
Time bar (total: 16.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 2 |
| 25% | 12.4% | 37.3% | 50.3% | 0% | 0% | 0% | 3 |
| 62.5% | 31.1% | 18.6% | 50.3% | 0% | 0% | 0% | 4 |
| 81.3% | 40.4% | 9.3% | 50.3% | 0% | 0% | 0% | 5 |
| 90.6% | 45% | 4.7% | 50.3% | 0% | 0% | 0% | 6 |
| 95.3% | 47.4% | 2.3% | 50.3% | 0% | 0% | 0% | 7 |
| 97.7% | 48.5% | 1.2% | 50.3% | 0% | 0% | 0% | 8 |
| 98.8% | 49.1% | 0.6% | 50.3% | 0% | 0% | 0% | 9 |
| 99.4% | 49.4% | 0.3% | 50.3% | 0% | 0% | 0% | 10 |
| 99.7% | 49.5% | 0.1% | 50.3% | 0% | 0% | 0% | 11 |
| 99.9% | 49.6% | 0.1% | 50.3% | 0% | 0% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
| 7.8s | 3 988× | 2 | valid |
| 1.4s | 4 251× | 1 | valid |
| 2.0ms | 17× | 0 | valid |
ival-tan: 7.6s (85% of total)ival-div: 432.0ms (4.8% of total)const: 376.0ms (4.2% of total)adjust: 363.0ms (4.1% of total)ival-sub: 97.0ms (1.1% of total)ival-<: 47.0ms (0.5% of total)ival-and: 14.0ms (0.2% of total)exact: 6.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) | cancellation | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 444.0ms | 236× | 2 | valid |
| 67.0ms | 276× | 1 | valid |
Compiled 50 to 22 computations (56% saved)
ival-tan: 435.0ms (90.2% of total)adjust: 21.0ms (4.4% of total)ival-div: 20.0ms (4.1% of total)ival-sub: 6.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 17 | 19 |
| 2 | 27 | 17 |
| 3 | 38 | 17 |
| 4 | 58 | 17 |
| 5 | 100 | 17 |
| 6 | 181 | 17 |
| 7 | 378 | 17 |
| 8 | 901 | 17 |
| 9 | 2391 | 17 |
| 10 | 4368 | 17 |
| 11 | 5353 | 17 |
| 12 | 5676 | 17 |
| 13 | 5848 | 17 |
| 14 | 6088 | 17 |
| 15 | 6293 | 17 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 15 | 8 |
| 2 | 18 | 8 |
| 3 | 23 | 8 |
| 4 | 32 | 8 |
| 5 | 54 | 8 |
| 6 | 92 | 8 |
| 7 | 189 | 8 |
| 8 | 460 | 8 |
| 9 | 796 | 8 |
| 10 | 1468 | 8 |
| 11 | 2558 | 8 |
| 12 | 3074 | 8 |
| 13 | 3460 | 8 |
| 14 | 3745 | 8 |
| 15 | 3871 | 8 |
| 16 | 3898 | 8 |
| 17 | 3901 | 8 |
| 18 | 3904 | 8 |
| 19 | 3916 | 8 |
| 20 | 3919 | 8 |
| 21 | 3922 | 8 |
| 22 | 3925 | 8 |
| 23 | 3928 | 8 |
| 24 | 3931 | 8 |
| 25 | 3934 | 8 |
| 26 | 3937 | 8 |
| 27 | 7619 | 8 |
| 0 | 8164 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 15 | 19 |
| 2 | 18 | 19 |
| 3 | 23 | 19 |
| 4 | 32 | 19 |
| 5 | 54 | 19 |
| 6 | 92 | 19 |
| 7 | 189 | 19 |
| 8 | 460 | 19 |
| 9 | 796 | 19 |
| 10 | 1468 | 19 |
| 11 | 2558 | 19 |
| 12 | 3074 | 19 |
| 13 | 3460 | 19 |
| 14 | 3745 | 19 |
| 15 | 3871 | 19 |
| 16 | 3898 | 19 |
| 17 | 3901 | 19 |
| 18 | 3904 | 19 |
| 19 | 3916 | 19 |
| 20 | 3919 | 19 |
| 21 | 3922 | 19 |
| 22 | 3925 | 19 |
| 23 | 3928 | 19 |
| 24 | 3931 | 19 |
| 25 | 3934 | 19 |
| 26 | 3937 | 19 |
| 27 | 7619 | 19 |
| 0 | 8164 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 x)) |
(tan.f64 x) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 x)) |
(tan.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (tan.f64 x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (tan.f64 x)) | |
| accuracy | 60.284321318659394 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 193.0ms | 118× | 2 | valid |
| 32.0ms | 138× | 1 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-tan: 191.0ms (89.2% of total)ival-div: 11.0ms (5.1% of total)adjust: 9.0ms (4.2% of total)ival-sub: 3.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (tan.f64 x)) |
(tan.f64 x) |
| Outputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(/ (cos x) (sin x)) |
(/ (sin x) (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x)) |
| 1.0ms | x | @ | inf | ((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 167 |
| 1 | 223 | 167 |
| 2 | 713 | 161 |
| 3 | 3134 | 155 |
| 4 | 7304 | 155 |
| 0 | 8582 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(/ (cos x) (sin x)) |
(/ (sin x) (cos x)) |
| Outputs |
|---|
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* -1 (/ (cos x) (sin x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/ (cos x) (sin x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 49 | 17 |
| 2 | 371 | 17 |
| 3 | 5490 | 17 |
| 0 | 8463 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (tan.f64 x)) |
(tan.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (neg.f64 (tan.f64 x)) x)) (*.f64 (neg.f64 (tan.f64 x)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sin.f64 x) x)) (cos.f64 x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) x) x) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) x) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))) |
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(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(-.f64 (/.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x))) (/.f64 x (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (/.f64 (/.f64 (tan.f64 x) x) (tan.f64 x)) (/.f64 x (*.f64 (tan.f64 x) x))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 (/.f64 (tan.f64 x) x) (tan.f64 x)) (/.f64 (neg.f64 x) (*.f64 (tan.f64 x) x))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (fabs.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) x)) |
(fabs.f64 (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(*.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (cos.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (fabs.f64 (cos.f64 x))) |
(*.f64 (fabs.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (cos.f64 x)) |
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(pow.f64 (fabs.f64 (neg.f64 (tan.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (tan.f64 x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x))))))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(/.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (tan.f64 x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (tan.f64 x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(tan.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(tan.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(tan.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))) |
