VandenBroeck and Keller, Equation (24)

Time bar (total: 9.9s)

analyze220.0ms (2.2%)

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: 109.0ms
ival-sin: 29.0ms (26.7% of total)
ival-mult: 24.0ms (22.1% of total)
ival-div: 16.0ms (14.7% of total)
ival-tan: 13.0ms (12% of total)
ival-add: 12.0ms (11% of total)
ival-neg: 12.0ms (11% of total)
const: 2.0ms (1.8% of total)
backward-pass: 1.0ms (0.9% of total)

sample1.2s (12.3%)

Results
925.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-tan: 215.0ms (30.6% of total)
ival-sin: 177.0ms (25.2% of total)
ival-div: 141.0ms (20% of total)
ival-mult: 68.0ms (9.7% of total)
ival-add: 46.0ms (6.5% of total)
ival-neg: 44.0ms (6.3% of total)
const: 11.0ms (1.6% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess77.0ms (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)

explain109.0ms (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
73.0ms512×0valid
Compiler

Compiled 100 to 32 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-tan: 12.0ms (26.7% of total)
ival-sin: 11.0ms (24.5% of total)
ival-div: 10.0ms (22.3% of total)
ival-add: 5.0ms (11.1% of total)
ival-mult: 4.0ms (8.9% of total)
ival-neg: 3.0ms (6.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (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)

simplify28.0ms (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)

localize64.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 B)
accuracy100.0%
(tan.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.8%
(/.f64 x (tan.f64 B))
accuracy100.0%
(tan.f64 B)
accuracy99.9%
(/.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
45.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-tan: 9.0ms (34% of total)
ival-div: 6.0ms (22.6% of total)
ival-sin: 5.0ms (18.9% of total)
ival-mult: 2.0ms (7.5% of total)
ival-add: 1.0ms (3.8% of total)
ival-sub: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% 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)))

rewrite313.0ms (3.2%)

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)))

simplify223.0ms (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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(/ (- (+ 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)
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B
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(sin B)
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(sin B)
(sin.f64 B)
(sin B)
(sin.f64 B)
(sin B)
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B
(* B (+ 1 (* 1/3 (pow B 2))))
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eval84.0ms (0.8%)

Compiler

Compiled 17059 to 1409 computations (91.7% saved)

prune68.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New76716783
Fresh000
Picked112
Done000
Total76817785
Accuracy
100.0%
Counts
785 → 17
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))
41.0%
(/.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))
85.4%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
52.7%
(/.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)
52.7%
(/.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)
52.9%
(/.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)
47.5%
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
54.6%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
44.9%
(-.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)) (/.f64 x (tan.f64 B)))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
99.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
72.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
88.3%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
Compiler

Compiled 541 to 358 computations (33.8% saved)

simplify176.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (sin.f64 B))
cost-diff0
(tan.f64 B)
cost-diff0
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
cost-diff12928
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
cost-diff0
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff6272
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
Rules
2924×*-lowering-*.f32
2924×*-lowering-*.f64
1662×/-lowering-/.f32
1662×/-lowering-/.f64
1384×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019109
151109
2124104
3293104
4826104
53063104
67397104
08515104
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
(/ 1 (sin B))
1
(sin B)
B
(* (/ x (sin B)) (cos B))
(/ x (sin B))
x
(cos B)
(/ (- 1 x) B)
(- 1 x)
1
x
B
(/ 1 (sin B))
1
(sin B)
B
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
(/ 1 (sin B))
1
(sin B)
B
(/ 1 (/ (tan B) x))
(/ (tan B) x)
(tan B)
x
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
(- (tan B) (* x (sin B)))
(tan B)
B
(* x (sin B))
x
(sin B)
(* (tan B) (sin B))
Outputs
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) #s(literal -1 binary64)))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
1
#s(literal 1 binary64)
(sin B)
(sin.f64 B)
B
(* (/ x (sin B)) (cos B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x (sin B))
(/.f64 x (sin.f64 B))
x
(cos B)
(cos.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 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
1
#s(literal 1 binary64)
(sin B)
(sin.f64 B)
B
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
(-.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
(/ 1 (/ (tan B) x))
(/.f64 x (tan.f64 B))
(/ (tan B) x)
(/.f64 (tan.f64 B) x)
(tan B)
(tan.f64 B)
x
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(- (tan B) (* x (sin B)))
(-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x))
(tan B)
(tan.f64 B)
B
(* x (sin B))
(*.f64 (sin.f64 B) x)
x
(sin B)
(sin.f64 B)
(* (tan B) (sin B))
(*.f64 (sin.f64 B) (tan.f64 B))

localize106.0ms (1.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
accuracy99.8%
(*.f64 x (sin.f64 B))
accuracy99.8%
(*.f64 (tan.f64 B) (sin.f64 B))
accuracy85.4%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
accuracy100.0%
(tan.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.8%
(/.f64 (tan.f64 B) x)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
accuracy100.0%
(sin.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(cos.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.8%
(/.f64 x (sin.f64 B))
accuracy99.7%
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
Results
75.0ms256×0valid
Compiler

