sintan (problem 3.4.5)

Time bar (total: 16.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze700.0ms (4.2%)

Memory
33.6MiB live, 404.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.9%50.1%0%0%0%0
0%0%49.9%50.1%0%0%0%1
0%0%49.9%50.1%0%0%0%2
0%0%49.9%50.1%0%0%0%3
0%0%49.9%50.1%0%0%0%4
0%0%49.9%50.1%0%0%0%5
0%0%49.9%50.1%0%0%0%6
0%0%49.9%50.1%0%0%0%7
0%0%49.9%50.1%0%0%0%8
0%0%49.9%50.1%0%0%0%9
0%0%49.9%50.1%0%0%0%10
0%0%49.9%50.1%0%0%0%11
0%0%49.9%50.1%0%0%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.2s (55.1%)

Memory
125.2MiB live, 8 974.7MiB allocated
Samples
6.3s4 528×2valid
1.7s1 301×3valid
700.0ms2 385×1valid
4.0ms42×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.3s
ival-tan: 4.6s (55.3% of total)
ival-sin: 2.3s (27.7% of total)
adjust: 628.0ms (7.5% of total)
ival-sub: 341.0ms (4.1% of total)
const: 276.0ms (3.3% of total)
ival-div: 111.0ms (1.3% of total)
ival-<=: 47.0ms (0.6% of total)
ival-and: 12.0ms (0.1% of total)
ival-assert: 3.0ms (0% of total)
Bogosity

explain616.0ms (3.7%)

Memory
-40.3MiB live, 568.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1720-2(9.319660750629743e-105)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
860-1(-0.2467553408172756)(-.f64 eps (tan.f64 eps))
850-0-(-.f64 eps (sin.f64 eps))
00-0-(tan.f64 eps)
00-0-eps
00-0-(sin.f64 eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))u/u1700
(-.f64 eps (sin.f64 eps))underflow170
(-.f64 eps (tan.f64 eps))underflow170
-.f64(-.f64 eps (sin.f64 eps))cancellation851
-.f64(-.f64 eps (tan.f64 eps))cancellation851
Confusion
Predicted +Predicted -
+2551
-00
Precision
1.0
Recall
0.99609375
Confusion?
Predicted +Predicted MaybePredicted -
+25510
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1170
285
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
401.0ms284×2valid
112.0ms74×3valid
24.0ms148×1valid
0.0ms0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 500.0ms
ival-tan: 254.0ms (50.8% of total)
ival-sin: 194.0ms (38.8% of total)
adjust: 31.0ms (6.2% of total)
ival-sub: 14.0ms (2.8% of total)
ival-div: 6.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess300.0ms (1.8%)

Memory
25.1MiB live, 204.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
12227
23927
36227
410227
519927
642127
7110627
8301327
069
0119
1179
2209
3259
4349
5569
6969
71959
84669
98009
1014779
1125699
1230789
1334579
1437429
1538699
1638969
1738999
1839029
1939149
2039179
2139209
2239239
2339269
2439299
2539329
2639359
2775339
080789
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify309.0ms (1.8%)

Memory
9.7MiB live, 207.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 eps (tan.f64 eps))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01122
11722
22022
32522
43422
55622
69622
719522
846622
980022
10147722
11256922
12307822
13345722
14374222
15386922
16389622
17389922
18390222
19391422
20391722
21392022
22392322
23392622
24392922
25393222
26393522
27753322
0807822
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize226.0ms (1.3%)

Memory
-19.5MiB live, 323.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 eps)
accuracy18.941912067787207
(-.f64 eps (tan.f64 eps))
accuracy18.949603148585084
(-.f64 eps (sin.f64 eps))
accuracy42.38044362600262
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Samples
164.0ms142×2valid
35.0ms37×3valid
12.0ms74×1valid
0.0ms0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-tan: 97.0ms (49.2% of total)
ival-sin: 51.0ms (25.9% of total)
adjust: 37.0ms (18.8% of total)
ival-sub: 9.0ms (4.6% of total)
ival-div: 3.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
4 → 28
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))
1.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))
1.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)))

simplify192.0ms (1.1%)

Memory
9.2MiB live, 150.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148475
1428433
21443405
37531405
08354389
Stop Event
iter limit
node limit
Counts
28 → 27
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64))) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) eps) eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) eps) eps) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(sin eps)
(sin.f64 eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))

rewrite239.0ms (1.4%)