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (fma.f64 #s(literal -1 binary64) x (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) |
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 x))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
(tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(tan.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64))) |
(-.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (log.f64 (tan.f64 x)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x))) |
(fabs.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 (tan.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(+.f64 (cosh.f64 (log.f64 (tan.f64 x))) (sinh.f64 (neg.f64 (log.f64 (tan.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 x)))) |
(*.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) |
(*.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x))))))) |
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) |
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))) |
(tan.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) |
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) x)) |
(tan.f64 x) |
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) |
Compiled 4 521 to 804 computations (82.2% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 3 | 239 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 237 | 3 | 240 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
| ▶ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
| ▶ | 99.3% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
Compiled 51 to 35 computations (31.4% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 113 |
| 0 | 29 | 113 |
| 1 | 53 | 113 |
| 2 | 146 | 113 |
| 3 | 522 | 113 |
| 4 | 1610 | 113 |
| 5 | 2778 | 113 |
| 6 | 3199 | 113 |
| 7 | 3556 | 113 |
| 8 | 4031 | 113 |
| 9 | 4750 | 113 |
| 10 | 6530 | 113 |
| 11 | 7829 | 113 |
| 0 | 8039 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 x x) |
x |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
#s(literal 2/945 binary64) |
(*.f64 x x) |
x |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) | |
| accuracy | 0.30859375 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.0 | (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0.3125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.1691145544004563 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.30859375 | (*.f64 #s(literal 1/3 binary64) x) |
| 286.0ms | 118× | 2 | valid |
| 99.0ms | 138× | 1 | valid |
Compiled 95 to 21 computations (77.9% saved)
ival-tan: 203.0ms (61.7% of total)ival-div: 46.0ms (14% of total)adjust: 34.0ms (10.3% of total)ival-mult: 17.0ms (5.2% of total)const: 15.0ms (4.6% of total)ival-add: 10.0ms (3% of total)ival-sub: 3.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
| Outputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
1/3 |
(+ 1/3 (* 1/45 (pow x 2))) |
(pow x 2) |
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) |
1/45 |
(+ 1/45 (* 2/945 (pow x 2))) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/45 (pow x 2)) |
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/945 (pow x 5)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(* 2/945 (pow x 4)) |
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(* 2/945 (pow x 2)) |
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45)) |
| 2.0ms | x | @ | 0 | ((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45)) |
| 2.0ms | x | @ | -inf | ((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 217 | 214 |
| 2 | 662 | 213 |
| 3 | 2603 | 213 |
| 0 | 8267 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
1/3 |
(+ 1/3 (* 1/45 (pow x 2))) |
(pow x 2) |
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) |
1/45 |
(+ 1/45 (* 2/945 (pow x 2))) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/45 (pow x 2)) |
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/945 (pow x 5)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(* 2/945 (pow x 4)) |
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(* 2/945 (pow x 2)) |
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
| Outputs |
|---|
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/45 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
1/45 |
#s(literal 1/45 binary64) |
(+ 1/45 (* 2/945 (pow x 2))) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
(* -1 (/ (cos x) (sin x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(* 1/45 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(* 1/45 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* 2/945 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 2/945 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64)) |
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) |
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 2/945 (pow x 2)) |
(*.f64 #s(literal 2/945 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 101 |
| 0 | 29 | 101 |
| 1 | 125 | 101 |
| 2 | 903 | 101 |
| 0 | 8566 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) |
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(-.f64 (/.f64 (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (-.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))) |
(-.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -2/945 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/91125 binary64) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/42525 binary64))))) (/.f64 (*.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/42525 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/42525 binary64))))) (/.f64 #s(literal 1/91125 binary64) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2/42525 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 (*.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))) |
(+.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) |
(+.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2/945 binary64) x)) x)) |
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (*.f64 x x))) |