Compiled 123 to 20 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 11.0ms (25.4% of total)
ival-tan: 10.0ms (23.1% of total)
ival-sin: 6.0ms (13.9% of total)
ival-sub: 5.0ms (11.6% of total)
ival-cos: 5.0ms (11.6% of total)
ival-mult: 5.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
16 → 312
Calls
Call 1
Inputs
#<alt (- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))>
#<alt (/ 1 (sin B))>
#<alt (sin B)>
#<alt (* (/ x (sin B)) (cos B))>
#<alt (/ (- 1 x) B)>
#<alt (- 1 x)>
#<alt (- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))>
#<alt (/ 1 (/ (tan B) x))>
#<alt (/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))>
#<alt (- (tan B) (* x (sin B)))>
#<alt (tan B)>
#<alt (* x (sin B))>
#<alt (/ x (sin B))>
#<alt (cos B)>
#<alt (/ (tan B) x)>
#<alt (* (tan B) (sin B))>
Outputs
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 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 (* 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 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 (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (+ (* 1/24 x) (* (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)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 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 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 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 (/ 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 (/ (* 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 (/ (- 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 (* 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 (* 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 (/ 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 (/ x B)>
#<alt (/ (+ x (* 1/6 (* (pow B 2) x))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)>
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) 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 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 (/ B x)>
#<alt (* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x)))>
#<alt (* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x)))>
#<alt (* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (/ (sin B) (* x (cos B)))>
#<alt (pow B 2)>
#<alt (* (pow B 2) (+ 1 (* 1/6 (pow B 2))))>
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2))))))>
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
#<alt (/ (pow (sin B) 2) (cos B))>
Calls

78 calls:

TimeVariablePointExpression
5.0ms
B
@-inf
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
5.0ms
B
@inf
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
1.0ms
B
@0
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
1.0ms
B
@0
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
1.0ms
B
@inf
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))

rewrite623.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
4144×/-lowering-/.f32
4144×/-lowering-/.f64
3916×*-lowering-*.f32
3916×*-lowering-*.f64
2144×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01988
114173
2139572
0840972
Stop Event
iter limit
node limit
Counts
16 → 1185
Calls
Call 1
Inputs
(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
(/ 1 (sin B))
(sin B)
(* (/ x (sin B)) (cos B))
(/ (- 1 x) B)
(- 1 x)
(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
(/ 1 (/ (tan B) x))
(/ (- (tan B) (* x (sin B))) (* (tan B) (sin B)))
(- (tan B) (* x (sin B)))
(tan B)
(* x (sin B))
(/ x (sin B))
(cos B)
(/ (tan B) x)
(* (tan B) (sin B))
Outputs
(+.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) (*.f64 x (cos.f64 B))) (sin.f64 B)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal 1 binary64)) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (+.f64 (*.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) (*.f64 x (cos.f64 B))) (sin.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) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) x (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 (sin.f64 B) (tan.f64 B))) (/.f64 x (sin.f64 B)) (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 (sin.f64 B) (sin.f64 B))) (/.f64 x (tan.f64 B)) (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 (sin.f64 B) (sin.f64 B)) (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) (fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 (sin.f64 B) (tan.f64 B)) (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))))
(+.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (neg.f64 (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64)))) (fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (fma.f64 (tan.f64 B) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)) (sin.f64 B)))) (fma.f64 (neg.f64 (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))) (sin.f64 B) (*.f64 (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)) (sin.f64 B))))
(+.f64 (fma.f64 (tan.f64 B) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) x))) (fma.f64 (neg.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (tan.f64 B)))) x (*.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) x)))
(+.f64 (fma.f64 (tan.f64 B) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B)) (*.f64 (sin.f64 B) x)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B))) (*.f64 (sin.f64 B) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B)) (*.f64 (sin.f64 B) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x))))
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(*.f64 (/.f64 (tan.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 B)) #s(literal -1 binary64)) (sin.f64 B))
(*.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 B))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (cos.f64 B))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (neg.f64 (cos.f64 B)))
(*.f64 (sin.f64 B) (tan.f64 B))
(*.f64 (tan.f64 B) (sin.f64 B))

simplify335.0ms (3.4%)

Algorithm
egg-herbie
Rules
4830×+-lowering-+.f64
4830×+-lowering-+.f32
4108×*-lowering-*.f32
4108×*-lowering-*.f64
1442×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03872824
112512642
247052580
084922580
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 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)))
(* 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 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 (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (+ (* 1/24 x) (* (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)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 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 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 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))))))
(/ 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))
(/ (* 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))
(/ (- 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))))))
(* 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))
(* 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))
(/ 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))
(/ x B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) 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))
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)
(/ B x)
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x)))
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x)))
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x)))
(/ (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 (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)))
(pow B 2)
(* (pow B 2) (+ 1 (* 1/6 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2))))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 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) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 B (+.f64 (*.f64 x #s(literal 23/360 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal -1/24 binary64)))))))) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 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 (*.f64 x #s(literal 23/360 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 (*.f64 B B) (+.f64 (+.f64 #s(literal 31/15120 binary64) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 x #s(literal -1/72 binary64)) (*.f64 x #s(literal -1/120 binary64))))) (+.f64 (*.f64 x #s(literal -1/336 binary64)) (*.f64 x #s(literal 1/720 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)))
(-.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))
(/.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))))
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(*.f64 (*.f64 B B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) #s(literal 31/360 binary64))))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))
(*.f64 (*.f64 B B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 B B) #s(literal 173/5040 binary64)))))))))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))

eval239.0ms (2.4%)