Memory
0.8MiB live, 144.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01119
14519
233419
3381719
0850819
Stop Event
iter limit
node limit
iter limit
Counts
4 → 172
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
Outputs
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(*.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(*.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))))
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))) (neg.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 (-.f64 eps (tan.f64 eps)))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (sin.f64 eps))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (neg.f64 eps) (neg.f64 (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 eps) eps) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps))
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(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps))))
(fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(-.f64 eps (sin.f64 eps))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(sin.f64 eps)
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (tan.f64 eps) eps)))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))
(fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))

eval35.0ms (0.2%)

Memory
-25.3MiB live, 19.4MiB allocated
Compiler

Compiled 5 951 to 686 computations (88.5% saved)

prune7.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1888196
Fresh000
Picked011
Done000
Total1889197
Accuracy
100.0%
Counts
197 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
3.2%
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
2.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.7%
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
1.8%
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
99.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
98.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 379 to 222 computations (41.4% saved)

simplify285.0ms (1.7%)

Memory
-20.6MiB live, 167.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 eps)
cost-diff0
(+.f64 (tan.f64 eps) eps)
cost-diff0
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
cost-diff20
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
cost-diff0
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
cost-diff0
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047372
079372
1148361
2388353
31175352
43836352
08236352
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
#s(literal 27/2800 binary64)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(neg.f64 eps)
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) eps)
(cos.f64 eps)
#s(literal 1 binary64)
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 eps eps)
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(sin.f64 eps)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
#s(literal 27/2800 binary64)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 eps eps)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(neg.f64 eps)
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) eps)
(cos.f64 eps)
#s(literal 1 binary64)
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 eps eps)
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(sin.f64 eps)

localize676.0ms (4%)

Memory
17.0MiB live, 630.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy2.124794422465883
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
accuracy12.390101086539174
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
accuracy38.801143255848
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
accuracy61.61611953341748
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
accuracy0.0625
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
accuracy18.949603148585084
(-.f64 eps (sin.f64 eps))
accuracy30.162825807850258
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
accuracy42.38044362600262
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
accuracy0.0
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 eps eps)
accuracy0.15234375
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy0.17624423827770025
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy0.7345000769204173
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy0.015625
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
accuracy0.07475013616258476
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy0.140625
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
accuracy0.15234375
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
Samples
563.0ms179×2valid
61.0ms76×1valid
0.0ms0valid
Compiler

Compiled 321 to 45 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 522.0ms
ival-tan: 200.0ms (38.3% of total)
ival-sin: 73.0ms (14% of total)
adjust: 70.0ms (13.4% of total)
ival-div: 47.0ms (9% of total)
ival-cos: 31.0ms (5.9% of total)
ival-mult: 29.0ms (5.6% of total)
ival-pow: 22.0ms (4.2% of total)
ival-sub: 17.0ms (3.3% of total)
const: 16.0ms (3.1% of total)
ival-add: 13.0ms (2.5% of total)
ival-neg: 4.0ms (0.8% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
23.9MiB live, 61.4MiB allocated
Counts
24 → 100
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 eps eps)
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(pow eps 4)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (pow eps 2)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 2 eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* 9/40 (pow eps 2))
(* 27/112000 (pow eps 2))
(pow eps 2)
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(/ -1 (pow eps 4))
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4))
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4))
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(/ (sin eps) (cos eps))
-1
(- (/ (sin eps) (* eps (cos eps))) 1)
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps)
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(/ 1 (pow eps 2))
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2))
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow eps 2))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3))))
7.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3))))
5.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3))))

simplify185.0ms (1.1%)

