Metrics for sintan (problem 3.4.5)

analyze400.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

Operation ival-sub, time spent: 51.0ms, 25.0% of total-time

Operation ival-sin, time spent: 44.0ms, 22.0% of total-time

Operation ival-<=, time spent: 43.0ms, 21.0% of total-time

Operation ival-tan, time spent: 36.0ms, 18.0% of total-time

Operation ival-div, time spent: 15.0ms, 7.0% of total-time

Operation const, time spent: 7.0ms, 3.0% of total-time

Operation ival-and, time spent: 6.0ms, 3.0% of total-time

sample11.6s (78.5%)

Results

9.0s	4092×	2048	valid
1.7s	2083×	1024	valid
280.0ms	1040×	512	valid
151.0ms	897×	256	valid
144.0ms	143×	4096	valid
1.0ms	1×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 10.1s

Operation ival-tan, time spent: 6.2s, 61.0% of total-time

Operation ival-sin, time spent: 2.7s, 26.0% of total-time

Operation ival-sub, time spent: 758.0ms, 7.0% of total-time

Operation ival-<=, time spent: 261.0ms, 3.0% of total-time

Operation ival-div, time spent: 188.0ms, 2.0% of total-time

Operation const, time spent: 40.0ms, 0.0% of total-time

Operation ival-and, time spent: 36.0ms, 0.0% of total-time

Bogosity

preprocess787.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-define`
316×	`fma-neg`
124×	`times-frac`
86×	`unsub-neg`
78×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
155	-	-	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
101	-	-	`(-.f64 eps (sin.f64 eps))`
101	-	-	`(-.f64 eps (tan.f64 eps))`
0	-	-	`(sin.f64 eps)`
0	-	-	`eps`
0	-	-	`(tan.f64 eps)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	42	164
2	94	156
3	266	156
4	572	156
5	888	156
6	1045	156
7	1083	156
8	1144	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))

Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (neg.f64 (-.f64 (neg.f64 eps) (neg.f64 (tan.f64 eps)))))
(/.f64 (fma.f64 -1 eps (sin.f64 eps)) (neg.f64 (fma.f64 -1 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))

Symmetry

(abs eps)

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 606.0ms

Operation ival-tan, time spent: 394.0ms, 65.0% of total-time

Operation ival-sin, time spent: 170.0ms, 28.0% of total-time

Operation ival-div, time spent: 20.0ms, 3.0% of total-time

Operation ival-sub, time spent: 20.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize482.0ms (3.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	64.1%	(-.f64 eps (tan.f64 eps))
✓	64.1%	(-.f64 eps (sin.f64 eps))
✓	39.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

Operation ival-tan, time spent: 163.0ms, 61.0% of total-time

Operation ival-sin, time spent: 83.0ms, 31.0% of total-time

Operation ival-div, time spent: 10.0ms, 4.0% of total-time

Operation ival-sub, time spent: 10.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 0.0% of total-time

series57.0ms (0.4%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (-.f64 eps (tan.f64 eps))>

Outputs
#<alt -1/2>
#<alt (-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)>
#<alt (-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)>
#<alt (-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))>
#<alt (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 eps (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) 2)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))>
#<alt (*.f64 1/6 (pow.f64 eps 3))>
#<alt (.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 -1/120 (pow.f64 eps 2))))>
#<alt (.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/5040 (pow.f64 eps 2)) 1/120))))>
#<alt (.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (+.f64 1/5040 (.f64 -1/362880 (pow.f64 eps 2)))) 1/120))))>
#<alt eps>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))>
#<alt eps>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))>
#<alt (*.f64 -1/3 (pow.f64 eps 3))>
#<alt (.f64 (pow.f64 eps 3) (-.f64 (.f64 -2/15 (pow.f64 eps 2)) 1/3))>
#<alt (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 -17/315 (pow.f64 eps 2)) 2/15)) 1/3))>
#<alt (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 -62/2835 (pow.f64 eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt (.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt eps>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))>
#<alt (.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))>

