Metrics for sintan (problem 3.4.5)

analyze408.0ms (3%)

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: 203.0ms

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

Operation ival-sin, time spent: 47.0ms, 23.0% of total-time

Operation ival-tan, time spent: 40.0ms, 20.0% of total-time

Operation ival-<=, time spent: 39.0ms, 19.0% of total-time

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

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

Operation ival-and, time spent: 5.0ms, 2.0% of total-time

sample11.2s (81.9%)

Results

8.7s	4192×	2048	valid
1.4s	2030×	1024	valid
507.0ms	1022×	512	valid
146.0ms	877×	256	valid
132.0ms	134×	4096	valid
2.0ms	1×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 9.4s

Operation ival-tan, time spent: 5.6s, 59.0% of total-time

Operation ival-sin, time spent: 2.9s, 31.0% of total-time

Operation ival-sub, time spent: 427.0ms, 5.0% of total-time

Operation ival-<=, time spent: 344.0ms, 4.0% of total-time

Operation ival-div, time spent: 152.0ms, 2.0% of total-time

Operation const, time spent: 41.0ms, 0.0% of total-time

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

Bogosity

preprocess810.0ms (5.9%)

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	Underpredictions	Example	Subexpression
170	-	4	(1.700483519425674e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
90	-	0	-	`(-.f64 eps (sin.f64 eps))`
90	-	0	-	`(-.f64 eps (tan.f64 eps))`
0	-	0	-	`(sin.f64 eps)`
0	-	0	-	`eps`
0	-	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 #s(literal -1 binary64) eps (sin.f64 eps)) (neg.f64 (fma.f64 #s(literal -1 binary64) 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: 556.0ms

Operation ival-tan, time spent: 316.0ms, 57.0% of total-time

Operation ival-sin, time spent: 176.0ms, 32.0% of total-time

Operation ival-sub, time spent: 54.0ms, 10.0% of total-time

Operation ival-div, time spent: 9.0ms, 2.0% 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
▶	0.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize305.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	68.1%	(-.f64 eps (sin.f64 eps))
✓	68.0%	(-.f64 eps (tan.f64 eps))
✓	34.7%	(/.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: 244.0ms

Operation ival-tan, time spent: 156.0ms, 64.0% of total-time

Operation ival-sin, time spent: 72.0ms, 29.0% of total-time

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

Operation ival-div, time spent: 6.0ms, 2.0% of total-time

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

series7.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 27/2800 binary64))))) #s(literal 1/2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.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 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2/15 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/315 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -62/2835 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 17/315 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/120 binary64)))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite243.0ms (1.8%)

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

Outputs
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 #s(literal 0 binary64) (/.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))))) #s(literal 1 binary64))
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.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))) #s(literal 2 binary64))) (/.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 #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
(pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) #s(literal -1 binary64))
(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))))
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(+.f64 #s(literal 0 binary64) (-.f64 eps (sin.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 eps (sin.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 eps (sin.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))))
(*.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (.f64 eps (neg.f64 (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 eps)))) (-.f64 eps (neg.f64 (sin.f64 eps))))
(pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 eps (sin.f64 eps)))))
(log.f64 (*.f64 (exp.f64 eps) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 eps)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 eps)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 (neg.f64 (sin.f64 eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (/.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 eps)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 (sin.f64 eps))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 eps (sin.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (sin.f64 eps))))
(exp.f64 (log.f64 (-.f64 eps (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (sin.f64 eps))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (neg.f64 (sin.f64 eps)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) eps (neg.f64 (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 eps))) eps)
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (sin.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))) eps)
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (sin.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps)
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 eps)) eps)

simplify155.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg`
624×	`distribute-lft-neg-in`
568×	`div-sub`
560×	`distribute-rgt-neg-in`
472×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	10275
1	1346	9840
2	4441	9694

Stop Event

1×	node limit

Counts

273 → 333

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 27/2800 binary64))))) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.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 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2/15 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/315 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -62/2835 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 17/315 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
eps
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(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 eps)) eps)

Outputs
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -27/2800 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 27/2800 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 9/40 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -27/2800 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps) (.f64 (sin.f64 eps) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps)))) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps) (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (.f64 (sin.f64 eps) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps))))))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) eps)) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.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 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.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 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2/15 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/315 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -17/315 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -62/2835 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 17/315 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -62/2835 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) #s(literal 1 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 eps (cos.f64 eps)))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/362880 binary64))) #s(literal -1/120 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) eps)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
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(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
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(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 eps (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (neg.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 eps)) eps)
(-.f64 eps (sin.f64 eps))

eval98.0ms (0.7%)

Compiler: Compiled 6501 to 2045 computations (68.5% saved)

prune44.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	331	2	333
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	2	334

Accuracy

100.0%

Counts

334 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	99.8%	#s(literal -1/2 binary64)

Compiler

Compiled 10 to 9 computations (10% saved)

localize46.0ms (0.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))

Compiler

Compiled 22 to 18 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-sub, time spent: 5.0ms, 33.0% of total-time

Operation ival-pow, time spent: 5.0ms, 33.0% of total-time

Operation ival-mult, time spent: 4.0ms, 26.0% of total-time

Operation const, time spent: 2.0ms, 13.0% of total-time

series2.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))>

Outputs

Calls

3 calls:

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

rewrite172.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`associate-r`
742×	`associate-l`
490×	`unpow-prod-down`
397×	`log1p-expm1-u`
286×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	69	16
2	713	16
3	7802	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/20 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal 9/40 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))
(fabs.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64)))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1242×	`sub-neg`
1126×	`times-frac`
650×	`prod-exp`
632×	`div-sub`
484×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	654
1	164	650
2	412	637
3	1732	633
4	4822	633

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/20 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal 9/40 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))
(fabs.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/20 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/20 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 9/40 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/80 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal 9/40 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 9/40 binary64)))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log.f64 #s(literal 9/40 binary64))))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 #s(literal 9/40 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64)))

eval20.0ms (0.1%)

Compiler: Compiled 479 to 422 computations (11.9% saved)

prune5.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	32	2	34

Accuracy

100.0%

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	99.8%	#s(literal -1/2 binary64)

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Outputs
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))

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)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

4.0ms

eps

Results

Accuracy	Segments	Branch
99.8%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	16	23
2	21	23
3	23	23
4	24	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)

Outputs
(-.f64 (*.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)

Compiler

Compiled 10 to 9 computations (10% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess80.0ms (0.6%)

Remove: (abs eps)
Compiler: Compiled 162 to 114 computations (29.6% saved)

analyze408.0ms (3%)

sample11.2s (81.9%)

preprocess810.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize305.0ms (2.2%)

series7.0ms (0.1%)

rewrite243.0ms (1.8%)

simplify155.0ms (1.1%)

eval98.0ms (0.7%)

prune44.0ms (0.3%)

localize46.0ms (0.3%)

series2.0ms (0%)

rewrite172.0ms (1.3%)

simplify70.0ms (0.5%)

eval20.0ms (0.1%)

prune5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess80.0ms (0.6%)

Profiling