Memory
4.4MiB live, 193.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04351706
113471603
249291566
081751523
Stop Event
iter limit
node limit
Counts
100 → 99
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(pow eps 4)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (pow eps 2)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 2 eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* 9/40 (pow eps 2))
(* 27/112000 (pow eps 2))
(pow eps 2)
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(/ -1 (pow eps 4))
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4))
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4))
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(/ (sin eps) (cos eps))
-1
(- (/ (sin eps) (* eps (cos eps))) 1)
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps)
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(/ 1 (pow eps 2))
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2))
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow eps 2))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps))) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps))) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 3 (pow eps 2))
(*.f64 #s(literal 3 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 3 (pow eps 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(*.f64 (fma.f64 eps eps (fma.f64 #s(literal 23/45 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64))) (*.f64 eps eps))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(*.f64 (fma.f64 eps eps (fma.f64 (fma.f64 #s(literal 79/315 binary64) (*.f64 eps eps) #s(literal 23/45 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64))) (*.f64 eps eps))
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 2))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))
(fma.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps)
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (*.f64 eps eps) #s(literal 17/315 binary64)) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps)
(/ 3 (pow eps 2))
(/.f64 #s(literal 3 binary64) (*.f64 eps eps))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal -17/10 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 307/1400 binary64) (*.f64 eps eps)) #s(literal 17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1247/126000 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 307/1400 binary64) (*.f64 eps eps))) #s(literal 17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(* -1 (pow eps 5))
(neg.f64 (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal -11/15 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -88/189 binary64) (*.f64 eps eps)) #s(literal 11/15 binary64)) eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1282/4725 binary64) (*.f64 eps eps)) #s(literal 88/189 binary64)) eps) eps) #s(literal 11/15 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(/ -1 (pow eps 4))
(/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4))
(/.f64 (-.f64 (*.f64 #s(literal 11/15 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4))
(/.f64 (-.f64 (fma.f64 #s(literal -341/4725 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 11/15 binary64) (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1219/70875 binary64) (*.f64 eps eps)) #s(literal 341/4725 binary64)) (*.f64 eps eps) #s(literal 11/15 binary64)) eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (neg.f64 (cos.f64 eps))))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps)
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(sin eps)
(sin.f64 eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(+.f64 (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))
(+.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))))
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps eps) eps)
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) eps) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
-1
#s(literal -1 binary64)
(- (/ (sin eps) (* eps (cos eps))) 1)
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(* -1 (/ (sin eps) eps))
(/.f64 (sin.f64 eps) (neg.f64 eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (neg.f64 eps))
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) eps)
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 eps) eps) #s(literal 3 binary64)))) eps)
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/ 1 (pow eps 2))
(/.f64 #s(literal 1 binary64) (*.f64 eps eps))
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) eps)
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (*.f64 eps eps))
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow eps 2))
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))))) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (*.f64 eps eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps)) eps))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))) eps)) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) eps) #s(literal 1 binary64)) (*.f64 eps eps))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (neg.f64 eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) eps)
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(/.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (neg.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps)) (neg.f64 eps))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 6 binary64))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)))) (*.f64 eps eps))

rewrite580.0ms (3.5%)

Memory
-61.5MiB live, 335.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047288
079288
1303238
22437238
08274238
Stop Event
iter limit
node limit
iter limit
Counts
24 → 526
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 eps eps)
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))))
(/.f64 (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(/.f64 (neg.f64 eps) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(neg.f64 (/.f64 eps (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))

eval136.0ms (0.8%)

Memory
21.0MiB live, 210.2MiB allocated
Compiler

Compiled 45 971 to 3 302 computations (92.8% saved)

prune27.0ms (0.2%)

Memory
5.8MiB live, 42.1MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9495954
Fresh033
Picked415
Done011
Total95310963
Accuracy
100.0%
Counts
963 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
3.2%
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
2.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.7%
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
1.8%
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
99.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
98.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 414 to 244 computations (41.1% saved)

simplify159.0ms (0.9%)

Memory
-29.4MiB live, 113.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
cost-diff0
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps)
cost-diff0
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
cost-diff11
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
cost-diff4
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
cost-diff1
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
cost-diff0
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
cost-diff0
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050438
087436
1163414
2376414
31101408
43442402
08108402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal 27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(neg.f64 eps)
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) eps)
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps)
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 eps eps)
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(sin.f64 eps)
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal 27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 eps)
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) eps)
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps)))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps)
(fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) eps) (tan.f64 eps) (pow.f64 eps #s(literal 3 binary64)))
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(+.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(*.f64 eps eps)
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))

localize593.0ms (3.5%)

Memory
23.7MiB live, 451.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
accuracy12.390101086539174
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
accuracy12.493187920695286
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
accuracy49.07207006984976
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
accuracy0.00390625
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
accuracy18.949603148585084
(-.f64 eps (sin.f64 eps))
accuracy18.979072226362945
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
accuracy42.38044362600262
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
accuracy0.07475013616258476
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
accuracy0.10546875
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
accuracy0.140625
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
accuracy0.15234375
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
accuracy0.0
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 eps eps)
accuracy0.15234375
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy0.32212286825304204
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
accuracy0.07475013616258476
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
accuracy0.125
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy0.140625
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
accuracy0.19140625
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
Samples
334.0ms139×2valid
96.0ms42×3valid
90.0ms73×1valid
1.0ms0valid
Compiler