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	-inf	(- eps (tan eps))
0.0ms	eps	@	inf	(- eps (tan eps))

rewrite235.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`log1p-expm1-u`
1008×	`expm1-log1p-u`
894×	`log-prod`
678×	`fma-define`
356×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	156	73
2	2548	73

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(-.f64 eps (tan.f64 eps))

Outputs
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)))
(pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2)
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) -1)
(neg.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) (pow.f64 (-.f64 eps (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 1))
(fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 1 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) 1))
(fma.f64 eps 1 (neg.f64 (tan.f64 eps)))
(fma.f64 eps 1 (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(fma.f64 1 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 (neg.f64 (tan.f64 eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (cbrt.f64 (tan.f64 eps))) eps)
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (neg.f64 (sqrt.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(fma.f64 -1 (tan.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg`
626×	`distribute-lft-neg-in`
568×	`div-sub`
558×	`distribute-rgt-neg-in`
472×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	10275
1	1346	9840
2	4443	9694

Stop Event

1×	node limit

Counts

273 → 330

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 eps (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) 2)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(*.f64 1/6 (pow.f64 eps 3))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 -1/120 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/5040 (pow.f64 eps 2)) 1/120))))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (+.f64 1/5040 (.f64 -1/362880 (pow.f64 eps 2)))) 1/120))))
eps
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
eps
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(*.f64 -1/3 (pow.f64 eps 3))
(.f64 (pow.f64 eps 3) (-.f64 (.f64 -2/15 (pow.f64 eps 2)) 1/3))
(.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 -17/315 (pow.f64 eps 2)) 2/15)) 1/3))
(.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 -62/2835 (pow.f64 eps 2)) 17/315)) 2/15)) 1/3))
eps
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
eps
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) 1)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)))
(pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2)
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) -1)
(neg.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) (pow.f64 (-.f64 eps (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 1))
(fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 1 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
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(log.f64 (/.f64 (exp.f64 eps) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (tan.f64 eps))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) 1))
(fma.f64 eps 1 (neg.f64 (tan.f64 eps)))
(fma.f64 eps 1 (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(fma.f64 1 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 (neg.f64 (tan.f64 eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (cbrt.f64 (tan.f64 eps))) eps)
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (neg.f64 (sqrt.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(fma.f64 -1 (tan.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)

Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(fma.f64 9/40 (pow.f64 eps 2) -1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
(fma.f64 (pow.f64 eps 2) (+.f64 9/40 (*.f64 (pow.f64 eps 2) -27/2800)) -1/2)
(fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40) -1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
(fma.f64 (pow.f64 eps 2) (+.f64 9/40 (*.f64 (pow.f64 eps 2) (fma.f64 27/112000 (pow.f64 eps 2) -27/2800))) -1/2)
(fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40) -1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))) (.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (/.f64 (.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(+.f64 1 (+.f64 (.f64 (sin.f64 eps) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (+.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (.f64 -1 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 eps)) (.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 3)) (/.f64 (.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)))) (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (.f64 (sin.f64 eps) (/.f64 (.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps 2) (cos.f64 eps))))))))
(+.f64 1 (-.f64 (-.f64 (.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) eps)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(+.f64 1 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 eps (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (-.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 eps (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)))
(-.f64 1 (/.f64 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) 2)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)))
(-.f64 1 (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 eps (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (pow.f64 (cos.f64 eps) 2))) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(*.f64 1/6 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) 1/6)
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 -1/120 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) -1/120)))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) -1/120 1/6))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/5040 (pow.f64 eps 2)) 1/120))))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (fma.f64 1/5040 (pow.f64 eps 2) -1/120))))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 1/5040 -1/120) 1/6))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (+.f64 1/5040 (.f64 -1/362880 (pow.f64 eps 2)))) 1/120))))
(.f64 (pow.f64 eps 3) (+.f64 1/6 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (+.f64 1/5040 (*.f64 (pow.f64 eps 2) -1/362880)) -1/120))))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -1/362880 1/5040) -1/120) 1/6))
eps
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
(.f64 eps (+.f64 1 (.f64 -1 (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
eps
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
(.f64 -1 (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) 1)))
(*.f64 eps (+.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 1 (/.f64 (sin.f64 eps) eps)))
(*.f64 -1/3 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) -1/3)
(.f64 (pow.f64 eps 3) (-.f64 (.f64 -2/15 (pow.f64 eps 2)) 1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 -2/15 (pow.f64 eps 2) -1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) -2/15 -1/3))
(.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 -17/315 (pow.f64 eps 2)) 2/15)) 1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 -17/315 (pow.f64 eps 2) -2/15) -1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -17/315 -2/15) -1/3))
(.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 -62/2835 (pow.f64 eps 2)) 17/315)) 2/15)) 1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 -62/2835 (pow.f64 eps 2) -17/315) -2/15) -1/3))
(*.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -62/2835 -17/315) -2/15) -1/3))
eps
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eps
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(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 -1 (tan.f64 eps) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)
(-.f64 eps (tan.f64 eps))