Compiled 10 217 to 1 198 computations (88.3% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 274 | 4 | 278 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 274 | 7 | 281 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
| ✓ | 99.3% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
| ▶ | 24.0% | #s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 168 to 121 computations (28% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 374 |
| 0 | 79 | 372 |
| 1 | 133 | 372 |
| 2 | 304 | 372 |
| 3 | 849 | 372 |
| 4 | 2285 | 372 |
| 5 | 3559 | 372 |
| 6 | 4303 | 372 |
| 7 | 4950 | 372 |
| 8 | 5554 | 372 |
| 9 | 6189 | 372 |
| 10 | 7056 | 372 |
| 11 | 7881 | 372 |
| 0 | 8034 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
(-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal 2/945 binary64) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
#s(literal -1/45 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
#s(literal 1/9 binary64) |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 1/91125 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 x x) |
#s(literal 1/135 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal 2/945 binary64) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
#s(literal -1/45 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
#s(literal 1/9 binary64) |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 1/91125 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) |
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/135 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| accuracy | 0.30859375 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 x x) #s(literal 1/135 binary64)) | |
| accuracy | 0.36328125 | (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) | |
| accuracy | 0.41015625 | (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) | |
| accuracy | 0.0546875 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| accuracy | 0.34765625 | (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) | |
| accuracy | 0.390625 | (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 0.11328125 | (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.127285009768442 | (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) | |
| accuracy | 47.86405347257354 | (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
| 299.0ms | 118× | 2 | valid |
| 216.0ms | 138× | 1 | valid |
Compiled 279 to 51 computations (81.7% saved)
ival-tan: 185.0ms (39.2% of total)adjust: 73.0ms (15.5% of total)ival-pow: 57.0ms (12.1% of total)const: 49.0ms (10.4% of total)ival-sub: 40.0ms (8.5% of total)ival-mult: 31.0ms (6.6% of total)ival-div: 26.0ms (5.5% of total)ival-add: 10.0ms (2.1% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(/ 1/3 (pow x 4)) |
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4)) |
(* -1/9 x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
-1/9 |
(- (* 1/2025 (pow x 4)) 1/9) |
1/9 |
(+ 1/9 (* -1/135 (pow x 2))) |
(* 1/27 x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(* 1/45 (pow x 2)) |
(pow x 2) |
(/ -1/45 (pow x 2)) |
(/ -1/3 (pow x 4)) |
(* 1/2025 (pow x 4)) |
(* 1/135 (pow x 2)) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 2/945 (pow x 5)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
2/945 |
(+ 2/945 (* 1/45 (/ 1 (pow x 2)))) |
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2025 (pow x 5)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* -1/135 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(* 1/91125 (pow x 7)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (pow x 5)) (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ -1/45 (* x x)) (/ -1/3 (pow x 4)) (* (pow x 4) 1/2025) (* (* x x) 1/135) (* 1/3 x)) |
| 6.0ms | x | @ | inf | ((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (pow x 5)) (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ -1/45 (* x x)) (/ -1/3 (pow x 4)) (* (pow x 4) 1/2025) (* (* x x) 1/135) (* 1/3 x)) |
| 5.0ms | x | @ | -inf | ((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (* (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (pow x 5)) (- (- 2/945 (/ -1/3 (pow x 4))) (/ -1/45 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (* 1/45 (* x x)) x) (* 1/3 x)) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (/ -1/45 (* x x)) (/ -1/3 (pow x 4)) (* (pow x 4) 1/2025) (* (* x x) 1/135) (* 1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 318 |
| 1 | 286 | 318 |
| 2 | 772 | 317 |
| 3 | 2648 | 313 |
| 0 | 8019 | 299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(/ 1/3 (pow x 4)) |
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4)) |
(* -1/9 x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
-1/9 |
(- (* 1/2025 (pow x 4)) 1/9) |
1/9 |
(+ 1/9 (* -1/135 (pow x 2))) |
(* 1/27 x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(* 1/45 (pow x 2)) |
(pow x 2) |
(/ -1/45 (pow x 2)) |
(/ -1/3 (pow x 4)) |
(* 1/2025 (pow x 4)) |
(* 1/135 (pow x 2)) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 2/945 (pow x 5)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
2/945 |
(+ 2/945 (* 1/45 (/ 1 (pow x 2)))) |
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/2025 (pow x 5)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* -1/135 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(* 1/91125 (pow x 7)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
| Outputs |
|---|
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(/ 1/3 (pow x 4)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4)) |
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64)) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* 1/2025 (pow x 4)) 1/9) |
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/135 (pow x 2))) |
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
(* 1/27 x) |
(*.f64 #s(literal 1/27 binary64) x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) |