Compiler

Compiled 39090 to 2393 computations (93.9% saved)

prune132.0ms (1.3%)

Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1682291711
Fresh6511
Picked235
Done011
Total1690381728
Accuracy
100.0%
Counts
1728 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
25.1%
(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))
99.6%
(/.f64 (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (sin.f64 B)) (/.f64 (tan.f64 B) x))
39.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
51.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
48.8%
(/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (sin.f64 B) x))
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) x)))
19.0%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
41.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
51.6%
(/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (*.f64 (tan.f64 B) (sin.f64 B)))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
50.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
28.1%
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
52.7%
(/.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 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))))) B)
52.7%
(/.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)
52.9%
(/.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)
52.9%
(/.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)
26.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (*.f64 B (*.f64 B (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) B)
26.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
26.7%
(/.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)
51.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
26.7%
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
26.8%
(/.f64 #s(literal 1 binary64) (*.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))))))))
54.6%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
27.0%
(/.f64 #s(literal 1 binary64) B)
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
99.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (*.f64 x (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
72.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
52.8%
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
88.3%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
Compiler

Compiled 1089 to 697 computations (36% saved)

simplify163.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 B)
cost-diff0
(pow.f64 (sin.f64 B) #s(literal -1/2 binary64))
cost-diff12800
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) B)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B))
cost-diff256
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B)))
cost-diff1024
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff384
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
cost-diff0
(/.f64 #s(literal 1 binary64) B)
cost-diff0
(cos.f64 B)
cost-diff0
(*.f64 x (cos.f64 B))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
Rules
2826×sum3-define
2144×fnmadd-define
1660×fma-lowering-fma.f32
1660×fma-lowering-fma.f64
1644×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025135
170129
2146121
3365119
41006119
53088111
66167111
08277111
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (* x (cos B))) (sin B))
(- 1 (* x (cos B)))
1
(* x (cos B))
x
(cos B)
B
(sin B)
(/ 1 B)
1
B
(/ (* (- 1 (* x x)) (/ 1 (+ 1 x))) B)
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(- 1 (* x x))
1
(* x x)
x
(/ 1 (+ 1 x))
(+ 1 x)
B
(/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))
(- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B)))
(* (/ 1 B) (/ 1 B))
(/ 1 B)
1
B
(* (/ x B) (/ x B))
(/ x B)
x
(+ (/ 1 B) (/ x B))
(pow (pow (sin B) -1/2) 2)
(pow (sin B) -1/2)
(sin B)
B
-1/2
2
Outputs
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
1
#s(literal 1 binary64)
(* x (cos B))
(*.f64 x (cos.f64 B))
x
(cos B)
(cos.f64 B)
B
(sin B)
(sin.f64 B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
1
#s(literal 1 binary64)
B
(/ (* (- 1 (* x x)) (/ 1 (+ 1 x))) B)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) B))
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(/.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
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
B
(/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) B))
(- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) B) B))
(* (/ 1 B) (/ 1 B))
(/.f64 (/.f64 #s(literal 1 binary64) B) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
1
#s(literal 1 binary64)
B
(* (/ x B) (/ x B))
(/.f64 (*.f64 x x) (*.f64 B B))
(/ x B)
(/.f64 x B)
x
(+ (/ 1 B) (/ x B))
(+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))
(pow (pow (sin B) -1/2) 2)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(pow (sin B) -1/2)
(pow.f64 (sin.f64 B) #s(literal -1/2 binary64))
(sin B)
(sin.f64 B)
B
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)

localize120.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 B)
accuracy99.9%
(pow.f64 (sin.f64 B) #s(literal -1/2 binary64))
accuracy99.4%
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy99.7%
(*.f64 (/.f64 x B) (/.f64 x B))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B))
accuracy84.2%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B)))
accuracy63.5%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy86.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) B)
accuracy100.0%
(sin.f64 B)
accuracy100.0%
(cos.f64 B)
accuracy99.9%
(*.f64 x (cos.f64 B))
accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
Results
63.0ms198×0valid
21.0ms58×0invalid
Compiler

