VandenBroeck and Keller, Equation (24)

Time bar (total: 9.7s)

analyze206.0ms (2.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
37.5%37.5%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
46.9%46.8%53.1%0.1%0%0%0%10
46.9%46.8%53.1%0.1%0%0%0%11
48.4%48.4%51.5%0.1%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 20.0ms (25.1% of total)
ival-tan: 13.0ms (16.3% of total)
ival-neg: 12.0ms (15.1% of total)
ival-div: 11.0ms (13.8% of total)
ival-add: 11.0ms (13.8% of total)
ival-sin: 11.0ms (13.8% of total)
const: 2.0ms (2.5% of total)
backward-pass: 1.0ms (1.3% of total)

sample1.2s (12.6%)

Results
987.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 737.0ms
ival-sin: 256.0ms (34.7% of total)
ival-tan: 191.0ms (25.9% of total)
ival-div: 128.0ms (17.4% of total)
ival-mult: 65.0ms (8.8% of total)
ival-neg: 44.0ms (6% of total)
ival-add: 40.0ms (5.4% of total)
const: 10.0ms (1.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess75.0ms (0.8%)

Algorithm
egg-herbie
Rules
774×fnmadd-define
528×fmsub-define
526×fnmsub-define
502×sum3-define
466×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03153
19550
227548
366448
4130148
5194248
6229148
7282548
8286648
9287448
0108
1268
2578
3998
41848
53648
64968
76078
89768
910908
1011288
1111368
011368
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
Outputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Call 2
Inputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(+ (neg (* x (/ 1 (tan (neg B))))) (/ 1 (sin (neg B))))
(+ (neg (* (neg x) (/ 1 (tan B)))) (/ 1 (sin B)))
(neg (+ (neg (* x (/ 1 (tan (neg B))))) (/ 1 (sin (neg B)))))
(neg (+ (neg (* (neg x) (/ 1 (tan B)))) (/ 1 (sin B))))
(+ (neg (* B (/ 1 (tan x)))) (/ 1 (sin x)))
Outputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(- (recip (sin B)) (/ x (tan B)))
(+ (neg (* x (/ 1 (tan (neg B))))) (/ 1 (sin (neg B))))
(- (/ x (tan B)) (recip (sin B)))
(+ (neg (* (neg x) (/ 1 (tan B)))) (/ 1 (sin B)))
(+ (recip (sin B)) (/ x (tan B)))
(neg (+ (neg (* x (/ 1 (tan (neg B))))) (/ 1 (sin (neg B)))))
(- (recip (sin B)) (/ x (tan B)))
(neg (+ (neg (* (neg x) (/ 1 (tan B)))) (/ 1 (sin B))))
(fnmsub x (recip (tan B)) (recip (sin B)))
(+ (neg (* B (/ 1 (tan x)))) (/ 1 (sin x)))
(- (recip (sin x)) (/ B (tan x)))
Symmetry

(negabs B)

explain107.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-B
00-0-x
00-0-(sin.f64 B)
00-0-(tan.f64 B)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-(/.f64 #s(literal 1 binary64) (sin.f64 B))
00-0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
Results
70.0ms512×0valid
Compiler

Compiled 100 to 32 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 12.0ms (28.7% of total)
ival-tan: 11.0ms (26.3% of total)
ival-div: 9.0ms (21.5% of total)
ival-mult: 4.0ms (9.6% of total)
ival-add: 2.0ms (4.8% of total)
ival-neg: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
99.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 25 to 18 computations (28% saved)

simplify27.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (tan.f64 B))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff64
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff192
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Rules
284×fnmadd-define
254×sum3-define
226×fma-define
198×fmsub-define
184×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01255
13052
26152
310352
418852
536852
650152
761252
898152
9109552
10113352
11114152
0114152
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(neg (* x (/ 1 (tan B))))
(* x (/ 1 (tan B)))
x
(/ 1 (tan B))
1
(tan B)
B
(/ 1 (sin B))
(sin B)
(- (/ 1 (sin B)) (/ x (tan B)))
(/ 1 (sin B))
1
(sin B)
B
(/ x (tan B))
x
(tan B)
Outputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg (* x (/ 1 (tan B))))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(* x (/ 1 (tan B)))
(/.f64 x (tan.f64 B))
x
(/ 1 (tan B))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
1
#s(literal 1 binary64)
(tan B)
(tan.f64 B)
B
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin B)
(sin.f64 B)
(- (/ 1 (sin B)) (/ x (tan B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
1
#s(literal 1 binary64)
(sin B)
(sin.f64 B)
B
(/ x (tan B))
(/.f64 x (tan.f64 B))
x
(tan B)
(tan.f64 B)

localize60.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 B)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
accuracy99.8%
(/.f64 x (tan.f64 B))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy100.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy99.6%
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
Results
42.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (32.1% of total)
ival-tan: 6.0ms (24.1% of total)
ival-sin: 5.0ms (20.1% of total)
ival-mult: 2.0ms (8% of total)
ival-add: 1.0ms (4% of total)
ival-sub: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
9 → 168
Calls
Call 1
Inputs
#<alt (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))>
#<alt (* x (/ 1 (tan B)))>
#<alt (neg (* x (/ 1 (tan B))))>
#<alt (/ 1 (tan B))>
#<alt (- (/ 1 (sin B)) (/ x (tan B)))>
#<alt (/ 1 (sin B))>
#<alt (sin B)>
#<alt (/ x (tan B))>
#<alt (tan B)>
Outputs
#<alt (/ 1 (sin B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ x B)>
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ x B))>
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (/ 1 B)>
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)>
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)>
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (cos B) (sin B))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (/ 1 B)>
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt B>
#<alt (* B (+ 1 (* -1/6 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ x B)>
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt B>
#<alt (* B (+ 1 (* 1/3 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
B
@inf
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
2.0ms
B
@0
(/ 1 (sin B))
1.0ms
x
@0
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
1.0ms
B
@-inf
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
1.0ms
x
@inf
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))

rewrite305.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
3984×/-lowering-/.f32
3984×/-lowering-/.f64
3802×*-lowering-*.f32
3802×*-lowering-*.f64
2352×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
17639
277739
0834939
Stop Event
iter limit
node limit
Counts
9 → 529
Calls
Call 1
Inputs
(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
(* x (/ 1 (tan B)))
(neg (* x (/ 1 (tan B))))
(/ 1 (tan B))
(- (/ 1 (sin B)) (/ x (tan B)))
(/ 1 (sin B))
(sin B)
(/ x (tan B))
(tan B)
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (/.f64 x (tan.f64 B))))
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(*.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)))))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (sin.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) #s(literal -1 binary64)))
(sin.f64 B)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)))
(/.f64 (sin.f64 B) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) #s(literal 1 binary64))
(pow.f64 (sin.f64 B) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64))
(*.f64 (sin.f64 B) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)))))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 B) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 B))) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(tan.f64 B)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (*.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 (tan.f64 B) #s(literal 1 binary64))
(/.f64 (sin.f64 B) (cos.f64 B))
(/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (cos.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 B))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (neg.f64 (neg.f64 (cos.f64 B))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B))) (neg.f64 (cos.f64 B)))
(pow.f64 (tan.f64 B) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 B))
(*.f64 (tan.f64 B) #s(literal 1 binary64))
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B)))

simplify222.0ms (2.3%)