(* 1/45 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ -1/45 (pow x 2)) |
(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
(/ -1/3 (pow x 4)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2025 (pow x 4)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 1/135 (pow x 2)) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(* -1 (/ (cos x) (sin x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(* 2/945 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)) |
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
2/945 |
#s(literal 2/945 binary64) |
(+ 2/945 (* 1/45 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2/945 binary64)) |
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
(* 1/45 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x) |
(* 1/2025 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) |
(* -1/135 (pow x 2)) |
(*.f64 #s(literal -1/135 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x) |
(* 1/91125 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)))) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 290 |
| 0 | 79 | 296 |
| 1 | 311 | 248 |
| 2 | 2391 | 248 |
| 0 | 8593 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4/893025 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 8/843908625 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 4/893025 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4/893025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) x) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) x))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4/893025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 4/893025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 8/843908625 binary64) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 12 binary64)))) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) (/.f64 #s(literal -1/45 binary64) x))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 8/843908625 binary64) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 12 binary64)))) (*.f64 x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) #s(literal -1/45 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 8/843908625 binary64) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) #s(literal 1/45 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -2/2835 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4/893025 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) |
(-.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) |
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(/.f64 #s(literal -1/45 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/45 binary64) (*.f64 (neg.f64 x) x)) |
(neg.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/45 binary64) x))) x) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x))) #s(literal 1/45 binary64)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/45 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x)) #s(literal 1/45 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) |
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(*.f64 #s(literal 1/45 binary64) (fabs.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)))) |
(pow.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fabs.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/135 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/135 binary64) x)) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/135 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/135 binary64) x) x) |
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/135 binary64))) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/45 binary64))) |
(*.f64 #s(literal 1/45 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/135 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/135 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/135 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64))) |
(fabs.f64 (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) |
Compiled 11 231 to 1 514 computations (86.5% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 7 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 3 | 3 |
| Total | 324 | 11 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 31.9% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
| 56.8% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal -1/3 binary64) x)))) | |
| 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) | |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
| ▶ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
| ✓ | 99.3% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
Compiled 476 to 356 computations (25.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 453 |
| 0 | 87 | 453 |
| 1 | 145 | 453 |
| 2 | 283 | 451 |
| 3 | 629 | 451 |
| 4 | 1141 | 451 |
| 5 | 1473 | 451 |
| 6 | 1777 | 451 |
| 7 | 2139 | 451 |
| 8 | 2633 | 451 |
| 9 | 3353 | 451 |
| 10 | 5273 | 451 |
| 11 | 6680 | 451 |
| 12 | 7151 | 451 |
| 0 | 8014 | 440 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 1/91125 binary64) |
#s(literal 1/27 binary64) |
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))) |
#s(literal 1/2025 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
#s(literal 1/9 binary64) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
#s(literal 1/135 binary64) |
(*.f64 x x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) |
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) |
(*.f64 #s(literal 1/27 binary64) x) |
#s(literal 1/27 binary64) |
x |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 x x) |
#s(literal 1/135 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
x |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(*.f64 x x) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/2025 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 1/91125 binary64) |
#s(literal 1/27 binary64) |
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) |
(/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) |