Compiled 160 to 26 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 10.0ms (19.1% of total)
ival-mult: 9.0ms (17.2% of total)
ival-pow: 9.0ms (17.2% of total)
ival-cos: 8.0ms (15.3% of total)
ival-sub: 7.0ms (13.4% of total)
ival-sin: 5.0ms (9.6% of total)
ival-add: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts
18 → 300
Calls
Call 1
Inputs
#<alt (/ (- 1 (* x (cos B))) (sin B))>
#<alt (- 1 (* x (cos B)))>
#<alt (* x (cos B))>
#<alt (cos B)>
#<alt (/ 1 B)>
#<alt (/ (* (- 1 (* x x)) (/ 1 (+ 1 x))) B)>
#<alt (* (- 1 (* x x)) (/ 1 (+ 1 x)))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))>
#<alt (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B)))>
#<alt (* (/ 1 B) (/ 1 B))>
#<alt (pow (pow (sin B) -1/2) 2)>
#<alt (pow (sin B) -1/2)>
#<alt (sin B)>
#<alt (/ 1 (+ 1 x))>
#<alt (+ 1 x)>
#<alt (* (/ x B) (/ x 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 (/ (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 x) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 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 (* -1 (* x (cos B))))>
#<alt (+ 1 (* -1 (* x (cos B))))>
#<alt (+ 1 (* -1 (* x (cos B))))>
#<alt (* -1 (* x (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* -1 (* x (cos B)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* 1/2 (* (pow B 2) x))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* 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 (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 (/ 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 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 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))>
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))>
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))>
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))>
#<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)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ (- 1 (pow x 2)) (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))>
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))>
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))>
#<alt (* -1 (/ (pow x 2) (pow B 2)))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (* -1 (/ (pow x 2) (pow B 2)))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 1 (pow B 2))>
#<alt (/ 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 (sqrt (/ 1 B))>
#<alt (/ (+ (sqrt B) (* 1/12 (sqrt (pow B 5)))) B)>
#<alt (/ (+ (sqrt B) (* (pow B 3) (+ (* 7/720 (sqrt (pow B 3))) (* 1/12 (sqrt (/ 1 B)))))) B)>
#<alt (/ (+ (sqrt B) (* (pow B 3) (+ (* 1/12 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/288 (sqrt (/ 1 B))) (* 7/720 (sqrt (/ 1 B)))))))) B)>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 1 (sin B)))>
#<alt (sqrt (/ 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 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<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 (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
#<alt (/ (pow x 2) (pow B 2))>
Calls

75 calls:

TimeVariablePointExpression
7.0ms
x
@0
(/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))
3.0ms
B
@inf
(pow (sin B) -1/2)
1.0ms
B
@0
(/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))
1.0ms
B
@0
(/ (* (- 1 (* x x)) (/ 1 (+ 1 x))) B)
1.0ms
B
@0
(pow (sin B) -1/2)

rewrite392.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
4374×/-lowering-/.f32
4374×/-lowering-/.f64
2250×*-lowering-*.f32
2250×*-lowering-*.f64
1710×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02598
118577
2177773
0840273
Stop Event
iter limit
node limit
Counts
18 → 1029
Calls
Call 1
Inputs
(/ (- 1 (* x (cos B))) (sin B))
(- 1 (* x (cos B)))
(* x (cos B))
(cos B)
(/ 1 B)
(/ (* (- 1 (* x x)) (/ 1 (+ 1 x))) B)
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(- 1 (* x x))
(* x x)
(/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B)))
(- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B)))
(* (/ 1 B) (/ 1 B))
(pow (pow (sin B) -1/2) 2)
(pow (sin B) -1/2)
(sin B)
(/ 1 (+ 1 x))
(+ 1 x)
(* (/ x B) (/ x B))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) (*.f64 x (cos.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (cos.f64 B)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))) (sin.f64 B)) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))) (sin.f64 B)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (sin.f64 B)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.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 x (cos.f64 B)))) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64)) (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (*.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))))) (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/4 binary64)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (-.f64 #s(literal 0 binary64) (sin.f64 B))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64)))))
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(*.f64 (exp.f64 (log.f64 (/.f64 x B))) (exp.f64 (log.f64 (/.f64 x B))))

simplify259.0ms (2.6%)

Algorithm
egg-herbie
Rules
2568×*-lowering-*.f32
2568×*-lowering-*.f64
2370×+-lowering-+.f64
2370×+-lowering-+.f32
1716×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02502010
17271827
221921820
360381809
081461809
Stop Event
iter limit
node limit
Counts
300 → 300
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 (/ (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 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 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 (* -1 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* -1 (* x (cos B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* 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 (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)
(/ 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 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 (pow x 2)) (* B (- (* -1 x) 1))))
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))
(/ 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)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ (- 1 (pow x 2)) (pow B 2))
(/ 1 (pow B 2))
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))
(* -1 (/ (pow x 2) (pow B 2)))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(* -1 (/ (pow x 2) (pow B 2)))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 1 (pow B 2))
(/ 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))
(sqrt (/ 1 B))
(/ (+ (sqrt B) (* 1/12 (sqrt (pow B 5)))) B)
(/ (+ (sqrt B) (* (pow B 3) (+ (* 7/720 (sqrt (pow B 3))) (* 1/12 (sqrt (/ 1 B)))))) B)
(/ (+ (sqrt B) (* (pow B 3) (+ (* 1/12 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/288 (sqrt (/ 1 B))) (* 7/720 (sqrt (/ 1 B)))))))) B)
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 1 (sin B)))
(sqrt (/ 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 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
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)))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
(/ (pow x 2) (pow B 2))
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) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 x) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B (*.f64 B (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64))))))))) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 (*.f64 B B) (+.f64 (-.f64 (-.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/5040 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/120 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))) B)
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (cos B))))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(+ 1 (* -1 (* x (cos B))))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(+ 1 (* -1 (* x (cos B))))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* -1 (* x (cos B)))
(-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))
(* x (- (/ 1 x) (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (- (/ 1 x) (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (- (/ 1 x) (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* -1 (* x (cos B)))
(-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 B B) #s(literal -1/24 binary64))))))
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 B (*.f64 B (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 B B) #s(literal 1/720 binary64)))))))) x))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
x
(+ x (* -1/2 (* (pow B 2) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+.f64 x (*.f64 B (*.f64 B (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) #s(literal 1/24 binary64)))))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(+.f64 x (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 B B)) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 B B) #s(literal -1/720 binary64)))))))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
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(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)
(/ (pow x 2) (pow B 2))
(/.f64 (/.f64 (*.f64 x x) B) B)

eval185.0ms (1.9%)