Algorithm
egg-herbie
Rules
4270×*-lowering-*.f32
4270×*-lowering-*.f64
2964×+-lowering-+.f64
2964×+-lowering-+.f32
1920×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691536
15151458
219251436
374421436
081541436
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
Outputs
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 #s(literal 31/15120 binary64) (*.f64 x #s(literal 2/945 binary64)))))))))))) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
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(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
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(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/ (* x (cos B)) (sin B))
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
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(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
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(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 B (*.f64 B #s(literal -1/45 binary64)))))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
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(/ (cos B) (sin B))
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(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
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(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 #s(literal 31/15120 binary64) (*.f64 x #s(literal 2/945 binary64)))))))))))) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
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(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
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(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
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(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
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(* -1 (/ (* x (cos B)) (sin B)))
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(/ (+ 1 (* 1/6 (pow B 2))) B)
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(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
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(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/ 1 (sin B))
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(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) #s(literal 1/120 binary64))))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/6 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 B B) #s(literal -1/5040 binary64)))))))))
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
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(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
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(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x B)
(/.f64 x B)
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(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (+.f64 x (neg.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (+.f64 x (*.f64 (*.f64 B B) (+.f64 (*.f64 (*.f64 B B) (-.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 (*.f64 B B) (*.f64 x #s(literal 2/945 binary64))))) (*.f64 x #s(literal -1/3 binary64))))) B)
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
B
(* B (+ 1 (* 1/3 (pow B 2))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64)))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 2/15 binary64))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 2/15 binary64) (*.f64 B (*.f64 B #s(literal 17/315 binary64))))))))))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))

eval83.0ms (0.9%)

Compiler

Compiled 17059 to 1409 computations (91.7% saved)

prune313.0ms (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New77112783
Fresh000
Picked112
Done000
Total77213785
Accuracy
100.0%
Counts
785 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
85.0%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
51.1%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
51.3%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
49.5%
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
52.0%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
72.6%
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
74.5%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
74.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
84.3%
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (sin.f64 B))))
86.7%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
Compiler

Compiled 345 to 230 computations (33.3% saved)

simplify163.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 B))
cost-diff0
(cos.f64 B)
cost-diff0
(*.f64 x (cos.f64 B))
cost-diff0
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
cost-diff0
(tan.f64 B)
cost-diff0
(/.f64 x (tan.f64 B))
cost-diff0
(/.f64 #s(literal 1 binary64) B)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
cost-diff0
(*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))))))
cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
cost-diff0
(tan.f64 B)
cost-diff0
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
cost-diff6528
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
cost-diff12928
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
Rules
2296×*-lowering-*.f32
2296×*-lowering-*.f64
2112×+-lowering-+.f64
2112×+-lowering-+.f32
1154×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034214
187200
2277195
31138192
44962191
08345191
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))
(/ (- (tan B) (* x (sin B))) (sin B))
(- (tan B) (* x (sin B)))
(tan B)
B
(* x (sin B))
x
(sin B)
(/ (- 1 x) B)
(- 1 x)
1
x
B
(/ (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))) B)
(+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))))
(- 1 x)
1
x
(* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))
(* B B)
B
(+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))
(+ 1/6 (* x 1/3))
1/6
(* x 1/3)
1/3
(* B (* B (+ 7/360 (* x 1/45))))
(* B (+ 7/360 (* x 1/45)))
(+ 7/360 (* x 1/45))
7/360
(* x 1/45)
1/45
(- (/ 1 B) (/ x (tan B)))
(/ 1 B)
1
B
(/ x (tan B))
x
(tan B)
(/ (* x (cos B)) (- 0 (sin B)))
(* x (cos B))
x
(cos B)
B
(- 0 (sin B))
0
(sin B)
Outputs
(/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/ (- (tan B) (* x (sin B))) (sin B))
(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x)
(- (tan B) (* x (sin B)))
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
(tan B)
(tan.f64 B)
B
(* x (sin B))
(*.f64 x (sin.f64 B))
x
(sin B)
(sin.f64 B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
B
(/ (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))) B)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (*.f64 B (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))) #s(literal 1 binary64)))
(+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))
(*.f64 B (*.f64 B (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))
(* B B)
(*.f64 B B)
B
(+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))
(+ 1/6 (* x 1/3))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* B (* B (+ 7/360 (* x 1/45))))
(*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))
(* B (+ 7/360 (* x 1/45)))
(*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))
(+ 7/360 (* x 1/45))
(+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))
7/360
#s(literal 7/360 binary64)
(* x 1/45)
(*.f64 x #s(literal 1/45 binary64))
1/45
#s(literal 1/45 binary64)
(- (/ 1 B) (/ x (tan B)))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
1
#s(literal 1 binary64)
B
(/ x (tan B))
(/.f64 x (tan.f64 B))
x
(tan B)
(tan.f64 B)
(/ (* x (cos B)) (- 0 (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* x (cos B))
(*.f64 x (cos.f64 B))
x
(cos B)
(cos.f64 B)
B
(- 0 (sin B))
(-.f64 #s(literal 0 binary64) (sin.f64 B))
0
#s(literal 0 binary64)
(sin B)
(sin.f64 B)

localize238.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 B)
accuracy100.0%
(cos.f64 B)
accuracy99.8%
(*.f64 x (cos.f64 B))
accuracy99.7%
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) B)
accuracy100.0%
(tan.f64 B)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
accuracy99.8%
(/.f64 x (tan.f64 B))
accuracy99.7%
(*.f64 x #s(literal 1/45 binary64))
accuracy99.4%
(*.f64 x #s(literal 1/3 binary64))
accuracy96.0%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
accuracy93.6%
(*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
accuracy100.0%
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
accuracy99.8%
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
accuracy99.7%
(*.f64 x (sin.f64 B))
accuracy99.7%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
Results
192.0ms256×0valid
Compiler

Compiled 225 to 35 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 18.0ms (25.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (18.6% of total)
ival-div: 11.0ms (15.8% of total)
ival-tan: 6.0ms (8.6% of total)
ival-add: 5.0ms (7.2% of total)
ival-sin: 5.0ms (7.2% of total)
ival-sub: 5.0ms (7.2% of total)
ival-cos: 5.0ms (7.2% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.4%)

Counts
20 → 384
Calls
Call 1
Inputs
#<alt (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))>
#<alt (/ (- (tan B) (* x (sin B))) (sin B))>
#<alt (- (tan B) (* x (sin B)))>
#<alt (tan B)>
#<alt (/ (- 1 x) B)>
#<alt (- 1 x)>
#<alt (/ (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))) B)>
#<alt (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))))>
#<alt (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))>
#<alt (- (/ 1 B) (/ x (tan B)))>
#<alt (/ 1 B)>
#<alt (/ x (tan B))>
#<alt (/ (* x (cos B)) (- 0 (sin B)))>
#<alt (* x (cos B))>
#<alt (cos B)>
#<alt (- 0 (sin B))>
#<alt (* x (sin B))>
#<alt (* x 1/3)>
#<alt (* x 1/45)>
#<alt (sin B)>
Outputs
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))>
#<alt (/ 1 (cos B))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* B (- 1 x))>
#<alt (* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x))>
#<alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x))>
#<alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) x))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))>
#<alt (/ (sin B) (cos B))>
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))>
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))>
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))>
#<alt (* -1 (* x (sin B)))>
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))>
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))>
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))>
#<alt (* -1 (* x (sin B)))>
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))>
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))>
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))>
#<alt B>
#<alt (* B (+ 1 (* 1/3 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ 1 B)>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (* -1 (/ x B))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt (/ (- 1 x) B)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)>
#<alt (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))>
#<alt (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))>
#<alt (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))>
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))>
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))>
#<alt (* -1 (/ (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))) B))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B)>
#<alt (* (pow B 3) (+ 7/360 (* 1/45 x)))>
#<alt (* (pow B 3) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 3) (+ 7/360 (* 1/45 x)))>
#<alt (* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))))))>
#<alt (* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4)))))))>
#<alt (* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4)))))))>
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))>
#<alt (+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))>
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))>
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))>
#<alt (* -1 (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x)>
#<alt (* (pow B 4) (+ 7/360 (* 1/45 x)))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/45 x)))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))>
#<alt (* (pow B 2) (+ 1/6 (* 1/3 x)))>
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))>
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))>
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/45 x)))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/45 x)))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))>
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))>
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))>
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))>
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2)))))>
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))>
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))>
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))>
#<alt (* -1 (* (pow B 2) (* x (- (* -1/45 (pow B 2)) 1/3))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) x) B)>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (- (/ 1 B) (/ (* x (cos B)) (sin B)))>
#<alt (/ 1 B)>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))>
#<alt (* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ x B)>
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ x B))>
#<alt (/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)>
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)>
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt x>
#<alt (+ x (* -1/2 (* (pow B 2) x)))>
#<alt (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))>
#<alt (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt (* x (cos B))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow B 2)))>
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))>
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (* -1 B)>
#<alt (* B (- (* 1/6 (pow B 2)) 1))>
#<alt (* B (- (* (pow B 2) (+ 1/6 (* -1/120 (pow B 2)))) 1))>
#<alt (* B (- (* (pow B 2) (+ 1/6 (* (pow B 2) (- (* 1/5040 (pow B 2)) 1/120)))) 1))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* -1 (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* B x)>
#<alt (* B (+ x (* -1/6 (* (pow B 2) x))))>
#<alt (* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x))))))>
#<alt (* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x)))))))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* x (sin B))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt B>
#<alt (* B (+ 1 (* -1/6 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
Calls

