) (+.f64 #s(literal -175036605963169168476917941/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))))) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) |
6765203681218851/10000000000000 |
#s(literal 6765203681218851/10000000000000 binary64) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) |
-3147848041806007/2500000000000 |
#s(literal -3147848041806007/2500000000000 binary64) |
(- 2 z) |
(-.f64 #s(literal 2 binary64) z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
7713234287776531/10000000000000 |
#s(literal 7713234287776531/10000000000000 binary64) |
(- 3 z) |
(-.f64 #s(literal 3 binary64) z) |
3 |
#s(literal 3 binary64) |
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000) |
(+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)) |
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) |
(*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) |
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))) |
(+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))) |
-7438431377385067353648047161/705600000000000000000000000 |
#s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) |
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))) |
(*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))) |
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)) |
(+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))) |
-315341357520700009111955479981/118540800000000000000000000000 |
#s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) |
(* z -13342905177403410807236385630001/19914854400000000000000000000000) |
(*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)) |
-13342905177403410807236385630001/19914854400000000000000000000000 |
#s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64) |
-175036605963169168476917941/4200000000000000000000000 |
#s(literal -175036605963169168476917941/4200000000000000000000000 binary64) |
(sin (* (PI) z)) |
(sin.f64 (*.f64 (PI.f64) z)) |
(* (PI) z) |
(*.f64 (PI.f64) z) |
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) |
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
(/ (sqrt 15) (* z (exp 15/2))) |
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
(sqrt 15) |
(sqrt.f64 #s(literal 15 binary64)) |
15 |
#s(literal 15 binary64) |
(* z (exp 15/2)) |
(*.f64 z (exp.f64 #s(literal 15/2 binary64))) |
z |
(exp 15/2) |
(exp.f64 #s(literal 15/2 binary64)) |
15/2 |
#s(literal 15/2 binary64) |
1106209385320415913103082059/4200000000000000000000000 |
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) |
(sqrt 15) |
(sqrt.f64 #s(literal 15 binary64)) |
15 |
#s(literal 15 binary64) |
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
(/ 1 (* z (exp 15/2))) |
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z) |
1 |
#s(literal 1 binary64) |
(* z (exp 15/2)) |
(*.f64 z (exp.f64 #s(literal 15/2 binary64))) |
z |
(exp 15/2) |
(exp.f64 #s(literal 15/2 binary64)) |
15/2 |
#s(literal 15/2 binary64) |
(* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) |
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
1106209385320415913103082059/4200000000000000000000000 |
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) |
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(pow (- 15/2 z) (- 1/2 z)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(- 15/2 z) |
(-.f64 #s(literal 15/2 binary64) z) |
15/2 |
#s(literal 15/2 binary64) |
z |
(- 1/2 z) |
(-.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
(exp (- 15/2 z)) |
(exp.f64 (-.f64 #s(literal 15/2 binary64) z)) |
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) |
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) |
1106209385320415913103082059/4200000000000000000000000 |
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) |
(* 102757979785251069442117317613/235200000000000000000000000 z) |
(*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)) |
102757979785251069442117317613/235200000000000000000000000 |
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) |
(sin (* (PI) z)) |
(sin.f64 (*.f64 (PI.f64) z)) |
(* (PI) z) |
(*.f64 (PI.f64) z) |
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 (PI.f64) z)))) |
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) |
(/.f64 (PI.f64) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))) |
(PI) |
(PI.f64) |
(* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))) |
(*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) |
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) |
(/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) |
(exp (- 15/2 z)) |
(exp.f64 (-.f64 #s(literal 15/2 binary64) z)) |
(- 15/2 z) |
(-.f64 #s(literal 15/2 binary64) z) |
15/2 |
#s(literal 15/2 binary64) |
z |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) |
(sqrt (* (PI) 2)) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(* (PI) 2) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(pow (- 15/2 z) (- 1/2 z)) |
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) |
(- 1/2 z) |
(-.f64 #s(literal 1/2 binary64) z) |
1/2 |
#s(literal 1/2 binary64) |
(sin (* (PI) z)) |
(sin.f64 (*.f64 (PI.f64) z)) |
(* (PI) z) |
(*.f64 (PI.f64) z) |
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))) |
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)))) |
9999999999998099/10000000000000000 |
#s(literal 9999999999998099/10000000000000000 binary64) |
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)) |
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) (+.f64 #s(literal -175036605963169168476917941/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))))) |
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) |
(/ 6765203681218851/10000000000000 (- 1 z)) |
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) |
6765203681218851/10000000000000 |
#s(literal 6765203681218851/10000000000000 binary64) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
(/ -3147848041806007/2500000000000 (- 2 z)) |
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) |
-3147848041806007/2500000000000 |
#s(literal -3147848041806007/2500000000000 binary64) |
(- 2 z) |
(-.f64 #s(literal 2 binary64) z) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