eval73.0ms (0.5%)

Compiler: Compiled 6429 to 2016 computations (68.6% saved)

prune51.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	326	4	330
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	326	5	331

Accuracy

100.0%

Counts

331 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	100.0%	(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
▶	100.0%	(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
▶	99.9%	(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
▶	99.3%	-1/2

Compiler

Compiled 54 to 44 computations (18.5% saved)

localize237.0ms (1.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)
✓	99.8%	(*.f64 27/112000 (pow.f64 eps 2))
✓	99.7%	(.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800))))
✓	99.6%	(.f64 (pow.f64 eps 2) (-.f64 (.f64 27/112000 (pow.f64 eps 2)) 27/2800))
✓	100.0%	(+.f64 9/40 (*.f64 -27/2800 (pow.f64 eps 2)))
✓	99.7%	(.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2))))
✓	99.6%	(*.f64 -27/2800 (pow.f64 eps 2))
✓	99.8%	(*.f64 9/40 (pow.f64 eps 2))

Compiler

Compiled 147 to 121 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

Operation ival-pow, time spent: 39.0ms, 38.0% of total-time

Operation ival-mult, time spent: 34.0ms, 33.0% of total-time

Operation ival-sub, time spent: 12.0ms, 12.0% of total-time

Operation ival-add, time spent: 8.0ms, 8.0% of total-time

Operation const, time spent: 8.0ms, 8.0% of total-time

series14.0ms (0.1%)

Counts

8 → 46

Calls

Call 1

Inputs
#<alt (*.f64 9/40 (pow.f64 eps 2))>
#<alt (*.f64 -27/2800 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2))))>
#<alt (+.f64 9/40 (*.f64 -27/2800 (pow.f64 eps 2)))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 27/112000 (pow.f64 eps 2)) 27/2800))>
#<alt (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800))))>
#<alt (*.f64 27/112000 (pow.f64 eps 2))>
#<alt (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)>

Outputs
#<alt (*.f64 9/40 (pow.f64 eps 2))>
#<alt (*.f64 -27/2800 (pow.f64 eps 4))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (*.f64 -27/2800 (pow.f64 eps 4))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt 9/40>
#<alt (*.f64 -27/2800 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (*.f64 -27/2800 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))>
#<alt (*.f64 -27/2800 (pow.f64 eps 2))>
#<alt (*.f64 27/112000 (pow.f64 eps 4))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (*.f64 27/112000 (pow.f64 eps 4))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (*.f64 9/40 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2))))>
#<alt (*.f64 27/112000 (pow.f64 eps 6))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (*.f64 27/112000 (pow.f64 eps 6))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt -27/2800>
#<alt (*.f64 27/112000 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (*.f64 27/112000 (pow.f64 eps 2))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>
#<alt (.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))>