96 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- 1 x) B)
3.0ms
x
@0
(- (/ 1 B) (/ x (tan B)))
1.0ms
B
@inf
(/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))
1.0ms
B
@-inf
(/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))
1.0ms
x
@0
(/ (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))) B)

rewrite463.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
5602×*-lowering-*.f32
5602×*-lowering-*.f64
3236×+-lowering-+.f64
3236×+-lowering-+.f32
3110×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034146
1239135
22437132
010650132
Stop Event
iter limit
node limit
Counts
20 → 606
Calls
Call 1
Inputs
(/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B))
(/ (- (tan B) (* x (sin B))) (sin B))
(- (tan B) (* x (sin B)))
(tan B)
(/ (- 1 x) B)
(- 1 x)
(/ (+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))) B)
(+ (- 1 x) (* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45)))))))
(* (* B B) (+ (+ 1/6 (* x 1/3)) (* B (* B (+ 7/360 (* x 1/45))))))
(- (/ 1 B) (/ x (tan B)))
(/ 1 B)
(/ x (tan B))
(/ (* x (cos B)) (- 0 (sin B)))
(* x (cos B))
(cos B)
(- 0 (sin B))
(* x (sin B))
(* x 1/3)
(* x 1/45)
(sin B)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (tan.f64 B) (*.f64 (tan.f64 B) (sin.f64 B))) (/.f64 (*.f64 x (sin.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))))
(-.f64 (/.f64 (/.f64 (tan.f64 B) (sin.f64 B)) (tan.f64 B)) (/.f64 (/.f64 (*.f64 x (sin.f64 B)) (sin.f64 B)) (tan.f64 B)))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(neg.f64 (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (-.f64 #s(literal 0 binary64) (sin.f64 B))) (tan.f64 B)))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 B) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) (*.f64 (tan.f64 B) (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (-.f64 #s(literal 0 binary64) (sin.f64 B))) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
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(pow.f64 (/.f64 (*.f64 B (tan.f64 B)) (-.f64 (tan.f64 B) (*.f64 B x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) (*.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (tan.f64 B) (*.f64 B x)) (/.f64 #s(literal 1 binary64) (*.f64 B (tan.f64 B))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) (*.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 B)))
(neg.f64 (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) B)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) B)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) B))
(pow.f64 B #s(literal -1 binary64))
(pow.f64 (*.f64 B B) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) B)) #s(literal -1 binary64))
(pow.f64 (pow.f64 B #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) B))
(*.f64 (/.f64 #s(literal 1 binary64) B) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)))
(*.f64 (pow.f64 B #s(literal -1/2 binary64)) (pow.f64 B #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(/.f64 x (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (*.f64 (*.f64 x (cos.f64 B)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(*.f64 (cos.f64 B) (*.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(*.f64 (cos.f64 B) (/.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(*.f64 (*.f64 x (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) x)
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (sin.f64 B))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (sin.f64 B))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 B)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (sin.f64 B)))
(fma.f64 #s(literal -1 binary64) (sin.f64 B) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(neg.f64 (sin.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (sin.f64 B))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 B))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(+.f64 (sin.f64 B) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 B))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(sin.f64 B)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))
(pow.f64 (sin.f64 B) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))

simplify309.0ms (3.2%)

Algorithm
egg-herbie
Rules
3870×*-lowering-*.f32
3870×*-lowering-*.f64
2974×+-lowering-+.f64
2974×+-lowering-+.f32
1912×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04664222
115503946
262063918
082733918
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(- 1 x)
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))
(/ 1 (cos B))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(* -1 x)
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* B (- 1 x))
(* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x))
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x))
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) x))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(- (/ (sin B) (cos B)) (* x (sin B)))
(/ (sin B) (cos B))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(* -1 (* x (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (sin B)))
(* x (- (/ (sin B) (* x (cos B))) (sin B)))
(* -1 (* x (sin B)))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B)))
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B)))
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B)))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B)
(* (pow B 3) (+ 7/360 (* 1/45 x)))
(* (pow B 3) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 3) (+ 7/360 (* 1/45 x)))
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))))))
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4)))))))
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4)))))))
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1))
(* -1 (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))))
(- 1 x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x)
(* (pow B 4) (+ 7/360 (* 1/45 x)))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 4) (+ 7/360 (* 1/45 x)))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4))))
(* (pow B 2) (+ 1/6 (* 1/3 x)))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))
(* (pow B 4) (+ 7/360 (* 1/45 x)))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (+ 7/360 (* 1/45 x)))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2)))))))
(* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2))))) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))
(* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 2)))))
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)))
(* -1 (* (pow B 2) (* x (- (* -1/45 (pow B 2)) 1/3))))
(* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))
(* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))
(* -1 (* x (+ (* -1 (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))
(/ (- 1 x) B)
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(/ 1 B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 B))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(* -1 B)
(* B (- (* 1/6 (pow B 2)) 1))
(* B (- (* (pow B 2) (+ 1/6 (* -1/120 (pow B 2)))) 1))
(* B (- (* (pow B 2) (+ 1/6 (* (pow B 2) (- (* 1/5040 (pow B 2)) 1/120)))) 1))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* -1 (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* B x)
(* B (+ x (* -1/6 (* (pow B 2) x))))
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x))))))
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x)))))))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* x (sin B))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/.f64 (+.f64 (*.f64 B (*.f64 B (+.f64 (*.f64 (*.f64 B B) (-.f64 (-.f64 #s(literal 2/15 binary64) (+.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)
(/.f64 (+.f64 (*.f64 B (*.f64 B (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 (*.f64 B B) (-.f64 #s(literal 17/315 binary64) (+.f64 (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 173/5040 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 31/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (-.f64 (-.f64 #s(literal 2/15 binary64) (+.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 #s(literal 2/15 binary64) (+.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) (+.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))
(*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
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(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x))))))
(*.f64 B (+.f64 x (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) #s(literal 1/120 binary64)))))))
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x)))))))
(*.f64 B (+.f64 x (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 B (*.f64 B (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 B B) #s(literal -1/5040 binary64))))))))))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* x (sin B))
(*.f64 x (sin.f64 B))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) #s(literal 1/120 binary64))))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 B B) #s(literal -1/5040 binary64))))))))
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)

eval166.0ms (1.7%)

Compiler

Compiled 34919 to 2616 computations (92.5% saved)

prune140.0ms (1.4%)

Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New1079331112
Fresh437
Picked415
Done011
Total1087381125
Accuracy
100.0%
Counts
1125 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sin.f64 B)) (tan.f64 B))
35.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
49.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
52.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B))
99.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
51.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
26.2%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
36.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
26.4%
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
85.0%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
35.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
76.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
26.3%
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
51.1%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
51.3%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
51.0%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
51.0%
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
27.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
51.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
49.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
45.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
99.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) (tan.f64 B))
26.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
49.5%
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
52.0%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
27.2%
(/.f64 #s(literal 1 binary64) B)
49.5%
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
51.3%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
51.2%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
25.7%
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
51.2%
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
86.7%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
38.7%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
49.5%
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
49.6%
(neg.f64 (/.f64 x (tan.f64 B)))
Compiler