Compiler

Compiled 40367 to 2914 computations (92.8% saved)

prune189.0ms (1.9%)

Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New1413201433
Fresh92029
Picked235
Done134
Total1425461471
Accuracy
100.0%
Counts
1471 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
25.1%
(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))
99.6%
(/.f64 (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (sin.f64 B)) (/.f64 (tan.f64 B) x))
11.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B B)))))
34.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
48.8%
(/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
52.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (sin.f64 B) x))
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) x)))
19.0%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
41.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
38.4%
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
81.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
28.1%
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
52.7%
(/.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 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))))) B)
52.7%
(/.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)
52.9%
(/.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)
26.6%
(/.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)
26.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
26.7%
(/.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)
25.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
26.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
25.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) B)
26.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
26.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
26.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
32.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
41.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
32.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
26.4%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
26.7%
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
26.8%
(/.f64 #s(literal 1 binary64) (*.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))))))))
54.6%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
27.0%
(/.f64 #s(literal 1 binary64) B)
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
72.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
52.8%
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
88.3%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
38.6%
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))
Compiler

Compiled 1360 to 855 computations (37.1% saved)

simplify205.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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) B))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
cost-diff128
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff256
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
cost-diff256
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
Rules
2366×fma-lowering-fma.f32
2366×fma-lowering-fma.f64
1810×*-lowering-*.f32
1810×*-lowering-*.f64
1728×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030174
175169
2173161
3522153
42173153
56881153
08590153
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 (sin B)) (- 1 (* x (cos B))))
(/ 1 (sin B))
1
(sin B)
B
(- 1 (* x (cos B)))
(* x (cos B))
x
(cos B)
(/ (- 0 x) B)
(- 0 x)
0
x
B
(/ (* (- 1 (* x x)) (/ 1 x)) B)
(* (- 1 (* x x)) (/ 1 x))
(- 1 (* x x))
1
(* x x)
x
(/ 1 x)
B
(/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)
(* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x))
(- 1 (* x x))
1
(* x x)
x
(/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)
(+ 1 (/ (+ -1 (/ 1 x)) x))
(/ (+ -1 (/ 1 x)) x)
(+ -1 (/ 1 x))
-1
(/ 1 x)
B
(+ (neg (* x (/ 1 (tan B)))) (/ 1 B))
(neg (* x (/ 1 (tan B))))
(* x (/ 1 (tan B)))
x
(/ 1 (tan B))
1
(tan B)
B
(/ 1 B)
Outputs
(* (/ 1 (sin B)) (- 1 (* x (cos 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
#s(literal 1 binary64)
(sin B)
(sin.f64 B)
B
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(* x (cos B))
(*.f64 x (cos.f64 B))
x
(cos B)
(cos.f64 B)
(/ (- 0 x) B)
(-.f64 #s(literal 0 binary64) (/.f64 x B))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
B
(/ (* (- 1 (* x x)) (/ 1 x)) B)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) B)
(* (- 1 (* x x)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
B
(/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) B) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))
(* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #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
(/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(+ 1 (/ (+ -1 (/ 1 x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(/ (+ -1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(+ -1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
B
(+ (neg (* x (/ 1 (tan B)))) (/ 1 B))
(-.f64 (/.f64 #s(literal 1 binary64) 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 B)
(/.f64 #s(literal 1 binary64) B)

localize196.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 B)
accuracy100.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy99.6%
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
accuracy99.8%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy97.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
accuracy80.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
accuracy80.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(cos.f64 B)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy99.9%
(*.f64 x (cos.f64 B))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
Results
157.0ms256×0valid
Compiler