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
1.0ms	eps	@	0	(* 9/40 (pow eps 2))
1.0ms	eps	@	inf	(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
1.0ms	eps	@	inf	(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
0.0ms	eps	@	0	(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))

rewrite202.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`prod-diff`
844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
276×	`associate-r`
172×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	212
1	281	200
2	3902	200

Stop Event

1×	node limit

Counts

8 → 184

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 eps 2))
(*.f64 -27/2800 (pow.f64 eps 2))
(.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2))))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 eps 2)))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 27/112000 (pow.f64 eps 2)) 27/2800))
(.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800))))
(*.f64 27/112000 (pow.f64 eps 2))
(-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 9/40) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (pow.f64 eps 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -27/2800))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) -27/2800) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) -27/2800)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -27/2800)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 729/7840000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -27/2800))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) -27/2800))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) -27/2800)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) -27/2800)))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) -27/2800)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) -27/2800)) 1))
(+.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 -27/2800 (pow.f64 eps 4)))
(+.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 (*.f64 -27/2800 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 9/40 (pow.f64 eps 2)) 3) (pow.f64 (.f64 -27/2800 (pow.f64 eps 4)) 3)) (+.f64 (.f64 (pow.f64 eps 4) 81/1600) (-.f64 (.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 -27/2800 (pow.f64 eps 4))) (.f64 (.f64 9/40 (pow.f64 eps 2)) (*.f64 -27/2800 (pow.f64 eps 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) 81/1600) (.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 -27/2800 (pow.f64 eps 4)))) (-.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 -27/2800 (pow.f64 eps 4))))
(/.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000)) (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (.f64 -243/112000 (pow.f64 eps 2)))))
(/.f64 (.f64 (pow.f64 eps 2) (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000))) (+.f64 9/40 (*.f64 27/2800 (pow.f64 eps 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000) (pow.f64 eps 2)) (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (.f64 -243/112000 (pow.f64 eps 2)))))
(/.f64 (.f64 (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000)) (pow.f64 eps 2)) (+.f64 9/40 (*.f64 27/2800 (pow.f64 eps 2))))
(pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40))) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))) 1))
(fma.f64 9/40 (pow.f64 eps 2) (*.f64 -27/2800 (pow.f64 eps 4)))
(fma.f64 (pow.f64 eps 2) 9/40 (*.f64 -27/2800 (pow.f64 eps 4)))
(fma.f64 1 (.f64 9/40 (pow.f64 eps 2)) (.f64 -27/2800 (pow.f64 eps 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 81/1600)) (cbrt.f64 (.f64 9/40 (pow.f64 eps 2))) (*.f64 -27/2800 (pow.f64 eps 4)))
(fma.f64 (.f64 eps (sqrt.f64 9/40)) (.f64 eps (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 eps 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40))) 1)
(-.f64 (/.f64 81/1600 (+.f64 9/40 (.f64 27/2800 (pow.f64 eps 2)))) (/.f64 (.f64 (pow.f64 eps 4) 729/7840000) (+.f64 9/40 (*.f64 27/2800 (pow.f64 eps 2)))))
(*.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 1)
(*.f64 1 (fma.f64 (pow.f64 eps 2) -27/2800 9/40))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 2) (cbrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) (sqrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000) (/.f64 1 (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (.f64 -243/112000 (pow.f64 eps 2))))))
(.f64 (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000)) (/.f64 1 (+.f64 9/40 (*.f64 27/2800 (pow.f64 eps 2)))))
(/.f64 1 (/.f64 (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (.f64 -243/112000 (pow.f64 eps 2)))) (+.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000)))
(/.f64 1 (/.f64 (+.f64 9/40 (.f64 27/2800 (pow.f64 eps 2))) (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000) (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (*.f64 -243/112000 (pow.f64 eps 2)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000) (+.f64 (.f64 (pow.f64 eps 4) 729/7840000) (-.f64 81/1600 (*.f64 -243/112000 (pow.f64 eps 2)))))
(/.f64 (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000)) (+.f64 9/40 (.f64 27/2800 (pow.f64 eps 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 2) 3) -19683/21952000000) 729/64000)) (neg.f64 (+.f64 81/1600 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) (*.f64 -243/112000 (pow.f64 eps 2))))))