Compiled 1114 to 727 computations (34.7% saved)

simplify132.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(neg.f64 (/.f64 x (tan.f64 B)))
cost-diff0
(tan.f64 B)
cost-diff0
(/.f64 x (tan.f64 B))
cost-diff0
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))
cost-diff128
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
cost-diff384
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
cost-diff0
(/.f64 #s(literal 1 binary64) B)
cost-diff0
(cos.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 B))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
Rules
1860×fnmadd-define
1684×sum4-define
1386×fmsub-define
1314×fma-lowering-fma.f32
1314×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026143
167137
2183133
3486133
41293132
53663127
08154127
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (/ 1 (cos B)) x) (tan B))
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
1
(cos B)
B
x
(tan B)
(/ 1 B)
1
B
(/ (/ (- 1 (* x x)) (+ x 1)) B)
(/ (- 1 (* x x)) (+ x 1))
(- 1 (* x x))
1
(* x x)
x
(+ x 1)
B
(/ (+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360))))) B)
(+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360)))))
(- 1 x)
1
x
(* (* B B) (+ 1/6 (* B (* B 7/360))))
(* B B)
B
(+ 1/6 (* B (* B 7/360)))
1/6
(* B (* B 7/360))
(* B 7/360)
7/360
(neg (/ x (tan B)))
(/ x (tan B))
x
(tan B)
B
Outputs
(/ (- (/ 1 (cos B)) x) (tan B))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
1
#s(literal 1 binary64)
(cos B)
(cos.f64 B)
B
x
(tan B)
(tan.f64 B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
1
#s(literal 1 binary64)
B
(/ (/ (- 1 (* x x)) (+ x 1)) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 (* x x)) (+ x 1))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
B
(/ (+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360))))) B)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (+.f64 (*.f64 B (*.f64 B #s(literal -7/360 binary64))) #s(literal -1/6 binary64))))
(+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 (*.f64 B (*.f64 B #s(literal -7/360 binary64))) #s(literal -1/6 binary64)))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* B B) (+ 1/6 (* B (* B 7/360))))
(*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))
(* B B)
(*.f64 B B)
B
(+ 1/6 (* B (* B 7/360)))
(+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))
1/6
#s(literal 1/6 binary64)
(* B (* B 7/360))
(*.f64 B (*.f64 B #s(literal 7/360 binary64)))
(* B 7/360)
(*.f64 B #s(literal 7/360 binary64))
7/360
#s(literal 7/360 binary64)
(neg (/ x (tan B)))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(/ x (tan B))
(/.f64 x (tan.f64 B))
x
(tan B)
(tan.f64 B)
B

localize122.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (/.f64 x (tan.f64 B)))
accuracy100.0%
(tan.f64 B)
accuracy99.8%
(/.f64 x (tan.f64 B))
accuracy99.8%
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))
accuracy99.8%
(*.f64 B (*.f64 B #s(literal 7/360 binary64)))
accuracy99.8%
(*.f64 B #s(literal 7/360 binary64))
accuracy94.9%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
accuracy77.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) B)
accuracy100.0%
(tan.f64 B)
accuracy100.0%
(cos.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 B))
accuracy99.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
Results
90.0ms256×0valid
Compiler

Compiled 150 to 27 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 12.0ms (21.7% of total)
ival-mult: 9.0ms (16.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (14.5% of total)
ival-add: 6.0ms (10.9% of total)
ival-tan: 6.0ms (10.9% of total)
ival-cos: 6.0ms (10.9% of total)
ival-sub: 4.0ms (7.2% of total)
ival-neg: 4.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts
19 → 312
Calls
Call 1
Inputs
#<alt (/ (- (/ 1 (cos B)) x) (tan B))>
#<alt (- (/ 1 (cos B)) x)>
#<alt (/ 1 (cos B))>
#<alt (cos B)>
#<alt (/ 1 B)>
#<alt (/ (/ (- 1 (* x x)) (+ x 1)) B)>
#<alt (/ (- 1 (* x x)) (+ x 1))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (/ (+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360))))) B)>
#<alt (+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360)))))>
#<alt (- 1 x)>
#<alt (* (* B B) (+ 1/6 (* B (* B 7/360))))>
#<alt (/ x (tan B))>
#<alt (tan B)>
#<alt (neg (/ x (tan B)))>
#<alt (+ x 1)>
#<alt (* B 7/360)>
#<alt (* B (* B 7/360))>
Outputs
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- 1/2 (* 1/3 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* 17/315 (- 1 x)) (+ (* 2/15 (- 1/2 (* 1/3 (- 1 x)))) (* 1/3 (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))))))) (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* 1/2 (pow B 2))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (/ 1 (cos B))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow B 2)))>
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))>
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow B 2)))>
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))>
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (/ 1 B)>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (+ (* -1 (/ x B)) (/ 1 B))>
#<alt (* -1 (/ x B))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)>
#<alt (+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))>
#<alt (+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))>
#<alt (+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))>
#<alt (* -1 (/ x B))>
#<alt (* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))>
#<alt (* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))>
#<alt (* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* 1/6 (pow B 2))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B)>
#<alt (* 7/360 (pow B 3))>
#<alt (* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 3) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt (* (pow B 3) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt (* 7/360 (pow B 3))>
#<alt (* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* -1 (* (pow B 3) (- (* -1 (/ (- 1 x) (pow B 4))) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (* -1 (* (pow B 3) (- (* -1 (/ (- 1 x) (pow B 4))) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))))>
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))>
#<alt (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))>
#<alt (* -1 x)>
#<alt (* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))>
#<alt (* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))>
#<alt (* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* 1/6 (pow B 2))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)>
#<alt (* 7/360 (pow B 4))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt (* 7/360 (pow B 4))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt (* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 1/6 (pow B 2))>
#<alt (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))>
#<alt (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))>
#<alt (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))>
#<alt (* 7/360 (pow B 4))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* 7/360 (pow B 4))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ x B)>
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt (/ (* x (cos B)) (sin B))>
#<alt B>
#<alt (* B (+ 1 (* 1/3 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))>
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (/ (sin B) (cos B))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ x B))>
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)>
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 B)>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
#<alt (* 7/360 (pow B 2))>
Calls

78 calls:

TimeVariablePointExpression
7.0ms
B
@-inf
(/ (- (/ 1 (cos B)) x) (tan B))
1.0ms
x
@inf
(/ (/ (- 1 (* x x)) (+ x 1)) B)
1.0ms
B
@inf
(/ (- (/ 1 (cos B)) x) (tan B))
1.0ms
B
@0
(/ (/ (- 1 (* x x)) (+ x 1)) B)
1.0ms
B
@0
(/ (- (/ 1 (cos B)) x) (tan B))

rewrite460.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
4206×*-lowering-*.f32
4206×*-lowering-*.f64
3076×/-lowering-/.f32
3076×/-lowering-/.f64
2226×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026104
117999
2168698
0877098
Stop Event
iter limit
node limit
Counts
19 → 847
Calls
Call 1
Inputs
(/ (- (/ 1 (cos B)) x) (tan B))
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
(cos B)
(/ 1 B)
(/ (/ (- 1 (* x x)) (+ x 1)) B)
(/ (- 1 (* x x)) (+ x 1))
(- 1 (* x x))
(* x x)
(/ (+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360))))) B)
(+ (- 1 x) (* (* B B) (+ 1/6 (* B (* B 7/360)))))
(- 1 x)
(* (* B B) (+ 1/6 (* B (* B 7/360))))
(/ x (tan B))
(tan B)
(neg (/ x (tan B)))
(+ x 1)
(* B 7/360)
(* B (* B 7/360))
Outputs
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) x (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (/.f64 x (tan.f64 B)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (tan.f64 B) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))))
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(/.f64 (*.f64 (*.f64 B B) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 343/46656000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 B (*.f64 B #s(literal 7/360 binary64))) (-.f64 (*.f64 B (*.f64 B #s(literal 7/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 B B) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 49/129600 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 343/46656000 binary64)))) (*.f64 B B)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 B (*.f64 B #s(literal 7/360 binary64))) (-.f64 (*.f64 B (*.f64 B #s(literal 7/360 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 49/129600 binary64))) (*.f64 B B)) (-.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))
(*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))) (*.f64 B B))
(*.f64 (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))) B)
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(tan.f64 B)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (sin.f64 B) (cos.f64 B))
(/.f64 (neg.f64 (sin.f64 B)) (-.f64 #s(literal 0 binary64) (cos.f64 B)))
(pow.f64 (/.f64 (cos.f64 B) (sin.f64 B)) #s(literal -1 binary64))
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (-.f64 #s(literal 0 binary64) x)))
(/.f64 x (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (tan.f64 B)))
(pow.f64 (neg.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 B)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (tan.f64 B) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 B)) (cos.f64 B))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 B #s(literal 7/360 binary64))
(*.f64 #s(literal 7/360 binary64) B)
(*.f64 B (*.f64 B #s(literal 7/360 binary64)))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(*.f64 #s(literal 7/360 binary64) (*.f64 B B))
(*.f64 (*.f64 B #s(literal 7/360 binary64)) B)

simplify249.0ms (2.6%)