#s(literal 1/2025 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
#s(literal 1/135 binary64) |
(*.f64 x x) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64))) |
(*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) |
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
#s(literal 1/45 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) |
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) |
(*.f64 #s(literal 1/27 binary64) x) |
#s(literal 1/27 binary64) |
x |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/2025 binary64) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 x x) |
#s(literal 1/135 binary64) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
(/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
x |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
#s(literal 1/2025 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/9 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) | |
| accuracy | 0.18359375 | (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 0.26953125 | (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 x x) #s(literal 1/135 binary64)) | |
| accuracy | 0.36328125 | (*.f64 #s(literal 1/27 binary64) x) | |
| accuracy | 0.41015625 | (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) | |
| accuracy | 0.17806625976844204 | (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| accuracy | 27.504208348020654 | (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) | |
| accuracy | 31.90733181109581 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) | |
| accuracy | 0.34765625 | (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) | |
| accuracy | 0.390625 | (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) | |
| accuracy | 0.0078125 | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 1/135 binary64) (*.f64 x x)) | |
| accuracy | 0.32421875 | (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) | |
| accuracy | 0.3515625 | (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) |
| 196.0ms | 85× | 2 | valid |
| 172.0ms | 54× | 3 | valid |
| 158.0ms | 117× | 1 | valid |
Compiled 351 to 50 computations (85.8% saved)
ival-tan: 189.0ms (44.6% of total)adjust: 73.0ms (17.2% of total)const: 47.0ms (11.1% of total)ival-mult: 46.0ms (10.9% of total)ival-div: 26.0ms (6.1% of total)ival-sub: 17.0ms (4% of total)ival-pow: 10.0ms (2.4% of total)ival-add: 9.0ms (2.1% of total)ival-sqrt: 4.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) |
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/27 binary64) x) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
1/9 |
(+ 1/9 (* -1/135 (pow x 2))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
1/27 |
(+ 1/27 (* 1/91125 (pow x 6))) |
(* -1/9 x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
-1/9 |
(- (* 1/2025 (pow x 4)) 1/9) |
(* 1/45 (pow x 2)) |
(pow x 2) |
(* 1/27 x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(* -3 x) |
(* x (- (* -1/5 (pow x 2)) 3)) |
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3)) |
-1/3 |
(- (* 1/45 (pow x 2)) 1/3) |
(* 9 x) |
(* x (+ 9 (* 3/5 (pow x 2)))) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4)))))) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375)))))) |
(* 1/135 (pow x 2)) |
(* 1/9 (pow x 2)) |
(* 1/2025 (pow x 4)) |
(* -1/135 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/91125 (pow x 6)) |
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(* 1/2025 (pow x 5)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* 1/91125 (pow x 7)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(/ 45 x) |
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x) |
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2025 (pow x 3)) |
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3)) |
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3)) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))) |
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x)) |
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x)) |
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1/3 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* (pow x 6) 1/91125) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (sqrt (* 1/9 (* x x)))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (/ x (- (* (* x x) 1/45) 1/3)) (- (* 1/2025 (pow x 4)) 1/9)) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (sqrt (* 1/9 (* x x))) (* 1/9 (* x x)) (* 1/27 x) (* (* x x) 1/135) (* (* x x) 1/45) (* 1/2025 (pow x 4))) |
| 7.0ms | x | @ | inf | ((- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* (pow x 6) 1/91125) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (sqrt (* 1/9 (* x x)))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (/ x (- (* (* x x) 1/45) 1/3)) (- (* 1/2025 (pow x 4)) 1/9)) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (sqrt (* 1/9 (* x x))) (* 1/9 (* x x)) (* 1/27 x) (* (* x x) 1/135) (* (* x x) 1/45) (* 1/2025 (pow x 4))) |
| 5.0ms | x | @ | -inf | ((- 1/9 (* 1/135 (* x x))) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x)))))) (+ (* (pow x 6) 1/91125) 1/27) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (* (pow x 4) 1/2025) 1/9) x) (- (* (pow x 4) 1/2025) 1/9) (+ (* (* 1/45 (* x x)) x) (sqrt (* 1/9 (* x x)))) (- (/ 1 x) (/ 1 (tan x))) (* 1/45 (* x x)) (* x x) (- 1/9 (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow x 6) 1/91125) 1/27) x) (+ (* (pow x 4) 1/2025) (- 1/9 (* (* x x) 1/135)))) (* (+ (* (pow x 6) 1/91125) 1/27) x) (- (/ 1 x) (/ 1 (tan x))) (* (/ x (- (* (* x x) 1/45) 1/3)) (- (* 1/2025 (pow x 4)) 1/9)) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (* 1/135 (* x x)) (sqrt (* 1/9 (* x x))) (* 1/9 (* x x)) (* 1/27 x) (* (* x x) 1/135) (* (* x x) 1/45) (* 1/2025 (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 550 |
| 1 | 543 | 550 |
| 2 | 1518 | 547 |
| 3 | 5362 | 547 |
| 0 | 8235 | 532 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/9 |