Compiled 381 to 47 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 422.0ms
adjust: 92.0ms (21.8% of total)
ival-tan: 90.0ms (21.3% of total)
ival-sin: 53.0ms (12.6% of total)
ival-mult: 42.0ms (10% of total)
ival-add: 33.0ms (7.8% of total)
ival-cos: 31.0ms (7.4% of total)
ival-sub: 26.0ms (6.2% of total)
ival-pow: 22.0ms (5.2% of total)
const: 16.0ms (3.8% of total)
ival-div: 15.0ms (3.6% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
25 → 96
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps)
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(pow eps 2)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* 17/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* 1171/15120 (pow eps 2))))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* (pow eps 2) (+ 1171/15120 (* 22819/604800 (pow eps 2))))))))
(* 3 (pow eps 3))
(* (pow eps 3) (+ 3 (pow eps 2)))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (pow eps 2)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 27/112000 (pow eps 2))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
1
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(* (pow eps 3) (+ 3 (* 1/2 (pow eps 2))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* 133/360 (pow eps 2))))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 133/360 (* 2621/15120 (pow eps 2))))))))
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(pow eps 3)
(* (pow eps 3) (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(* (pow eps 3) (- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))
(- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 3) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(/ (sin eps) (* eps (cos eps)))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(* (pow eps 2) (sin eps))
(* (pow eps 2) (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps))) eps)))
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))))
4.0ms
eps
@inf
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))))
2.0ms
eps
@0
((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))))

simplify174.0ms (1%)

Memory
-25.9MiB live, 158.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03891717
112641624
245941577
088591529
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(pow eps 2)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* 17/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* 1171/15120 (pow eps 2))))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* (pow eps 2) (+ 1171/15120 (* 22819/604800 (pow eps 2))))))))
(* 3 (pow eps 3))
(* (pow eps 3) (+ 3 (pow eps 2)))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 3 (pow eps 2))
(* (pow eps 2) (+ 3 (pow eps 2)))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(* 27/112000 (pow eps 2))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
1
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(* (pow eps 3) (+ 3 (* 1/2 (pow eps 2))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* 133/360 (pow eps 2))))))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 133/360 (* 2621/15120 (pow eps 2))))))))
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(pow eps 3)
(* (pow eps 3) (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(* (pow eps 3) (- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))
(- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))))
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 3) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(/ (sin eps) (* eps (cos eps)))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(* (pow eps 2) (sin eps))
(* (pow eps 2) (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps))) eps)))
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(pow eps 2)
(*.f64 eps eps)
(* -1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) eps) eps) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) eps) eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/362880 binary64)) #s(literal 1/120 binary64))) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) eps) eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)) eps)
(* 1/2 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1/2 binary64))
(* (pow eps 5) (+ 1/2 (* 17/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal 17/120 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* 1171/15120 (pow eps 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1171/15120 binary64) (*.f64 eps eps) #s(literal 17/120 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* (pow eps 2) (+ 1171/15120 (* 22819/604800 (pow eps 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 22819/604800 binary64) (*.f64 eps eps) #s(literal 1171/15120 binary64)) (*.f64 eps eps) #s(literal 17/120 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* 3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64))
(* (pow eps 3) (+ 3 (pow eps 2)))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(*.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 23/45 binary64) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(*.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 79/315 binary64) (*.f64 eps eps) #s(literal 23/45 binary64)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* 3 (pow eps 2))
(*.f64 #s(literal 3 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 3 (pow eps 2)))
(*.f64 (*.f64 (fma.f64 eps eps #s(literal 3 binary64)) eps) eps)
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2))))))
(*.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 23/45 binary64) #s(literal 3 binary64))) (*.f64 eps eps))
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2))))))))
(*.f64 (fma.f64 eps eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 79/315 binary64) (*.f64 eps eps) #s(literal 23/45 binary64)) #s(literal 3 binary64))) (*.f64 eps eps))
(* 27/112000 (pow eps 2))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
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(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(*.f64 eps (fma.f64 eps (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) eps) eps))
(/ (sin eps) (* eps (cos eps)))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
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(* (pow eps 2) (sin eps))
(*.f64 (*.f64 (sin.f64 eps) eps) eps)
(* (pow eps 2) (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (sin.f64 eps)) (*.f64 eps eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
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(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
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(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
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(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
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(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)))
(+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)) eps))
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(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1)))
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(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))))
(*.f64 eps (fma.f64 eps (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) eps) eps))
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(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (sin.f64 eps)) (*.f64 eps eps))

rewrite184.0ms (1.1%)