(/.f64 (neg.f64 (-.f64 81/1600 (.f64 (pow.f64 eps 4) 729/7840000))) (neg.f64 (+.f64 9/40 (.f64 27/2800 (pow.f64 eps 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) 729/7840000) 81/1600) (-.f64 (.f64 (pow.f64 eps 2) -27/2800) 9/40))
(pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 eps 2) -27/2800 9/40)) 1))
(fma.f64 (pow.f64 eps 2) -27/2800 9/40)
(fma.f64 -27/2800 (pow.f64 eps 2) 9/40)
(fma.f64 1 (*.f64 (pow.f64 eps 2) -27/2800) 9/40)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 729/7840000)) (cbrt.f64 (.f64 (pow.f64 eps 2) -27/2800)) 9/40)
(fma.f64 (.f64 eps (sqrt.f64 -27/2800)) (.f64 eps (sqrt.f64 -27/2800)) 9/40)
(+.f64 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 2) 27/112000)) (*.f64 (pow.f64 eps 2) -27/2800))
(+.f64 (.f64 (.f64 (pow.f64 eps 2) 27/112000) (pow.f64 eps 2)) (*.f64 (pow.f64 eps 2) -27/2800))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))) 1)
(/.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000)) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000))))
(/.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000)) (fma.f64 (pow.f64 eps 2) 27/112000 27/2800))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) 27/112000 27/2800))
(pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))) 1))
(+.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(+.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)) 1))
(+.f64 (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 9/40 (pow.f64 eps 2)) 3) (pow.f64 (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)) 3)) (+.f64 (.f64 (pow.f64 eps 4) 81/1600) (-.f64 (.f64 (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4))) (.f64 (.f64 9/40 (pow.f64 eps 2)) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 4) 81/1600) (.f64 (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))) (-.f64 (.f64 9/40 (pow.f64 eps 2)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4))))
(/.f64 (.f64 (pow.f64 eps 2) (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3) 729/64000)) (+.f64 81/1600 (.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (-.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 9/40))))
(/.f64 (.f64 (pow.f64 eps 2) (-.f64 81/1600 (pow.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2))) (-.f64 9/40 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3) 729/64000) (pow.f64 eps 2)) (+.f64 81/1600 (.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (-.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 9/40))))
(/.f64 (.f64 (-.f64 81/1600 (pow.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2)) (pow.f64 eps 2)) (-.f64 9/40 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))) 1))
(fma.f64 9/40 (pow.f64 eps 2) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (pow.f64 eps 2) 9/40 (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 1 (.f64 9/40 (pow.f64 eps 2)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 81/1600)) (cbrt.f64 (.f64 9/40 (pow.f64 eps 2))) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (.f64 eps (sqrt.f64 9/40)) (.f64 eps (sqrt.f64 9/40)) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) 27/112000))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 27/112000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 27/112000)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 729/12544000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 27/112000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) 27/112000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) 27/112000)) 1))
(+.f64 -27/2800 (*.f64 (pow.f64 eps 2) 27/112000))
(+.f64 (*.f64 (pow.f64 eps 2) 27/112000) -27/2800)
(*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 1)
(*.f64 1 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2) (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000)))))
(.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (/.f64 1 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000))) (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800) (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (*.f64 (pow.f64 eps 2) 729/313600000))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (-.f64 729/7840000 (.f64 (.f64 (pow.f64 eps 2) 27/112000) -27/2800))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (fma.f64 (pow.f64 eps 2) 27/112000 27/2800))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (-.f64 (.f64 (pow.f64 eps 2) 27/112000) -27/2800))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (*.f64 (pow.f64 eps 2) 729/313600000)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000)) (neg.f64 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800)))
(pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 1))
(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)
(fma.f64 27/112000 (pow.f64 eps 2) -27/2800)
(fma.f64 1 (*.f64 (pow.f64 eps 2) 27/112000) -27/2800)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 729/12544000000)) (cbrt.f64 (.f64 (pow.f64 eps 2) 27/112000)) -27/2800)
(fma.f64 (.f64 eps (sqrt.f64 27/112000)) (.f64 eps (sqrt.f64 27/112000)) -27/2800)