7713234287776531/10000000000000 |
#s(literal 7713234287776531/10000000000000 binary64) |
(- 3 z) |
(-.f64 #s(literal 3 binary64) z) |
3 |
#s(literal 3 binary64) |
(+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000) |
(+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)) |
(* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) |
(*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) |
(+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)))) |
(+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))) |
-7438431377385067353648047161/705600000000000000000000000 |
#s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) |
(* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))) |
(*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))) |
(+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000)) |
(+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))) |
-315341357520700009111955479981/118540800000000000000000000000 |
#s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) |
(* z -13342905177403410807236385630001/19914854400000000000000000000000) |
(*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)) |
-13342905177403410807236385630001/19914854400000000000000000000000 |
#s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64) |
-175036605963169168476917941/4200000000000000000000000 |
#s(literal -175036605963169168476917941/4200000000000000000000000 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 98.1% | (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
| ✓ | accuracy | 98.5% | (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.5% | (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 99.0% | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 98.5% | (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) |
| ✓ | accuracy | 98.5% | (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) |
| 201.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 0 | exit |
Compiled 961 to 69 computations (92.8% saved)
ival-mult: 53.0ms (36.5% of total)const: 36.0ms (24.8% of total)ival-div: 15.0ms (10.3% of total)ival-sqrt: 11.0ms (7.6% of total)ival-add: 8.0ms (5.5% of total)ival-sub: 6.0ms (4.1% of total)ival-pow: 6.0ms (4.1% of total)ival-exp: 5.0ms (3.4% of total)ival-sin: 2.0ms (1.4% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))> |
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z)))> |
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))))> |
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))> |
#<alt (* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)))> |
#<alt (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000)> |
#<alt (/ (sqrt 15) (* z (exp 15/2)))> |
#<alt (sqrt 15)> |
#<alt (/ 1 (* z (exp 15/2)))> |
#<alt (* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)))> |
#<alt (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))> |
#<alt (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z)))> |
#<alt (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))))> |
#<alt (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))> |
#<alt (* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))> |
#<alt (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z))))> |
#<alt (PI)> |
#<alt (sqrt (* (PI) 2))> |
#<alt (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))> |
#<alt (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))> |
#<alt (sqrt (PI))> |
#<alt (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))> |
#<alt (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))))> |
#<alt (/ 7713234287776531/10000000000000 (- 3 z))> |
| Outputs |
|---|
#<alt 1106209385320415913103082059/4200000000000000000000000> |
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))> |
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))> |
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))> |
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))> |
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))> |
#<alt (* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000))> |
#<alt (* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))> |
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3))> |
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)))))> |
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2))))))> |
#<alt (* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z)))))> |
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)> |
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)> |
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))> |
#<alt (* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))> |
#<alt (* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))> |
#<alt (* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))))> |
#<alt (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))> |
#<alt (* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))))> |
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))> |
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (pow (PI) 3))))> |
#<alt (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (pow (PI) 3))))))> |
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#<alt (+ (* z (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (* (* z (- (* -1/6 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (/ (* (exp 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))> |
#<alt 7713234287776531/30000000000000> |
#<alt (+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z))> |
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z))))> |
#<alt (+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z))))))> |
#<alt (/ -7713234287776531/10000000000000 z)> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))> |
#<alt (/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z)> |
#<alt (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z)> |
#<alt (/ -7713234287776531/10000000000000 z)> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z))> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z))> |
#<alt (* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z))) |
| 4.0ms | z | @ | 0 | (* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI))) |