(+ 1/9 (* -1/135 (pow x 2))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
1/27 |
(+ 1/27 (* 1/91125 (pow x 6))) |
(* -1/9 x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
-1/9 |
(- (* 1/2025 (pow x 4)) 1/9) |
(* 1/45 (pow x 2)) |
(pow x 2) |
(* 1/27 x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(* -3 x) |
(* x (- (* -1/5 (pow x 2)) 3)) |
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3)) |
-1/3 |
(- (* 1/45 (pow x 2)) 1/3) |
(* 9 x) |
(* x (+ 9 (* 3/5 (pow x 2)))) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4)))))) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375)))))) |
(* 1/135 (pow x 2)) |
(* 1/9 (pow x 2)) |
(* 1/2025 (pow x 4)) |
(* -1/135 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(* -1 (/ (cos x) (sin x))) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(* 1/45 (pow x 3)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/91125 (pow x 6)) |
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(* 1/2025 (pow x 5)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(* 1/91125 (pow x 7)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(/ 45 x) |
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x) |
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(/ 2025 (pow x 3)) |
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3)) |
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3)) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))) |
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x)) |
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x)) |
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1/3 x) |
| Outputs |
|---|
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/135 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 1/45 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* 1/91125 (pow x 6))) |
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* x (- (* 1/2025 (pow x 4)) 1/9)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) x) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* 1/2025 (pow x 4)) 1/9) |
(-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) |
(* 1/45 (pow x 2)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 1/27 x) |
(*.f64 #s(literal 1/27 binary64) x) |
(* x (+ 1/27 (* 1/91125 (pow x 6)))) |
(*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) |
(* -3 x) |
(*.f64 #s(literal -3 binary64) x) |
(* x (- (* -1/5 (pow x 2)) 3)) |
(*.f64 (-.f64 (*.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x) |
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1125 binary64) (*.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 1/45 (pow x 2)) 1/3) |
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 3/5 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 3/5 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/375 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (*.f64 x x) #s(literal 9 binary64)) x) |
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5625 binary64) (*.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (*.f64 x x) #s(literal 9 binary64)) x) |
(* 1/135 (pow x 2)) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(* 1/9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(* 1/2025 (pow x 4)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1/135 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/135 binary64)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/135 binary64)) x) x) |
(* -1 (/ (cos x) (sin x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(- (/ 1 x) (/ (cos x) (sin x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(* 1/45 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) |
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/91125 (pow x 6)) |
(*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) |
(* 1/2025 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64)) |
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/91125 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64)) |
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64))) |
(/ 45 x) |
(/.f64 #s(literal 45 binary64) x) |
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x) |
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 151875 binary64) (*.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) #s(literal 45 binary64))) x) |
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x) |
(/ 2025 (pow x 3)) |
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (*.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10125 binary64) (/.f64 #s(literal 151875 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (neg.f64 x)) |
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) #s(literal -1 binary64) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 359 |
| 0 | 87 | 367 |
| 1 | 333 | 311 |
| 2 | 1865 | 308 |
| 0 | 8997 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) |
#s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
(/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) |
#s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) |
(/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/27 binary64) x) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x) (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x))))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/81 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/1215 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal -1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x)) (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/1215 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/1215 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) |
(fma.f64 (fabs.f64 (*.f64 x #s(literal 1/135 binary64))) x #s(literal 1/9 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/135 binary64) x) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/135 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/45 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 x #s(literal 1/135 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/1215 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/1215 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x)))))) (/.f64 (*.f64 #s(literal -1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x))))))) |