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1558×	`distribute-rgt-in`
1520×	`distribute-lft-in`
982×	`cancel-sign-sub-inv`
664×	`fma-neg`
610×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	8529
1	907	8243
2	3114	8071

Stop Event

1×	node limit

Counts

230 → 264

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 eps 2))
(*.f64 -27/2800 (pow.f64 eps 4))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 -27/2800 (pow.f64 eps 4))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
9/40
(*.f64 -27/2800 (pow.f64 eps 2))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 -27/2800 (pow.f64 eps 2))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 -27/2800 (pow.f64 eps 2))
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(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40) 3) (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 9/40))) 1))
(fma.f64 9/40 (pow.f64 eps 2) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (pow.f64 eps 2) 9/40 (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 1 (.f64 9/40 (pow.f64 eps 2)) (.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 81/1600)) (cbrt.f64 (.f64 9/40 (pow.f64 eps 2))) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(fma.f64 (.f64 eps (sqrt.f64 9/40)) (.f64 eps (sqrt.f64 9/40)) (*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) (pow.f64 eps 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) 27/112000))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 27/112000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 27/112000)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 729/12544000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 27/112000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) 27/112000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) 27/112000)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) 27/112000)) 1))
(+.f64 -27/2800 (*.f64 (pow.f64 eps 2) 27/112000))
(+.f64 (*.f64 (pow.f64 eps 2) 27/112000) -27/2800)
(*.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 1)
(*.f64 1 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2) (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000)))))
(.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (/.f64 1 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (.f64 (pow.f64 eps 2) 729/313600000))) (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800) (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (*.f64 (pow.f64 eps 2) 729/313600000))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000) (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (-.f64 729/7840000 (.f64 (.f64 (pow.f64 eps 2) 27/112000) -27/2800))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (fma.f64 (pow.f64 eps 2) 27/112000 27/2800))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000) (-.f64 (.f64 (pow.f64 eps 2) 27/112000) -27/2800))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) 27/112000) 3) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 eps 4) 729/12544000000) (+.f64 729/7840000 (*.f64 (pow.f64 eps 2) 729/313600000)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps 4) 729/12544000000) -729/7840000)) (neg.f64 (fma.f64 (pow.f64 eps 2) 27/112000 27/2800)))
(pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)) 1))
(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)
(fma.f64 27/112000 (pow.f64 eps 2) -27/2800)
(fma.f64 1 (*.f64 (pow.f64 eps 2) 27/112000) -27/2800)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 729/12544000000)) (cbrt.f64 (.f64 (pow.f64 eps 2) 27/112000)) -27/2800)
(fma.f64 (.f64 eps (sqrt.f64 27/112000)) (.f64 eps (sqrt.f64 27/112000)) -27/2800)