| 3.0ms | z | @ | 0 | (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) |
| 2.0ms | z | @ | 0 | (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z))) |
| 2.0ms | z | @ | -inf | (/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z))) |
| 1× | batch-egg-rewrite |
| 4 490× | *-lowering-*.f32 |
| 4 490× | *-lowering-*.f64 |
| 3 188× | pow-lowering-pow.f64 |
| 3 188× | pow-lowering-pow.f32 |
| 3 170× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 451 |
| 1 | 438 | 439 |
| 2 | 4533 | 437 |
| 0 | 8427 | 419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))) |
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000))))) |
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) |
(* (* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI))) |
(* (/ (sqrt 15) (* z (exp 15/2))) 1106209385320415913103082059/4200000000000000000000000) |
(/ (sqrt 15) (* z (exp 15/2))) |
(sqrt 15) |
(/ 1 (* z (exp 15/2))) |
(* (sqrt 15) (* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000))) |
(* (/ 1 (* z (exp 15/2))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000)) |
(/ (* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) (sin (* (PI) z))) |
(* (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)))) |
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) |
(* (/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(/ (PI) (* (/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) (sin (* (PI) z)))) |
(PI) |
(sqrt (* (PI) 2)) |
(+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z))) |
(* (PI) (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (+ (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)))) (+ (* z (+ -7438431377385067353648047161/705600000000000000000000000 (* z (+ -315341357520700009111955479981/118540800000000000000000000000 (* z -13342905177403410807236385630001/19914854400000000000000000000000))))) -175036605963169168476917941/4200000000000000000000000)))) |
(sqrt (PI)) |
(* (PI) (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))) |
(/ (exp (- 15/2 z)) (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))) |
(/ 7713234287776531/10000000000000 (- 3 z)) |
| Outputs |
|---|
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) |
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))) #s(literal 9999999999998099/10000000000000000 binary64))) |
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)) #s(literal 9999999999998099/10000000000000000 binary64))) |
(+.f64 (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) #s(literal 9999999999998099/10000000000000000 binary64)) |
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))) |
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))))))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)) |
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(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 #s(literal 15/2 binary64))) #s(literal -1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) |
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)))) |
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z))) |
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) |
(*.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) z))) |
(*.f64 #s(literal -7713234287776531/10000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 7713234287776531/10000000000000 binary64)) |
(*.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 9 binary64) (*.f64 z (+.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 9 binary64) (*.f64 z z))) (+.f64 z #s(literal 3 binary64))) |
| 1× | egg-herbie |
| 8 864× | accelerator-lowering-fma.f32 |
| 8 864× | accelerator-lowering-fma.f64 |
| 8 478× | *-lowering-*.f32 |
| 8 478× | *-lowering-*.f64 |
| 3 282× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 726 | 9184 |
| 1 | 2470 | 8864 |
| 0 | 8140 | 8528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z)))) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z)))))) |
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3)) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
(* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000)) |
(* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3)) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2)))))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z))))) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) |
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z) |
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) |
(* (pow z 3) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))) |
(* (pow z 3) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))) |
(* (pow z 3) (+ (* -170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))) |
(* -13342905177403410807236385630001/19914854400000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) |
(* -1 (* (pow z 3) (+ (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 315341357520700009111955479981/118540800000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -7438431377385067353648047161/705600000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -315341357520700009111955479981/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1 (/ (+ (* 7438431377385067353648047161/705600000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* 170836605963169966896917941/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z))) z)) (* 13342905177403410807236385630001/19914854400000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) |
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(* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* z (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) |
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))) |
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))) |
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))) |
(* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* z (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3)))) |
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(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))))) |
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))))) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) |