Compiled 199 to 31 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-div: 39.0ms (33.5% of total)
ival-tan: 34.0ms (29.2% of total)
ival-sin: 14.0ms (12% of total)
ival-mult: 11.0ms (9.5% of total)
ival-cos: 9.0ms (7.7% of total)
ival-add: 4.0ms (3.4% of total)
ival-sub: 4.0ms (3.4% of total)
const: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
21 → 360
Calls
Call 1
Inputs
#<alt (* (/ 1 (sin B)) (- 1 (* x (cos B))))>
#<alt (/ 1 (sin B))>
#<alt (sin B)>
#<alt (- 1 (* x (cos B)))>
#<alt (/ (- 0 x) B)>
#<alt (- 0 x)>
#<alt (/ (* (- 1 (* x x)) (/ 1 x)) B)>
#<alt (* (- 1 (* x x)) (/ 1 x))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)>
#<alt (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x))>
#<alt (+ (neg (* x (/ 1 (tan B)))) (/ 1 B))>
#<alt (* x (/ 1 (tan B)))>
#<alt (neg (* x (/ 1 (tan B))))>
#<alt (/ 1 (tan B))>
#<alt (* x (cos B))>
#<alt (cos B)>
#<alt (/ (+ -1 (/ 1 x)) x)>
#<alt (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)>
#<alt (tan B)>
Outputs
#<alt (/ (- 1 x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)>
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 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 (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 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 (* x (cos B))))>
#<alt (+ 1 (* -1 (* x (cos B))))>
#<alt (+ 1 (* -1 (* x (cos B))))>
#<alt (* -1 (* x (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* x (- (/ 1 x) (cos B)))>
#<alt (* -1 (* x (cos B)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* 1/2 (* (pow B 2) x))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)>
#<alt (- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos B)))>
#<alt (- 1 (* x (cos 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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1 (* B x))>
#<alt (/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)>
#<alt (/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)>
#<alt (/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)>
#<alt (* -1 (/ x B))>
#<alt (* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ (- 1 (pow x 2)) (* B x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<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 (* B (pow x 3)))>
#<alt (/ (+ (* -1 (/ x B)) (/ 1 B)) (pow x 3))>
#<alt (/ (+ (* x (- (/ (pow x 2) B) (/ 1 B))) (/ 1 B)) (pow x 3))>
#<alt (/ (+ (* x (- (* (pow x 2) (+ (* -1 (/ x B)) (/ 1 B))) (/ 1 B))) (/ 1 B)) (pow x 3))>
#<alt (* -1 (/ x B))>
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))>
#<alt (* x (- (/ 1 (* B x)) (+ (/ 1 B) (/ 1 (* B (pow x 3))))))>
#<alt (* x (- (+ (/ 1 (* B x)) (/ 1 (* B (pow x 4)))) (+ (/ 1 B) (/ 1 (* B (pow x 3))))))>
#<alt (* -1 (/ x B))>
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 B) (/ 1 (* B (pow x 2)))) x)) (/ 1 B))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (/ 1 B) (/ 1 (* B (pow x 3)))) (/ 1 (* B (pow x 2)))) x)) (/ 1 B))))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- (pow x 2) 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 3)))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1 (/ 1 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x)))))>
#<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 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 (/ (* 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 (* 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 (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 x)) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<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

90 calls:

TimeVariablePointExpression
5.0ms
B
@-inf
(/ 1 (sin B))
1.0ms
B
@0
(/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)
1.0ms
B
@inf
(/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)
0.0ms
x
@inf
(/ (* (- 1 (* x x)) (/ 1 x)) B)
0.0ms
x
@0
(/ (- 0 x) B)

rewrite362.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
3648×/-lowering-/.f32
3648×/-lowering-/.f64
3392×*-lowering-*.f32
3392×*-lowering-*.f64
1716×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030128
1200119
21881112
08219112
Stop Event
iter limit
node limit
Counts
21 → 772
Calls
Call 1
Inputs
(* (/ 1 (sin B)) (- 1 (* x (cos B))))
(/ 1 (sin B))
(sin B)
(- 1 (* x (cos B)))
(/ (- 0 x) B)
(- 0 x)
(/ (* (- 1 (* x x)) (/ 1 x)) B)
(* (- 1 (* x x)) (/ 1 x))
(- 1 (* x x))
(* x x)
(/ (* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)) B)
(* (- 1 (* x x)) (/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x))
(+ (neg (* x (/ 1 (tan B)))) (/ 1 B))
(* x (/ 1 (tan B)))
(neg (* x (/ 1 (tan B))))
(/ 1 (tan B))
(* x (cos B))
(cos B)
(/ (+ -1 (/ 1 x)) x)
(/ (+ 1 (/ (+ -1 (/ 1 x)) x)) x)
(tan B)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B)))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64)))) (*.f64 (sin.f64 B) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cos.f64 B)) (+.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))))
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(pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x))) x)
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) x)
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64))))
(tan.f64 B)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (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 (-.f64 #s(literal 0 binary64) (tan.f64 B)) #s(literal -1 binary64))
(/.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))))
(pow.f64 (tan.f64 B) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64))
(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 (tan.f64 B) #s(literal 1 binary64))

simplify412.0ms (4.1%)