Algorithm
egg-herbie
Rules
3680×+-lowering-+.f64
3680×+-lowering-+.f32
3596×*-lowering-*.f32
3596×*-lowering-*.f64
1088×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02552439
17802274
227212211
085142211
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/2 (* 1/3 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* 17/315 (- 1 x)) (+ (* 2/15 (- 1/2 (* 1/3 (- 1 x)))) (* 1/3 (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))))))) (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(- 1 x)
(- (+ 1 (* 1/2 (pow B 2))) x)
(- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)
(- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(* -1 x)
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
1
(+ 1 (* 1/2 (pow B 2)))
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(* -1 (/ x B))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))
(/ (- 1 x) B)
(/ (- (+ 1 (* 1/6 (pow B 2))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B)
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
(* (pow B 3) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* -1 (* (pow B 3) (- (* -1 (/ (- 1 x) (pow B 4))) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))))
(* -1 (* (pow B 3) (- (* -1 (/ (- 1 x) (pow B 4))) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))))
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))
(+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))))
(* -1 x)
(* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))
(* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))
(* x (- (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)))))
(- 1 x)
(- (+ 1 (* 1/6 (pow B 2))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)
(- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)
(* 7/360 (pow B 4))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
(* 7/360 (pow B 4))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
(* (pow B 4) (- (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))) (/ x (pow B 4))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/6 (pow B 2))
(* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))
(* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))
(* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))
(* 7/360 (pow B 4))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* 7/360 (pow B 4))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 B)
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
(* 7/360 (pow B 2))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/2 (* 1/3 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 x #s(literal -2/15 binary64))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* 17/315 (- 1 x)) (+ (* 2/15 (- 1/2 (* 1/3 (- 1 x)))) (* 1/3 (- 5/24 (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))))))) (+ (* 2/15 (- 1 x)) (* 1/3 (- 1/2 (* 1/3 (- 1 x)))))))) (* 1/3 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 B (*.f64 B (+.f64 (+.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 x #s(literal -2/15 binary64))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/3 binary64))) (*.f64 (*.f64 B B) (+.f64 (+.f64 (+.f64 #s(literal 61/720 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -17/315 binary64))) (*.f64 #s(literal -2/15 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 x #s(literal -2/15 binary64))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))))))))) B)
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* 1/2 (pow B 2))) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) x))
(- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 B B) #s(literal 5/24 binary64)))) x))
(- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 5/24 binary64) (*.f64 B (*.f64 B #s(literal 61/720 binary64)))))))))
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(+ (* -1 x) (/ 1 (cos B)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(+ (* -1 x) (/ 1 (cos B)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(+ (* -1 x) (/ 1 (cos B)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 (* x (cos B))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* x (- (/ 1 (* x (cos B))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* x (- (/ 1 (* x (cos B))) 1))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow B 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/2 binary64)))
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 B B) #s(literal 5/24 binary64)))))
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 5/24 binary64) (*.f64 B (*.f64 B #s(literal 61/720 binary64)))))))))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow B 2)))
(+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal -1/2 binary64))))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) #s(literal 1/24 binary64)))))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/2 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 B B) #s(literal -1/720 binary64))))))))
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(+ (* -1 (/ x B)) (/ 1 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(+ (* -1 (/ x B)) (/ 1 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(+ (* -1 (/ x B)) (/ 1 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* x (- (/ 1 (* B x)) (/ 1 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* x (- (/ 1 (* B x)) (/ 1 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))))) B)
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))))
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))))
(+ (* -1 (/ x B)) (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))))
(* -1 (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(+.f64 (*.f64 x (/.f64 (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(+.f64 (*.f64 x (/.f64 (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(* x (- (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x)) (/ 1 B)))
(+.f64 (*.f64 x (/.f64 (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(* -1 (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (/ 1 B))))
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(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 B)
(*.f64 B #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))
(* 7/360 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 7/360 binary64))

eval154.0ms (1.6%)

Compiler

Compiled 43049 to 3296 computations (92.3% saved)

prune199.0ms (2.1%)

Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New1159181177
Fresh102131
Picked235
Done022
Total1171441215
Accuracy
100.0%
Counts
1215 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
24.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
32.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
30.9%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
52.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B))
86.9%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) x) (tan.f64 B))
99.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
26.2%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
26.2%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
26.3%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
36.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
26.4%
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
85.0%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
76.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
51.3%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
50.8%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
27.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
51.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
47.9%
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
99.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) (tan.f64 B))
26.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
49.5%
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
52.0%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
27.2%
(/.f64 #s(literal 1 binary64) B)
49.5%
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
51.2%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
99.6%
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
25.7%
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
26.3%
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
51.2%
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
10.3%
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
2.2%
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
86.7%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
38.7%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
49.5%
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
2.5%
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
26.4%
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
49.6%
(neg.f64 (/.f64 x (tan.f64 B)))
26.3%
(neg.f64 (/.f64 x B))
Compiler

Compiled 1333 to 820 computations (38.5% saved)

simplify161.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff0
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))
cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))
cost-diff128
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
cost-diff0
(*.f64 (*.f64 B B) #s(literal 1/3 binary64))
cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
cost-diff0
(/.f64 x B)
cost-diff128
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
cost-diff-64
(neg.f64 (/.f64 x B))
cost-diff0
(/.f64 x B)
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 B))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B))
cost-diff6528
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
Rules
2530×*-lowering-*.f32
2530×*-lowering-*.f64
1196×sum3-define
1072×fma-lowering-fma.f32
1072×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026162
177152
2205152
3529150
41214147
52821145
67926145
08185145
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))
(/ (- (/ 1 (cos B)) x) (sin B))
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
1
(cos B)
B
x
(sin B)
(neg (/ x B))
(/ x B)
x
B
(* (/ x B) (+ -1 (* (* B B) 1/3)))
(/ x B)
x
B
(+ -1 (* (* B B) 1/3))
-1
(* (* B B) 1/3)
(* B B)
1/3
(/ (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))) B)
(* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45))))))
x
(+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))
-1
(* (* B B) (+ 1/3 (* B (* B 1/45))))
(* B B)
B
(+ 1/3 (* B (* B 1/45)))
1/3
(* B (* B 1/45))
(* B 1/45)
1/45
(/ 1 (sin B))
1
(sin B)
B
Outputs
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B))
(- (/ 1 (cos B)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)
(/ 1 (cos B))
(/.f64 #s(literal 1 binary64) (cos.f64 B))
1
#s(literal 1 binary64)
(cos B)
(cos.f64 B)
B
x
(sin B)
(sin.f64 B)
(neg (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(/ x B)
(/.f64 x B)
x
B
(* (/ x B) (+ -1 (* (* B B) 1/3)))
(*.f64 x (+.f64 (*.f64 B #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)))
(/ x B)
(/.f64 x B)
x
B
(+ -1 (* (* B B) 1/3))
(+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))
-1
#s(literal -1 binary64)
(* (* B B) 1/3)
(*.f64 B (*.f64 B #s(literal 1/3 binary64)))
(* B B)
(*.f64 B B)
1/3
#s(literal 1/3 binary64)
(/ (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))) B)
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) B) (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))
(* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))
x
(+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))
-1
#s(literal -1 binary64)
(* (* B B) (+ 1/3 (* B (* B 1/45))))
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))
(* B B)
(*.f64 B B)
B
(+ 1/3 (* B (* B 1/45)))
(+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))
1/3
#s(literal 1/3 binary64)
(* B (* B 1/45))
(*.f64 B (*.f64 B #s(literal 1/45 binary64)))
(* B 1/45)
(*.f64 B #s(literal 1/45 binary64))
1/45
#s(literal 1/45 binary64)
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
1
#s(literal 1 binary64)
(sin B)
(sin.f64 B)
B

localize147.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 B)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.8%
(*.f64 B (*.f64 B #s(literal 1/45 binary64)))
accuracy99.7%
(*.f64 B #s(literal 1/45 binary64))
accuracy97.4%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))
accuracy94.9%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
accuracy100.0%
(*.f64 B B)
accuracy99.7%
(*.f64 (*.f64 B B) #s(literal 1/3 binary64))
accuracy86.9%
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
accuracy100.0%
(/.f64 x B)
accuracy100.0%
(neg.f64 (/.f64 x B))
accuracy100.0%
(cos.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 B))
accuracy99.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B))
accuracy99.7%
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
Results
106.0ms256×0valid
Compiler