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(* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* z (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (exp (- 15/2 z))) (sqrt (pow (PI) 3)))) |
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(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (exp (- 15/2 z)))) (sqrt (pow (PI) 3)))) (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))))) |
(* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (exp (- 15/2 z)))) (sqrt (pow (PI) 3)))) (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))))) |
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(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (pow (PI) 3))))))) |
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (pow (PI) 3))))))) |
(* -1 (* z (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (pow (PI) 3))))))) |
(* (sqrt (PI)) (* (sqrt 2) (sqrt 15/2))) |
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) |
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
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(+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (* (* z (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2))))) |
(+ (* z (+ (* z (+ (* (sqrt (/ 1 (PI))) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (* (* z (- (* -1/6 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* 1/2 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (- (* -1 (log 15/2)) 1/15) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))) (/ (* (exp 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (* (sqrt 2) (sqrt 15/2)))))) (/ (* (exp 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* -1 (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2)))) (/ (* (exp 15/2) (- (* -1 (log 15/2)) 1/15)) (* (sqrt 2) (sqrt 15/2))))))) (* (sqrt (/ 1 (PI))) (/ (exp 15/2) (* (sqrt 2) (sqrt 15/2))))) |
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (- 15/2 z)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
(* (sqrt (/ 1 (PI))) (/ (exp (+ 15/2 (* -1 z))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) |
7713234287776531/30000000000000 |
(+ 7713234287776531/30000000000000 (* 7713234287776531/90000000000000 z)) |
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* 7713234287776531/270000000000000 z)))) |
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z)))))) |
(/ -7713234287776531/10000000000000 z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z) |
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z) |
(/ -7713234287776531/10000000000000 z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z)) |
| Outputs |
|---|
1106209385320415913103082059/4200000000000000000000000 |
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z)) |
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z)))) |
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) |
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z)))))) |
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) |
(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3)) |
(*.f64 z (*.f64 (*.f64 z z) #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
(*.f64 (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* (pow z 3) (- (* -1 (/ (+ 315341357520700009111955479981/118540800000000000000000000000 (* 7438431377385067353648047161/705600000000000000000000000 (/ 1 z))) z)) 13342905177403410807236385630001/19914854400000000000000000000000)) |
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(* (pow z 3) (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) (pow z 2))) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
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(* -13342905177403410807236385630001/19914854400000000000000000000000 (pow z 3)) |
(*.f64 z (*.f64 (*.f64 z z) #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z))))) |
(*.f64 (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (+ (* 315341357520700009111955479981/118540800000000000000000000000 (/ 1 z)) (/ 7438431377385067353648047161/705600000000000000000000000 (pow z 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 315341357520700009111955479981/118540800000000000000000000000 binary64) z) (+.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 #s(literal 7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z z)))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (+ 13342905177403410807236385630001/19914854400000000000000000000000 (* -1 (/ (- (* -1 (/ (+ 7438431377385067353648047161/705600000000000000000000000 (* 170836605963169966896917941/4200000000000000000000000 (/ 1 z))) z)) 315341357520700009111955479981/118540800000000000000000000000) z))))) |
(*.f64 (-.f64 #s(literal 13342905177403410807236385630001/19914854400000000000000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 7438431377385067353648047161/705600000000000000000000000 binary64) (/.f64 #s(literal 170836605963169966896917941/4200000000000000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) |
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(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z #s(literal 7713234287776531/270000000000000 binary64))))) |
(+ 7713234287776531/30000000000000 (* z (+ 7713234287776531/90000000000000 (* z (+ 7713234287776531/270000000000000 (* 7713234287776531/810000000000000 z)))))) |
(+.f64 #s(literal 7713234287776531/30000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/90000000000000 binary64) (*.f64 z (+.f64 #s(literal 7713234287776531/270000000000000 binary64) (*.f64 z #s(literal 7713234287776531/810000000000000 binary64))))))) |
(/ -7713234287776531/10000000000000 z) |
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/.f64 (*.f64 (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z)) #s(literal -1 binary64)) z) |
(/ (- (* -1 (/ (+ 23139702863329593/10000000000000 (* 69419108589988779/10000000000000 (/ 1 z))) z)) 7713234287776531/10000000000000) z) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 23139702863329593/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -7713234287776531/10000000000000 binary64)) z) |
(/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) (pow z 2))) (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z)))) z) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -23139702863329593/10000000000000 binary64)) z) #s(literal 7713234287776531/10000000000000 binary64)) z) |