Algorithm
egg-herbie
Rules
4550×*-lowering-*.f32
4550×*-lowering-*.f64
3704×+-lowering-+.f64
3704×+-lowering-+.f32
1380×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03742884
111202688
236952648
080792648
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 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 (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 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 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* -1 (* x (cos B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos 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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (* B x))
(/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)
(/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)
(/ (+ (* -1 (/ (pow x 2) B)) (/ 1 B)) x)
(* -1 (/ x B))
(* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* x (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B (pow x 2))))))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ (- 1 (pow x 2)) (* B x))
(/ 1 x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
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 (* B (pow x 3)))
(/ (+ (* -1 (/ x B)) (/ 1 B)) (pow x 3))
(/ (+ (* x (- (/ (pow x 2) B) (/ 1 B))) (/ 1 B)) (pow x 3))
(/ (+ (* x (- (* (pow x 2) (+ (* -1 (/ x B)) (/ 1 B))) (/ 1 B))) (/ 1 B)) (pow x 3))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (+ (/ 1 B) (/ 1 (* B (pow x 3))))))
(* x (- (+ (/ 1 (* B x)) (/ 1 (* B (pow x 4)))) (+ (/ 1 B) (/ 1 (* B (pow x 3))))))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 B) (/ 1 (* B (pow x 2)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (- (+ (/ 1 B) (/ 1 (* B (pow x 3)))) (/ 1 (* B (pow x 2)))) x)) (/ 1 B))))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ (* (- 1 (pow x 2)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (* B x))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* x (- (pow x 2) 1))) (pow x 3))
(/ (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1))) (pow x 3))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 3)))))
(* x (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1 (/ 1 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x)))))
(/ 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 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)))
(/ (* 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))
(* 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 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* x (- x 1))) (pow x 3))
(/ (+ 1 (* x (- x 1))) (pow x 3))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
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 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))))) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (+.f64 (*.f64 B (*.f64 B (+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 B (*.f64 B (+.f64 (-.f64 (*.f64 x #s(literal 1/720 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/5040 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/120 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal -1/24 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 (* x (cos B))) (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) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B 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 B (*.f64 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 B (*.f64 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 B (*.f64 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 B (*.f64 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)
(+ 1 (* -1 (* x (cos B))))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(+ 1 (* -1 (* x (cos 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)) (/ 1 (* B x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* B x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (*.f64 x B))) (-.f64 #s(literal 0 binary64) x))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/ (- (+ 1 (* (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 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) 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)
(/.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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (-.f64 #s(literal 0 binary64) (sin.f64 B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) 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 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (/ 1 B) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) 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))
(/ (* 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)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)
(/ (+ 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 #s(literal 1/45 binary64) (*.f64 B B))))))) 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 B (*.f64 B (-.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B (*.f64 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))
(* -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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(/ (- (* (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 #s(literal 1/45 binary64) (*.f64 B B))))) 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)
(/.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)
(* -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 (/ (* 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 (/ (* 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 (/ (* 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 (*.f64 B B) #s(literal -1/45 binary64))))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) 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))
(/ (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))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
x
(+ x (* -1/2 (* (pow B 2) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+.f64 x (*.f64 B (*.f64 B (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) #s(literal 1/24 binary64)))))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(+.f64 x (*.f64 (*.f64 B B) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 B (*.f64 B (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 B B) #s(literal -1/720 binary64)))))))))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (cos.f64 B))
(* x (cos B))
(*.f64 x (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 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/ (+ 1 (* x (- x 1))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* x (- x 1))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
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 (*.f64 B 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))

eval192.0ms (1.9%)

Compiler

Compiled 23774 to 3017 computations (87.3% saved)

prune253.0ms (2.5%)

Pruning

62 alts after pruning (55 fresh and 7 done)

PrunedKeptTotal
New1186261212
Fresh62935
Picked415
Done066
Total1196621258
Accuracy
100.0%
Counts
1258 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
25.1%
(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))
99.6%
(/.f64 (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (sin.f64 B)) (/.f64 (tan.f64 B) x))
14.5%
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
11.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B B)))))
34.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
3.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
2.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
48.8%
(/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
52.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
2.4%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
2.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (sin.f64 B) x))
99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) x)))
19.0%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
41.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
81.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
43.1%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) B) x) (*.f64 x B))
52.6%
(/.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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
52.7%
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
26.6%
(/.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)
26.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
53.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
26.7%
(/.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)
26.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
25.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
26.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)) B)
25.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) B)
26.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
26.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
32.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
32.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
26.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
25.9%
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
26.4%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
28.1%
(/.f64 (neg.f64 x) B)
28.4%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
2.7%
(/.f64 #s(literal 1 binary64) (*.f64 x B))
26.7%
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
26.8%
(/.f64 #s(literal 1 binary64) (*.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))))))))
54.6%
(/.f64 #s(literal 1 binary64) (sin.f64 B))
27.0%
(/.f64 #s(literal 1 binary64) B)
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
72.1%
(-.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
27.7%
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
52.7%
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
30.7%
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B))
52.9%
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
72.0%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) (/.f64 #s(literal 1 binary64) B))
53.0%
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
52.5%
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 binary64) B))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
28.4%
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
28.1%
(*.f64 x (/.f64 #s(literal -1 binary64) B))
88.3%
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
38.6%
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))
Compiler

Compiled 2289 to 979 computations (57.2% saved)

regimes99.0ms (1%)

Counts
93 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) (/.f64 #s(literal 1 binary64) B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) B) x) (*.f64 x B))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (*.f64 x (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(-.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)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (sin.f64 B) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 B))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (tan.f64 B) (sin.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 (/.f64 (tan.f64 B) x) (sin.f64 B)) (sin.f64 B)) (/.f64 (tan.f64 B) x))
(/.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
Calls

3 calls:

38.0ms
B
29.0ms
x
23.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
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)

regimes53.0ms (0.5%)

Counts
71 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) (/.f64 #s(literal 1 binary64) B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) B) x) (*.f64 x B))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) 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)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