Memory
26.0MiB live, 213.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050331
087331
1358309
22603309
08311307
Stop Event
iter limit
node limit
iter limit
Counts
25 → 525
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps)
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))
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(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
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(fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps) (*.f64 (*.f64 (sin.f64 eps) eps) eps))
(fma.f64 (+.f64 (tan.f64 eps) eps) (*.f64 (tan.f64 eps) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))
(fma.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 eps) eps) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))
(fma.f64 (sin.f64 eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))
(fma.f64 (sin.f64 eps) (*.f64 eps eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 eps)) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)))
(fma.f64 (*.f64 eps eps) (sin.f64 eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)))
(fma.f64 eps (*.f64 (sin.f64 eps) eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)))
(-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (neg.f64 eps) eps) (sin.f64 eps)))
(-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))

eval95.0ms (0.6%)

Memory
-19.0MiB live, 128.8MiB allocated
Compiler

Compiled 36 268 to 3 138 computations (91.3% saved)

prune14.0ms (0.1%)

Memory
37.6MiB live, 37.6MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7323735
Fresh123
Picked235
Done022
Total73510745
Accuracy
100.0%
Counts
745 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
3.2%
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
2.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.7%
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
1.8%
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
99.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
98.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 366 to 220 computations (39.9% saved)

simplify119.0ms (0.7%)

Memory
-14.8MiB live, 84.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 eps (+.f64 (sin.f64 eps) eps))
cost-diff0
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)))
cost-diff0
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
cost-diff5
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
cost-diff0
(sin.f64 eps)
cost-diff0
(-.f64 eps (sin.f64 eps))
cost-diff0
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
cost-diff4
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
cost-diff0
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
cost-diff0
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
cost-diff0
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
cost-diff0
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
cost-diff0
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
cost-diff0
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
cost-diff1
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))
cost-diff4
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058481
097481
1167473
2359473
3997459
42238445
53049443
64461443
76726443
08118437
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
#s(literal 1 binary64)
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(neg.f64 eps)
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))
(*.f64 (cos.f64 eps) eps)
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)))
eps
(/.f64 eps (+.f64 (sin.f64 eps) eps))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal 9/40 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps)
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))
#s(literal 27/112000 binary64)
#s(literal 27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
#s(literal 1 binary64)
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
eps
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 eps)
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps))
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))
(*.f64 (cos.f64 eps) eps)
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (sin.f64 eps) eps))
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)))
(*.f64 (/.f64 eps (+.f64 (sin.f64 eps) eps)) eps)
eps
(/.f64 eps (+.f64 (sin.f64 eps) eps))
(+.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize554.0ms (3.3%)

Memory
21.2MiB live, 296.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy18.941912067787207
(-.f64 eps (tan.f64 eps))
accuracy18.972674934466667
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
accuracy28.458755603320554
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
accuracy42.132069454305345
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
accuracy0.00390625
(*.f64 (cos.f64 eps) eps)
accuracy18.949603148585084
(-.f64 eps (sin.f64 eps))
accuracy18.979072226362945
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
accuracy42.132069454305345
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
accuracy0.06640625
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
accuracy18.941912067787207
(-.f64 eps (tan.f64 eps))
accuracy30.13061287097849
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
accuracy42.132069454305345
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
accuracy0.07475013616258476
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
accuracy0.125
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
accuracy0.1875
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
accuracy0.26813759303171836
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
accuracy0.140625
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
accuracy0.15234375
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
accuracy0.16015625
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
accuracy0.40625
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
Samples
312.0ms139×2valid
95.0ms73×1valid
88.0ms41×3valid
5.0ms5exit
1.0ms0valid
Compiler

Compiled 364 to 50 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 445.0ms
adjust: 96.0ms (21.6% of total)
ival-tan: 88.0ms (19.8% of total)
ival-sin: 51.0ms (11.5% of total)
ival-mult: 45.0ms (10.1% of total)
ival-div: 34.0ms (7.6% of total)
ival-cos: 31.0ms (7% of total)
ival-add: 30.0ms (6.7% of total)
ival-sub: 24.0ms (5.4% of total)
ival-pow2: 23.0ms (5.2% of total)
const: 21.0ms (4.7% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory
-19.7MiB live, 24.6MiB allocated
Counts
27 → 99
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)))
(/.f64 eps (+.f64 (sin.f64 eps) eps))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(-.f64 eps (tan.f64 eps))
(*.f64 (cos.f64 eps) eps)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
Outputs
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/24 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))))
1/2
(+ 1/2 (* 1/24 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 2))
(* eps (+ 1 (* -1/2 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* eps (+ 1/2 (* -1/8 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(+ 1 (* -1 (/ (sin eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(sin eps)
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))))
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* eps (cos eps))
(/ (pow (sin eps) 2) eps)
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps)))
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (sin eps)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
eps
@0
((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)))
6.0ms
eps
@-inf
((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)))
5.0ms
eps
@inf
((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) 1/2) (* (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps)))

simplify147.0ms (0.9%)