(/ -7713234287776531/10000000000000 z) |
(/.f64 #s(literal -7713234287776531/10000000000000 binary64) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* 23139702863329593/10000000000000 (/ 1 z))) z)) |
(/.f64 (*.f64 (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z)) #s(literal -1 binary64)) z) |
(* -1 (/ (+ 7713234287776531/10000000000000 (+ (* 23139702863329593/10000000000000 (/ 1 z)) (/ 69419108589988779/10000000000000 (pow z 2)))) z)) |
(/.f64 (+.f64 (/.f64 #s(literal 23139702863329593/10000000000000 binary64) z) (+.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 #s(literal 69419108589988779/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (+ 7713234287776531/10000000000000 (* -1 (/ (- (* -1 (/ (+ 69419108589988779/10000000000000 (* 208257325769966337/10000000000000 (/ 1 z))) z)) 23139702863329593/10000000000000) z))) z)) |
(/.f64 (-.f64 #s(literal 7713234287776531/10000000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 69419108589988779/10000000000000 binary64) (/.f64 #s(literal 208257325769966337/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -23139702863329593/10000000000000 binary64)) z)) (-.f64 #s(literal 0 binary64) z)) |
Compiled 94 374 to 5 160 computations (94.5% saved)
39 alts after pruning (38 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 648 | 29 | 1 677 |
| Fresh | 15 | 9 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 667 | 39 | 1 706 |
| Status | Accuracy | Program |
|---|---|---|
| 96.4% | (/.f64 (/.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) | |
| 95.8% | (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (-.f64 #s(literal 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000 binary64)))) (-.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 95.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z))) (*.f64 (*.f64 z z) (*.f64 (PI.f64) (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 94.9% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 97.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 95.2% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 95.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| ▶ | 94.9% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (sin.f64 (*.f64 (PI.f64) z))) |
| 97.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64)) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 96.9% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 96.7% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64)) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 97.0% | (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) z) #s(literal 7713234287776531/10000000000000 binary64))))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 94.7% | (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))) | |
| 95.5% | (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (*.f64 (-.f64 #s(literal 15/2 binary64) z) #s(literal -1 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) | |
| ▶ | 97.0% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) |
| 94.6% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (sin.f64 (*.f64 z (PI.f64))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) | |
| 94.2% | (/.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 96.2% | (/.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z))) (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))))) (sin.f64 (*.f64 (PI.f64) z))) | |
| 94.9% | (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) | |
| 94.7% | (*.f64 (pow.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) | |
| 95.9% | (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) | |
| 96.1% | (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (exp.f64 #s(literal 15/2 binary64)))) | |
| 95.8% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) | |
| 95.6% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) | |
| ▶ | 96.7% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64))))) |
| 96.0% | (*.f64 (/.f64 (PI.f64) (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) #s(literal -175036605963169168476917941/4200000000000000000000000 binary64)))) | |
| 94.6% | (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))) | |
| 95.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (exp.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) | |
| 94.6% | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) | |
| 95.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) | |
| ✓ | 95.3% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) |
| 94.8% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z)) (sqrt.f64 (PI.f64))) | |
| ▶ | 95.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) |
| 95.7% | (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (exp.f64 #s(literal -15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) | |
| 95.7% | (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64))) | |
| 95.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (*.f64 z (+.f64 #s(literal -7438431377385067353648047161/705600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal -315341357520700009111955479981/118540800000000000000000000000 binary64) (*.f64 z #s(literal -13342905177403410807236385630001/19914854400000000000000000000000 binary64)))))))) #s(literal -170836605963169966896917941/4200000000000000000000000 binary64)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))) | |
| 96.1% | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) z)) | |
| 96.1% | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))) | |
| ▶ | 95.7% | (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))) |
Compiled 2 949 to 2 184 computations (25.9% saved)
| 1× | egg-herbie |
| 6 612× | *-lowering-*.f32 |
| 6 612× | *-lowering-*.f64 |
| 6 282× | accelerator-lowering-fma.f32 |
| 6 282× | accelerator-lowering-fma.f64 |
| 4 092× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 953 |
| 1 | 220 | 949 |
| 2 | 751 | 949 |
| 3 | 3567 | 949 |
| 4 | 6692 | 949 |
| 0 | 8021 | 902 |
| 1× | iter limit |
| 1× | node limit |
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