2 calls:

23.0ms
x
23.0ms
B
Results
AccuracySegmentsBranch
99.8%1B
99.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes49.0ms (0.5%)

Counts
69 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x) (/.f64 #s(literal 1 binary64) B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) B) x) (*.f64 x B))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))
Calls

2 calls:

22.0ms
x
20.0ms
B
Results
AccuracySegmentsBranch
81.7%1B
99.4%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts
63 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
81.7%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.4%)

Counts
62 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
Outputs
(/.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)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
Calls

2 calls:

20.0ms
x
16.0ms
B
Results
AccuracySegmentsBranch
80.6%2B
80.5%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) B) (*.f64 B (/.f64 B x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) B)
(+.f64 (*.f64 (/.f64 x B) (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)
(/.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 #s(literal 0 binary64) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 #s(literal 0 binary64) (/.f64 x B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/3 binary64)))) B)) (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.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))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) B)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) B)
(/.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) (-.f64 #s(literal 1 binary64) x)) B)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 B B))))) x) B) (/.f64 #s(literal 1 binary64) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 B B) #s(literal 31/15120 binary64)))))))) 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)
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x B) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) B) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x B))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)) B)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (*.f64 B 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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 B x) (/.f64 x B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) #s(literal -2/945 binary64))))))) B))) (/.f64 #s(literal 1 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)))))))) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 B (*.f64 B B))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) B) (+.f64 (/.f64 x (*.f64 B (/.f64 B x))) (/.f64 x (*.f64 B 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)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
Calls

2 calls:

22.0ms
x
18.0ms
B
Results
AccuracySegmentsBranch
53.0%1x
53.0%1B
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (/.f64 #s(literal 1 binary64) x) B)
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 B x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) B)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal 1/6 binary64))) B)
(/.f64 (-.f64 B (*.f64 x B)) (*.f64 B B))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x B)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(literal 1 binary64) (*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 B B) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
Calls

2 calls:

11.0ms
x
7.0ms
B
Results
AccuracySegmentsBranch
52.9%1x
52.9%1B
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 #s(literal 0 binary64) x) B)
Outputs
(/.f64 (neg.f64 x) B)
(/.f64 #s(literal 1 binary64) B)
(/.f64 (neg.f64 x) B)
Calls

2 calls:

2.0ms
B
2.0ms
x
Results
AccuracySegmentsBranch
52.0%3x
31.1%2B
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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

2 calls:

1.0ms
B
1.0ms
x
Results
AccuracySegmentsBranch
27.0%1B
27.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
2.568835612499619e-16
0.015514509783407193
23.0ms
-5.483393954761505e+19
-7687812007.99857
Results
56.0ms320×0valid
Compiler

Compiled 419 to 314 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 23.0ms (49.2% of total)
ival-tan: 7.0ms (15% of total)
ival-sin: 7.0ms (15% of total)
ival-div: 5.0ms (10.7% of total)
ival-mult: 3.0ms (6.4% of total)
ival-neg: 2.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
982450.0135436916
7773685.359856948
Results
13.0ms96×0valid
Compiler

Compiled 289 to 206 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-tan: 3.0ms (30% of total)
ival-sin: 3.0ms (30% of total)
ival-div: 2.0ms (20% of total)
ival-mult: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
0.015514509783407193
23725.25701839236
33.0ms
-7687812007.99857
-0.05910266735134366
Results
49.0ms304×0valid
Compiler

Compiled 266 to 204 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 20.0ms (50% of total)
ival-tan: 7.0ms (17.5% of total)
ival-sin: 6.0ms (15% of total)
ival-mult: 3.0ms (7.5% of total)
ival-add: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
38×+-commutative_binary64
36×*-commutative_binary64
22×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060127
1100127
2122127
3135127
4144127
5147127
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x #s(literal -7800000000 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 1116892707587883/72057594037927936 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(if (<=.f64 B #s(literal 1000000 binary64)) (/.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) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) B) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 (neg.f64 x) B)))
(/.f64 #s(literal 1 binary64) B)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x #s(literal -7800000000 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 1116892707587883/72057594037927936 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B))
(if (<=.f64 B #s(literal 1000000 binary64)) (/.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) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) B) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 (neg.f64 x) B)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) B) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 #s(literal 0 binary64) x) B)))
(/.f64 #s(literal 1 binary64) B)

soundness2.3s (23.2%)

Rules
4830×+-lowering-+.f64
4830×+-lowering-+.f32
4550×*-lowering-*.f32
4550×*-lowering-*.f64
4270×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03742884
111202688
236952648
080792648
01988
114173
2139572
0840972
03872824
112512642
247052580
084922580
030128
1200119
21881112
08219112
02502010
17271827
221921820
360381809
081461809
01239
17639
277739
0834939
01691536
15151458
219251436
374421436
081541436
0108
1268
2578
3998
41848
53648
64968
76078
89768
910908
1011288
1111368
011368
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 380 to 233 computations (38.7% saved)

preprocess73.0ms (0.7%)

Remove

(negabs B)

Compiler

Compiled 354 to 174 computations (50.8% saved)

end0.0ms (0%)

Profiling

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