Memory
7.8MiB live, 189.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03801591
112001453
239941423
082711372
Stop Event
iter limit
node limit
Counts
99 → 98
Calls
Call 1
Inputs
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/24 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))))
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))))
1/2
(+ 1/2 (* 1/24 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 2))
(* eps (+ 1 (* -1/2 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* eps (+ 1/2 (* -1/8 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(+ 1 (* -1 (/ (sin eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(sin eps)
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))))
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* eps (cos eps))
(/ (pow (sin eps) 2) eps)
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps)))
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (sin eps)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps))
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps))
Outputs
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(* 9/40 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps)
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(* 1/6 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/6 (pow eps 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))
(* -1/3 (pow eps 3))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(*.f64 (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) eps) eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) eps) eps) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* 1/24 (pow eps 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps eps) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow eps 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps eps) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(* -27/2800 eps)
(*.f64 #s(literal -27/2800 binary64) eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
(* -27/2800 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
(* 27/112000 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(* eps (+ 1 (* -1/2 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
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(* eps (+ 1/2 (* -1/8 (pow eps 2))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
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(* 27/112000 (pow eps 6))
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(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
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1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)
(sin eps)
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(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))
(fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps) eps eps)
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps) (sin.f64 eps)) eps) eps eps)
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps))
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(* 27/112000 (pow eps 3))
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(* 27/112000 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))
(* -27/2800 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* eps (cos eps))
(*.f64 (cos.f64 eps) eps)
(/ (pow (sin eps) 2) eps)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps)
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)
(/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps)) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) eps)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 eps)))) eps)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))) eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
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(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64)) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64)) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 eps))) eps)

rewrite205.0ms (1.2%)

Memory
-21.9MiB live, 271.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058380
097360
1345340
22290334
08583328
Stop Event
iter limit
node limit
iter limit
Counts
27 → 413
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps)
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps))
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)))
(/.f64 eps (+.f64 (sin.f64 eps) eps))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps)
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)
(-.f64 eps (tan.f64 eps))
(*.f64 (cos.f64 eps) eps)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps)
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps))
(*.f64 eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (neg.f64 eps)) (neg.f64 eps) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
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(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))
(-.f64 eps (tan.f64 eps))
(*.f64 (cos.f64 eps) eps)
(*.f64 eps (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (sin.f64 eps) eps))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))) (+.f64 (sin.f64 eps) eps)))

eval67.0ms (0.4%)

Memory
23.0MiB live, 111.4MiB allocated
Compiler

Compiled 22 104 to 2 544 computations (88.5% saved)

prune13.0ms (0.1%)

Memory
30.7MiB live, 30.7MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5591560
Fresh000
Picked055
Done055
Total55911570
Accuracy
100.0%
Counts
570 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
3.2%
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
2.5%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.7%
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
1.8%
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
1.8%
(*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
99.5%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
99.7%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
99.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
98.9%
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Compiler

Compiled 712 to 270 computations (62.1% saved)

regimes29.0ms (0.2%)

Memory
-42.6MiB live, 10.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
Calls

2 calls:

25.0ms
eps
4.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.9%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.7%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
Calls

2 calls:

1.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
99.5%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Calls

2 calls:

1.0ms
eps
1.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
98.9%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
98.9%1eps
Compiler

Compiled 10 to 7 computations (30% saved)

simplify58.0ms (0.3%)

Memory
-9.0MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03694
16094
212394
325894
450394
570894
682694
7111494
8210094
9772494
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

derivations430.0ms (2.6%)

Memory
5.5MiB live, 235.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04351706
113471603
249291566
081751523
0148475
1428433
21443405
37531405
08354389
03891717
112641624
245941577
088591529
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 94 to 39 computations (58.5% saved)

preprocess95.0ms (0.6%)

Memory
8.1MiB live, 51.5MiB allocated
Compiler

Compiled 220 to 102 computations (53.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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