Compiled 170 to 27 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 21.0ms (35.6% of total)
...c/correct-round.rkt:119:19: 11.0ms (18.6% of total)
ival-div: 9.0ms (15.2% of total)
ival-cos: 6.0ms (10.2% of total)
ival-sin: 5.0ms (8.5% of total)
ival-add: 4.0ms (6.8% of total)
ival-sub: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.4%)

Counts
19 → 324
Calls
Call 1
Inputs
#<alt (* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (- (/ 1 (cos B)) x)>
#<alt (/ 1 (cos B))>
#<alt (/ x B)>
#<alt (neg (/ x B))>
#<alt (* (/ x B) (+ -1 (* (* B B) 1/3)))>
#<alt (+ -1 (* (* B B) 1/3))>
#<alt (* (* B B) 1/3)>
#<alt (/ (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))) B)>
#<alt (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45))))))>
#<alt (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))>
#<alt (* (* B B) (+ 1/3 (* B (* B 1/45))))>
#<alt (/ 1 (sin B))>
#<alt (sin B)>
#<alt (cos B)>
#<alt (* B B)>
#<alt (* B 1/45)>
#<alt (* B (* B 1/45))>
Outputs
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (+ (* 1/24 (- 1 x)) (* (pow B 2) (- (+ 1/720 (* -1/720 (- 1 x))) (+ (* -1/6 (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))))))) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))>
#<alt (/ 1 (sin B))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))>
#<alt (* -1 (/ (* x (cos B)) (sin B)))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))>
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- 1/2 (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* -1/6 (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/2 (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ (- (/ 1 (cos B)) x) (sin B))>
#<alt (/ 1 (* (cos B) (sin B)))>
#<alt (+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))>
#<alt (+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))>
#<alt (+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))>
#<alt (* -1 (/ x (sin B)))>
#<alt (* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))>
#<alt (* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))>
#<alt (* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))>
#<alt (* -1 (/ x (sin B)))>
#<alt (* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))>
#<alt (* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))>
#<alt (* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* 1/2 (pow B 2))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)>
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (- (/ 1 (cos B)) x)>
#<alt (/ 1 (cos B))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (+ (* -1 x) (/ 1 (cos B)))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* x (- (/ 1 (* x (cos B))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow B 2)))>
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))>
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ 1 (cos B))>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (/ x B)>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (/ x B))>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)>
#<alt (* -1 (/ x B))>
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)>
#<alt (* 1/3 (* B x))>
#<alt (* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))>
#<alt (* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))>
#<alt (* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))>
#<alt (* 1/3 (* B x))>
#<alt (* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))>
#<alt (* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))>
#<alt (* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))>
#<alt -1>
#<alt (- (* 1/3 (pow B 2)) 1)>
#<alt (- (* 1/3 (pow B 2)) 1)>
#<alt (- (* 1/3 (pow B 2)) 1)>
#<alt (* 1/3 (pow B 2))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* 1/3 (pow B 2))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* (pow B 2) (- 1/3 (/ 1 (pow B 2))))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (* 1/3 (pow B 2))>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)>
#<alt (* -1 (/ x B))>
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)>
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)>
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)>
#<alt (* 1/45 (* (pow B 3) x))>
#<alt (* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))>
#<alt (* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt (* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt (* 1/45 (* (pow B 3) x))>
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x))))>
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))>
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/3 (* (pow B 2) x)))>
#<alt (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))))>
#<alt (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))))>
#<alt (* 1/45 (* (pow B 4) x))>
#<alt (* (pow B 4) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))>
#<alt (* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt (* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt (* 1/45 (* (pow B 4) x))>
#<alt (* (pow B 4) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))>
#<alt (* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt (* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))>
#<alt -1>
#<alt (- (* 1/3 (pow B 2)) 1)>
#<alt (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)>
#<alt (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)>
#<alt (* 1/45 (pow B 4))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))>
#<alt (* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))>
#<alt (* 1/45 (pow B 4))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))>
#<alt (* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))>
#<alt (* 1/3 (pow B 2))>
#<alt (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))>
#<alt (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))>
#<alt (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))>
#<alt (* 1/45 (pow B 4))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* 1/45 (pow B 4))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))>
#<alt (/ 1 B)>
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)>
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt (/ 1 (sin B))>
#<alt B>
#<alt (* B (+ 1 (* -1/6 (pow B 2))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))>
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt (sin B)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow B 2)))>
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))>
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (cos B)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (pow B 2)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 B)>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
#<alt (* 1/45 (pow B 2))>
Calls

81 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))) B)
1.0ms
x
@0
(* (/ x B) (+ -1 (* (* B B) 1/3)))
1.0ms
B
@0
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))
1.0ms
B
@inf
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))
1.0ms
B
@-inf
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))

rewrite490.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
3442×/-lowering-/.f32
3442×/-lowering-/.f64
3134×*-lowering-*.f32
3134×*-lowering-*.f64
1976×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026131
1156122
21330122
08701122
Stop Event
iter limit
node limit
Counts
19 → 730
Calls
Call 1
Inputs
(* (/ (- (/ 1 (cos B)) x) (sin B)) (cos B))
(/ (- (/ 1 (cos B)) x) (sin B))
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
(/ x B)
(neg (/ x B))
(* (/ x B) (+ -1 (* (* B B) 1/3)))
(+ -1 (* (* B B) 1/3))
(* (* B B) 1/3)
(/ (* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))) B)
(* x (+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45))))))
(+ -1 (* (* B B) (+ 1/3 (* B (* B 1/45)))))
(* (* B B) (+ 1/3 (* B (* B 1/45))))
(/ 1 (sin B))
(sin B)
(cos B)
(* B B)
(* B 1/45)
(* B (* B 1/45))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (cos.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x) (cos.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x) (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))) (sin.f64 B))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x))) (sin.f64 B))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x) (cos.f64 B))) (sin.f64 B))
(pow.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))))
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))
(*.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (*.f64 (cos.f64 B) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B)) x) (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
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(fma.f64 (*.f64 B #s(literal 1/3 binary64)) B (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(fma.f64 (*.f64 B (*.f64 B B)) (*.f64 B #s(literal 1/45 binary64)) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/45 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) B) B (*.f64 B (*.f64 B #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 B B) (*.f64 B #s(literal 1/45 binary64))) B (*.f64 B (*.f64 B #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) B) (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))) (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))) (*.f64 B B))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))) (*.f64 B B))))
(/.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (-.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))
(/.f64 (*.f64 (*.f64 B B) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (*.f64 B B) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))) (*.f64 B B)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))) (*.f64 B B)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))) (neg.f64 (-.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 B B) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 B B) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))) (*.f64 B B))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))) (*.f64 B B))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (+.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (-.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))
(*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) B) (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))) (*.f64 B B))
(*.f64 (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(*.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))) (*.f64 (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (-.f64 (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B))) (*.f64 (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))))
(*.f64 (*.f64 (*.f64 B B) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (*.f64 B B) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 B (*.f64 B B)) (*.f64 (*.f64 B (*.f64 B B)) #s(literal 1/91125 binary64)))) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1/2025 binary64))) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 B))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) #s(literal -1 binary64)))
(sin.f64 B)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)))
(/.f64 (sin.f64 B) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) #s(literal -1 binary64))
(pow.f64 (sin.f64 B) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 B))
(*.f64 (sin.f64 B) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B)) #s(literal -1 binary64))
(exp.f64 (log.f64 (cos.f64 B)))
(cos.f64 B)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 B) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64)))
(/.f64 (cos.f64 B) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) #s(literal -1 binary64))
(pow.f64 (cos.f64 B) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 B))
(*.f64 (cos.f64 B) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 B)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 B)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 B) #s(literal 2 binary64)))
(pow.f64 B #s(literal 2 binary64))
(pow.f64 (*.f64 B B) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 B)) #s(literal 2 binary64))
(*.f64 B B)
(*.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 B)))
(*.f64 B #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) B)
(*.f64 B (*.f64 B #s(literal 1/45 binary64)))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (*.f64 B B))
(*.f64 (*.f64 B #s(literal 1/45 binary64)) B)

simplify278.0ms (2.9%)