Outputs
(*.f64 9/40 (pow.f64 eps 2))
(*.f64 -27/2800 (pow.f64 eps 4))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(*.f64 -27/2800 (pow.f64 eps 4))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 4) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
9/40
(*.f64 -27/2800 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -27/2800)
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(*.f64 -27/2800 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -27/2800)
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 (.f64 9/40 (/.f64 1 (pow.f64 eps 2))) 27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 (/.f64 9/40 (pow.f64 eps 2)) -27/2800))
(*.f64 (pow.f64 eps 2) (+.f64 -27/2800 (/.f64 9/40 (pow.f64 eps 2))))
(*.f64 -27/2800 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -27/2800)
(*.f64 27/112000 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 27/112000)
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(*.f64 27/112000 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 27/112000)
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 4) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 4) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 4) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (fma.f64 (pow.f64 eps 2) -27/2800 9/40))
(*.f64 27/112000 (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))) (pow.f64 eps 6))
(*.f64 (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))) (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (-.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 27/2800 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))))
(*.f64 (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))) (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (-.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 27/2800 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))))
(*.f64 (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))) (pow.f64 eps 6))
(*.f64 27/112000 (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))) (pow.f64 eps 6))
(*.f64 (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))) (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (-.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 27/2800 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))))
(*.f64 (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))) (pow.f64 eps 6))
(.f64 (pow.f64 eps 6) (-.f64 (+.f64 27/112000 (/.f64 9/40 (pow.f64 eps 4))) (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (-.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 27/2800 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 6) (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))))
(*.f64 (+.f64 27/112000 (+.f64 (/.f64 9/40 (pow.f64 eps 4)) (/.f64 -27/2800 (pow.f64 eps 2)))) (pow.f64 eps 6))
-27/2800
(*.f64 27/112000 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) 27/112000)
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(*.f64 27/112000 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) 27/112000)
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(.f64 (pow.f64 eps 2) (-.f64 27/112000 (.f64 27/2800 (/.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (-.f64 27/112000 (/.f64 27/2800 (pow.f64 eps 2))))
(*.f64 (pow.f64 eps 2) (+.f64 27/112000 (/.f64 -27/2800 (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 3) 1/3)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(*.f64 9/40 (pow.f64 eps 2))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
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(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)
(fma.f64 27/112000 (pow.f64 eps 2) -27/2800)
(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)
(fma.f64 1 (*.f64 (pow.f64 eps 2) 27/112000) -27/2800)
(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 729/12544000000)) (cbrt.f64 (.f64 (pow.f64 eps 2) 27/112000)) -27/2800)
(fma.f64 (.f64 eps (sqrt.f64 27/112000)) (.f64 eps (sqrt.f64 27/112000)) -27/2800)
(fma.f64 (pow.f64 eps 2) 27/112000 -27/2800)

eval205.0ms (1.4%)

Compiler: Compiled 5662 to 4824 computations (14.8% saved)

prune41.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	264	5	269

Accuracy

100.0%

Counts

269 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	100.0%	(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
✓	100.0%	(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
✓	99.9%	(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
✓	99.3%	-1/2

Compiler

Compiled 104 to 84 computations (19.2% saved)

regimes7.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)

Outputs
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)

Calls

2 calls:

4.0ms	eps
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)

Outputs
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)

Calls

2 calls:

3.0ms	eps
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Outputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)

Calls

2 calls:

3.0ms	eps
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/2

Outputs
-1/2

Calls

1 calls:

4.0ms

eps

Results

Accuracy	Segments	Branch
99.3%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
16×	`+-commutative`
12×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	130
1	40	130
2	50	130
3	54	130
4	56	130

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2

Outputs
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 27/112000 (pow.f64 eps 2)) 27/2800)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) 27/112000) 27/2800)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 -27/2800 (pow.f64 eps 2)))) 1/2)
(-.f64 (.f64 (pow.f64 eps 2) (+.f64 9/40 (.f64 (pow.f64 eps 2) -27/2800))) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(-.f64 (*.f64 (pow.f64 eps 2) 9/40) 1/2)
-1/2

Compiler

Compiled 44 to 38 computations (13.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess95.0ms (0.6%)

Remove: (abs eps)
Compiler: Compiled 378 to 296 computations (21.7% saved)

analyze400.0ms (2.7%)

sample11.6s (78.5%)

preprocess787.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize482.0ms (3.2%)

series57.0ms (0.4%)

rewrite235.0ms (1.6%)

simplify165.0ms (1.1%)

eval73.0ms (0.5%)

prune51.0ms (0.3%)

localize237.0ms (1.6%)

series14.0ms (0.1%)

rewrite202.0ms (1.4%)

simplify127.0ms (0.9%)

eval205.0ms (1.4%)

prune41.0ms (0.3%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess95.0ms (0.6%)

Profiling