(+.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/27 binary64)) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (*.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))) |
(+.f64 (*.f64 #s(literal -1/135 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/135 binary64))) x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/135 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) (*.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) |
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(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) x) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 x #s(literal 1/9 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(*.f64 x (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/27 binary64) x) |
(*.f64 x #s(literal 1/27 binary64)) |
(*.f64 (fabs.f64 (*.f64 x #s(literal 1/135 binary64))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (*.f64 x #s(literal 1/135 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/45 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/135 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 x #s(literal 1/135 binary64)))) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/135 binary64))) |
(*.f64 #s(literal 1/135 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 1/45 binary64) x) x) |
(*.f64 #s(literal 1/45 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/45 binary64)) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/45 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/45 binary64) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) x))) x) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/45 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/45 binary64)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/45 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/45 binary64)) |
(*.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (fabs.f64 (*.f64 #s(literal 1/45 binary64) x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/45 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/45 binary64) (fabs.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) |
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) |
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) |
(*.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) |
(pow.f64 (neg.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 2 binary64))) |
Compiled 20 027 to 2 496 computations (87.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 5 | 550 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 551 | 10 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 47.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))))) | |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
| 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) | |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
| 99.1% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))) | |
| ✓ | 99.5% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
| 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) | |
| 99.6% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) | |
| ✓ | 99.3% | #s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
Compiled 787 to 339 computations (56.9% saved)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (-.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2025 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (*.f64 #s(literal -1/3 binary64) x)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/81 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
2 calls:
| 8.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.6% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (*.f64 #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx (/ x (+ (* 1/2025 (pow x 4)) (- 1/9 (* 1/135 (* x x))))) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow x 6) 1/91125) 1/27) x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.6% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
2 calls:
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.5% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.5% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.5% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
| 99.3% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 131 |
| 1 | 64 | 131 |
| 2 | 85 | 131 |
| 3 | 108 | 131 |
| 4 | 133 | 131 |
| 5 | 154 | 131 |
| 6 | 202 | 131 |
| 7 | 344 | 131 |
| 8 | 906 | 131 |
| 9 | 1554 | 131 |
| 10 | 3501 | 131 |
| 11 | 3982 | 131 |
| 12 | 4509 | 131 |
| 13 | 4964 | 131 |
| 14 | 5637 | 131 |
| 15 | 6340 | 131 |
| 16 | 6802 | 131 |
| 17 | 6940 | 131 |
| 18 | 7272 | 131 |
| 19 | 7603 | 131 |
| 20 | 7674 | 131 |
| 21 | 7707 | 131 |
| 22 | 7750 | 131 |
| 23 | 7774 | 131 |
| 24 | 7785 | 131 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x))))))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) #s(approx (- (* (pow x 4) 1/2025) 1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 318 |
| 1 | 286 | 318 |
| 2 | 772 | 317 |
| 3 | 2648 | 313 |
| 0 | 8019 | 299 |
| 0 | 57 | 359 |
| 0 | 87 | 367 |
| 1 | 333 | 311 |
| 2 | 1865 | 308 |
| 0 | 8997 | 297 |
| 0 | 194 | 550 |
| 1 | 543 | 550 |
| 2 | 1518 | 547 |
| 3 | 5362 | 547 |
| 0 | 8235 | 532 |
| 0 | 67 | 167 |
| 1 | 223 | 167 |
| 2 | 713 | 161 |
| 3 | 3134 | 155 |
| 4 | 7304 | 155 |
| 0 | 8582 | 139 |
| 0 | 53 | 290 |
| 0 | 79 | 296 |
| 1 | 311 | 248 |
| 2 | 2391 | 248 |
| 0 | 8593 | 238 |
| 0 | 19 | 101 |
| 0 | 29 | 101 |
| 1 | 125 | 101 |
| 2 | 903 | 101 |
| 0 | 8566 | 101 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 131 to 53 computations (59.5% saved)
Compiled 326 to 152 computations (53.4% saved)
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