Algorithm
egg-herbie
Rules
5170×+-lowering-+.f64
5170×+-lowering-+.f32
3244×*-lowering-*.f32
3244×*-lowering-*.f64
1534×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02652730
17912583
226492519
081582519
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (+ (* 1/24 (- 1 x)) (* (pow B 2) (- (+ 1/720 (* -1/720 (- 1 x))) (+ (* -1/6 (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))))))) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/2 (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* -1/6 (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/2 (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ (- (/ 1 (cos B)) x) (sin B))
(/ 1 (* (cos B) (sin B)))
(+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))
(+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))
(+ (* -1 (/ x (sin B))) (/ 1 (* (cos B) (sin B))))
(* -1 (/ x (sin B)))
(* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))
(* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))
(* x (- (/ 1 (* x (* (cos B) (sin B)))) (/ 1 (sin B))))
(* -1 (/ x (sin B)))
(* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))
(* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))
(* -1 (* x (- (/ 1 (sin B)) (/ 1 (* x (* (cos B) (sin B)))))))
(- 1 x)
(- (+ 1 (* 1/2 (pow B 2))) x)
(- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)
(- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(- (/ 1 (cos B)) x)
(/ 1 (cos B))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(+ (* -1 x) (/ 1 (cos B)))
(* -1 x)
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* x (- (/ 1 (* x (cos B))) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
(* -1 (* x (- 1 (/ 1 (* x (cos B))))))
1
(+ 1 (* 1/2 (pow B 2)))
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ 1 (cos B))
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(* -1 (/ x B))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(* 1/3 (* B x))
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(* 1/3 (* B x))
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
-1
(- (* 1/3 (pow B 2)) 1)
(- (* 1/3 (pow B 2)) 1)
(- (* 1/3 (pow B 2)) 1)
(* 1/3 (pow B 2))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* 1/3 (pow B 2))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* (pow B 2) (- 1/3 (/ 1 (pow B 2))))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(* 1/3 (pow B 2))
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)
(* 1/45 (* (pow B 3) x))
(* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))
(* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(* 1/45 (* (pow B 3) x))
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x))))
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1))
(* -1 x)
(+ (* -1 x) (* 1/3 (* (pow B 2) x)))
(+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))))
(+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))))
(* 1/45 (* (pow B 4) x))
(* (pow B 4) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))
(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(* 1/45 (* (pow B 4) x))
(* (pow B 4) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))
(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
-1
(- (* 1/3 (pow B 2)) 1)
(- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)
(- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)
(* 1/45 (pow B 4))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(* 1/45 (pow B 4))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(* 1/3 (pow B 2))
(* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))
(* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))
(* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))
(* 1/45 (pow B 4))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* 1/45 (pow B 4))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(pow B 2)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 B)
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
(* 1/45 (pow B 2))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/24 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (+ (* -1/2 (- 1 x)) (* (pow B 2) (- (+ (* 1/24 (- 1 x)) (* (pow B 2) (- (+ 1/720 (* -1/720 (- 1 x))) (+ (* -1/6 (- (* 1/24 (- 1 x)) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x))))))))) (+ 1/24 (+ (* -1/6 (- (+ 1/2 (* -1/2 (- 1 x))) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 B (*.f64 B (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 B (*.f64 B (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/24 binary64)) (+.f64 (*.f64 B (*.f64 B (+.f64 #s(literal 1/720 binary64) (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/720 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/5040 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) #s(literal 1/120 binary64))))) (*.f64 (-.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/24 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))))) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)))))) x)) B)
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (* (cos B) (- (/ 1 (cos B)) x)) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- 1/2 (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (*.f64 (*.f64 B B) (+.f64 (-.f64 #s(literal 7/24 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64))))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/2 (* (pow B 2) (- (+ 5/24 (* (pow B 2) (- 61/720 (+ (* -1/6 (- 5/24 (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/2 (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- 1/2 (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
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(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(* -1 (/ x B))
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))) B))
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)
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(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
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(* -1 x)
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(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
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(* (pow B 4) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (-.f64 (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))) (/.f64 x (*.f64 (*.f64 B B) (*.f64 B B)))))
-1
#s(literal -1 binary64)
(- (* 1/3 (pow B 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)
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(- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)
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(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
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(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))))
(* 1/45 (pow B 4))
(*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))))
(* (pow B 4) (- (+ 1/45 (* 1/3 (/ 1 (pow B 2)))) (/ 1 (pow B 4))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (*.f64 B B))))))
(* 1/3 (pow B 2))
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(* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))
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(* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))
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(* 1/45 (pow B 4))
(*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* 1/45 (pow B 4))
(*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(* (pow B 4) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))
(*.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B))))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) #s(literal 1/120 binary64)))))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 B B) #s(literal -1/5040 binary64))))))))
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
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(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
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(cos B)
(cos.f64 B)
(cos B)
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(cos B)
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(cos B)
(cos.f64 B)
(cos B)
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(cos B)
(cos.f64 B)
(cos B)
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(cos B)
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(pow B 2)
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(pow B 2)
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(*.f64 B B)
(pow B 2)
(*.f64 B B)
(pow B 2)
(*.f64 B B)
(pow B 2)
(*.f64 B B)
(pow B 2)
(*.f64 B B)
(pow B 2)
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(pow B 2)
(*.f64 B B)
(pow B 2)
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(pow B 2)
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(pow B 2)
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(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
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(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 B)
(*.f64 B #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))
(* 1/45 (pow B 2))
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(* 1/45 (pow B 2))
(*.f64 (*.f64 B B) #s(literal 1/45 binary64))

eval224.0ms (2.3%)

Compiler

Compiled 26095 to 2691 computations (89.7% saved)

prune235.0ms (2.4%)

Pruning

57 alts after pruning (50 fresh and 7 done)

PrunedKeptTotal
New1147251172
Fresh92534
Picked325
Done055
Total1159571216
Accuracy
100.0%
Counts
1216 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.6%
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))
35.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
24.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
32.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
30.9%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
52.0%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B))
4.8%
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
99.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
26.2%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
26.2%
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
26.3%
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
36.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
25.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
76.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
51.2%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
5.3%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
51.3%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
50.8%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
22.8%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
27.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
27.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
51.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
27.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
47.9%
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
99.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) (tan.f64 B))
26.4%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
2.3%
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
49.5%
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
99.6%
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))
27.4%
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
52.0%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
34.1%
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))))
27.2%
(/.f64 #s(literal 1 binary64) B)
49.5%
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
26.2%
(/.f64 #s(literal -1 binary64) (/.f64 B x))
20.1%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
51.2%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
51.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B))
25.7%
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
2.2%
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
25.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
26.1%
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
10.3%
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
2.2%
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
1.8%
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
26.2%
(*.f64 x (/.f64 #s(literal -1 binary64) B))
86.7%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
38.7%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
2.6%
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
49.5%
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
2.5%
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
21.4%
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
2.4%
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
49.6%
(neg.f64 (/.f64 x (tan.f64 B)))
26.3%
(neg.f64 (/.f64 x B))
Compiler

Compiled 2175 to 922 computations (57.6% saved)

regimes89.0ms (0.9%)

Counts
90 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (tan.f64 B))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) x) (tan.f64 B))
(*.f64 (/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sin.f64 B)) (tan.f64 B))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 B) (sin.f64 B))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

30.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
25.0ms
B
24.0ms
x
Results
AccuracySegmentsBranch
99.8%1B
99.8%1x
99.8%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes52.0ms (0.5%)

Counts
72 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (tan.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
Calls

2 calls:

22.0ms
B
20.0ms
x
Results
AccuracySegmentsBranch
81.2%3B
98.9%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts
68 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.5%)

Counts
66 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))
Outputs
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes47.0ms (0.5%)

Counts
64 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
Calls

2 calls:

18.0ms
x
18.0ms
B
Results
AccuracySegmentsBranch
76.1%2B
75.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (0.5%)

Counts
63 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(*.f64 (*.f64 B (*.f64 B B)) (*.f64 x (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 B B)))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/3 binary64))))) B)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) (/.f64 x B))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))))) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) x) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) B) (*.f64 B (*.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) x))) (*.f64 B B))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))) (*.f64 x (*.f64 B B)))) B)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 B (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64))))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B)))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 B B)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 B B) (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 x B))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))))))) B)
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64)))))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 x #s(literal 1/105 binary64)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) B)
(/.f64 (-.f64 (/.f64 (/.f64 x B) (/.f64 B x)) (*.f64 (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 B B))) (/.f64 B x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))) (*.f64 B (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B #s(literal 7/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 B B) #s(literal -1 binary64)) (+.f64 (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 B B) (-.f64 (-.f64 (*.f64 x #s(literal -1/720 binary64)) (+.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x #s(literal -1/360 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/18 binary64))) (*.f64 x #s(literal -1/120 binary64)))))))))) x) B)
Outputs
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
Calls

2 calls:

25.0ms
x
18.0ms
B
Results
AccuracySegmentsBranch
51.3%1x
51.3%1B
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.4%)

Counts
32 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) B)
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B))
(*.f64 (*.f64 B (*.f64 B B)) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))))
(/.f64 (*.f64 x (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) B)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x B) (/.f64 B x))) (/.f64 x B))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
Calls

2 calls:

23.0ms
B
9.0ms
x
Results
AccuracySegmentsBranch
51.2%1B
51.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) B)
(*.f64 B (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))
(*.f64 (/.f64 x B) (*.f64 (*.f64 B B) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal 1/6 binary64)))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) B)
(*.f64 B (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 B B)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 #s(literal -1 binary64) B)))
(*.f64 (/.f64 x B) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) B)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
Calls

2 calls:

7.0ms
B
7.0ms
x
Results
AccuracySegmentsBranch
51.2%1B
51.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
(*.f64 x (*.f64 B #s(literal 1/3 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) (/.f64 B x))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
Outputs
(neg.f64 (/.f64 x B))
(/.f64 #s(literal 1 binary64) B)
(neg.f64 (/.f64 x B))
Calls

2 calls:

7.0ms
B
3.0ms
x
Results
AccuracySegmentsBranch
27.2%1B
50.3%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
Outputs
(/.f64 #s(literal 1 binary64) B)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
27.2%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch63.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
2.051252496129114e-28
9.14248208854455e-15
23.0ms
-69852958.8069449
-3.552433628305594e-5
Results
49.0ms320×0valid
Compiler

Compiled 359 to 284 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 15.0ms (38% of total)
ival-tan: 7.0ms (17.7% of total)
ival-sin: 7.0ms (17.7% of total)
ival-div: 6.0ms (15.2% of total)
ival-mult: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.051252496129114e-28
9.14248208854455e-15
25.0ms
-69852958.8069449
-3.552433628305594e-5
Results
38.0ms320×0valid
Compiler

Compiled 339 to 274 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sin: 10.0ms (35.2% of total)
ival-tan: 7.0ms (24.6% of total)
ival-div: 5.0ms (17.6% of total)
ival-mult: 4.0ms (14.1% of total)
ival-add: 2.0ms (7% of total)
ival-neg: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.00013456922409329358
19643.901635790768
25.0ms
-69852958.8069449
-3.552433628305594e-5
Results
41.0ms304×0valid
Compiler

Compiled 304 to 242 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-tan: 16.0ms (49.5% of total)
ival-sin: 6.0ms (18.6% of total)
ival-div: 5.0ms (15.5% of total)
ival-mult: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.00040094173010003635
0.003167109441978668
Results
8.0ms96×0valid
Compiler

Compiled 193 to 146 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (19.5% of total)
ival-tan: 1.0ms (19.5% of total)
ival-mult: 1.0ms (19.5% of total)
ival-sin: 1.0ms (19.5% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.1368921589650001e-7
0.00013456922409329358
24.0ms
-69852958.8069449
-3.552433628305594e-5
Results
34.0ms288×0valid
Compiler

Compiled 253 to 194 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-tan: 9.0ms (37.3% of total)
ival-sin: 6.0ms (24.9% of total)
ival-div: 4.0ms (16.6% of total)
ival-mult: 2.0ms (8.3% of total)
ival-add: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify48.0ms (0.5%)

Algorithm
egg-herbie
Rules
310×distribute-lft-neg-in_binary64
254×unsub-neg_binary64
186×neg-mul-1_binary64
156×neg-sub0_binary64
138×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062147
1107147
2134147
3168147
4208147
5270147
6376147
7544147
8786147
9935147
101045147
111098147
121119147
131124147
141125147
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x #s(literal -5312662293228351/147573952589676412928 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B)) (if (<=.f64 x #s(literal 713053462628379/79228162514264337593543950336 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x #s(literal -2102928824402889/36893488147419103232 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B)) (if (<=.f64 x #s(literal 713053462628379/79228162514264337593543950336 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))))
(if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (neg.f64 (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))))
(if (<=.f64 B #s(literal 208967022709991/72057594037927936 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(if (<=.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 x B)) (if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 x B))))
(/.f64 #s(literal 1 binary64) B)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x #s(literal -5312662293228351/147573952589676412928 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B)) (if (<=.f64 x #s(literal 713053462628379/79228162514264337593543950336 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x #s(literal -2102928824402889/36893488147419103232 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B)) (if (<=.f64 x #s(literal 713053462628379/79228162514264337593543950336 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (-.f64 #s(literal 1 binary64) x) (tan.f64 B))))
(if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (neg.f64 (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))))
(if (<=.f64 x #s(literal -4165829655317709/2251799813685248 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 B))))
(if (<=.f64 B #s(literal 208967022709991/72057594037927936 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64)))))))) B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(if (<=.f64 B #s(literal 208967022709991/72057594037927936 binary64)) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (*.f64 B (*.f64 B #s(literal 1/45 binary64))))))) #s(literal 1 binary64)) B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) #s(literal 1 binary64)) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 B (*.f64 B #s(literal 1/6 binary64))))) B)
(/.f64 (+.f64 (-.f64 (*.f64 B (*.f64 B #s(literal 1/6 binary64))) x) #s(literal 1 binary64)) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(if (<=.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 x B)) (if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 x B))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) B)) (if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 x (-.f64 #s(literal 0 binary64) B))))
(/.f64 #s(literal 1 binary64) B)

soundness1.9s (19.8%)

Rules
5602×*-lowering-*.f32
5602×*-lowering-*.f64
4270×*-lowering-*.f32
4270×*-lowering-*.f64
3984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
17639
277739
0834939
034146
1239135
22437132
010650132
0108
1268
2578
3998
41848
53648
64968
76078
89768
910908
1011288
1111368
011368
02552439
17802274
227212211
085142211
01691536
15151458
219251436
374421436
081541436
04664222
115503946
262063918
082733918
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 420 to 246 computations (41.4% saved)

preprocess72.0ms (0.7%)

Remove

(negabs B)

Compiler

Compiled 446 to 212 computations (52.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...