Metrics for sintan (problem 3.4.5)

analyze457.0ms (3.1%)

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: 307.0ms

Operation ival-sub, time spent: 104.0ms, 34.0% of total-time

Operation ival-sin, time spent: 98.0ms, 32.0% of total-time

Operation ival-tan, time spent: 42.0ms, 14.0% of total-time

Operation ival-<=, time spent: 38.0ms, 12.0% of total-time

Operation ival-div, time spent: 14.0ms, 5.0% of total-time

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

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

sample11.7s (78.3%)

Results

9.1s	4060×	2048	valid
1.5s	2088×	1024	valid
294.0ms	1079×	512	valid
195.0ms	879×	256	valid
146.0ms	149×	4096	valid
1.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 10.0s

Operation ival-tan, time spent: 5.7s, 57.0% of total-time

Operation ival-sin, time spent: 2.7s, 27.0% of total-time

Operation ival-<=, time spent: 872.0ms, 9.0% of total-time

Operation ival-sub, time spent: 489.0ms, 5.0% of total-time

Operation ival-div, time spent: 146.0ms, 1.0% of total-time

Operation const, time spent: 38.0ms, 0.0% of total-time

Operation ival-and, time spent: 35.0ms, 0.0% of total-time

Bogosity

preprocess965.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1188×	`fma-neg`
904×	`times-frac`
858×	`div-sub`
820×	`fma-def`
574×	`associate-/r*`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
164	0	-	2	(7.155517747206105e-106)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
94	0	-	0	-	`(-.f64 eps (sin.f64 eps))`
94	1	(2.1023389233708077e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
0	0	-	0	-	`(sin.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(tan.f64 eps)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	40	164
2	86	156
3	227	156
4	672	156
5	2285	156
6	4024	156
7	4639	156
8	4863	156
9	4903	156
10	4928	156
11	4964	156
12	4964	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 (neg.f64 (-.f64 (neg.f64 eps) (neg.f64 (sin.f64 eps)))) (-.f64 (neg.f64 eps) (neg.f64 (tan.f64 eps))))
(/.f64 (neg.f64 (fma.f64 -1 eps (sin.f64 eps))) (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: 594.0ms

Operation ival-tan, time spent: 397.0ms, 67.0% of total-time

Operation ival-sin, time spent: 166.0ms, 28.0% of total-time

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

Operation ival-div, time spent: 8.0ms, 1.0% 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
▶	0.9%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize310.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	66.8%	(-.f64 eps (tan.f64 eps))
✓	66.8%	(-.f64 eps (sin.f64 eps))
✓	36.8%	(/.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: 260.0ms

Operation ival-tan, time spent: 161.0ms, 62.0% of total-time

Operation ival-sin, time spent: 78.0ms, 30.0% of total-time

Operation ival-sub, time spent: 16.0ms, 6.0% of total-time

Operation ival-div, time spent: 4.0ms, 2.0% of total-time

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

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms	eps	@	-inf	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms	eps	@	0	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
0.0ms	eps	@	inf	(-.f64 eps (tan.f64 eps))
0.0ms	eps	@	-inf	(-.f64 eps (tan.f64 eps))

rewrite485.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`prod-diff`
1011×	`log1p-expm1-u`
634×	`expm1-log1p-u`
300×	`expm1-udef`
300×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	156	73
2	2539	73

Stop Event

1×	node limit

Counts

3 → 336

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

simplify400.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg`
836×	`associate-+l+`
808×	`associate-+r+`
762×	`+-commutative`
510×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	45393
1	2161	34504
2	7994	34504

Stop Event

1×	node limit

Counts

372 → 477

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 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 (.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 (.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 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps 2) (cos.f64 eps)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))))
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (.f64 -1/120 (pow.f64 eps 5)) (.f64 1/6 (pow.f64 eps 3)))
(+.f64 (.f64 -1/120 (pow.f64 eps 5)) (+.f64 (.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/120 (pow.f64 eps 5)) (+.f64 (.f64 -1/362880 (pow.f64 eps 9)) (+.f64 (.f64 1/5040 (pow.f64 eps 7)) (.f64 1/6 (pow.f64 eps 3)))))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(*.f64 -1/3 (pow.f64 eps 3))
(+.f64 (.f64 -1/3 (pow.f64 eps 3)) (.f64 -2/15 (pow.f64 eps 5)))
(+.f64 (.f64 -1/3 (pow.f64 eps 3)) (+.f64 (.f64 -2/15 (pow.f64 eps 5)) (*.f64 -17/315 (pow.f64 eps 7))))
(+.f64 (.f64 -1/3 (pow.f64 eps 3)) (+.f64 (.f64 -2/15 (pow.f64 eps 5)) (+.f64 (.f64 -17/315 (pow.f64 eps 7)) (.f64 -62/2835 (pow.f64 eps 9)))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 eps (tan.f64 eps)))) (sin.f64 eps) (.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (sin.f64 eps))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) 1))) (fma.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) 1 (.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) 1)))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (sqrt.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps))))) (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)))))
(+.f64 (fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps))))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps))))) (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))))))
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(.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 eps eps (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(*.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)))))
(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)))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(+.f64 eps (neg.f64 (sin.f64 eps)))
(+.f64 eps (*.f64 (neg.f64 (sin.f64 eps)) 1))
(+.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(+.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(+.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 -1 (sin.f64 eps) (sin.f64 eps)))
(+.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (neg.f64 (sin.f64 eps)) eps)
(+.f64 (fma.f64 eps 1 (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (sin.f64 eps))) (fma.f64 -1 (sin.f64 eps) (sin.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps))) (fma.f64 -1 (sin.f64 eps) (sin.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (-.f64 eps (sin.f64 eps)) 1)
(*.f64 1 (-.f64 eps (sin.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (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 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.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 1 (/.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (sin.f64 eps)) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (.f64 eps (neg.f64 (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.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)) 1)
(pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3))
(expm1.f64 (log1p.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))) 1))
(log1p.f64 (expm1.f64 (-.f64 eps (sin.f64 eps))))
(fma.f64 1 eps (neg.f64 (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (sin.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (sin.f64 eps)))
(+.f64 eps (neg.f64 (tan.f64 eps)))
(+.f64 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(+.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)))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 -1 (tan.f64 eps) (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 (fma.f64 eps 1 (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (sin.f64 eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(+.f64 (fma.f64 eps 1 (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (tan.f64 eps))) (fma.f64 -1 (tan.f64 eps) (tan.f64 eps)))
(+.f64 (fma.f64 eps 1 (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (fma.f64 1 eps (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (sin.f64 eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (sin.f64 eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps))) (fma.f64 -1 (tan.f64 eps) (tan.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (sin.f64 eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (sin.f64 eps) (.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))
(*.f64 (-.f64 eps (tan.f64 eps)) 1)
(*.f64 1 (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))))
(.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 eps eps (.f64 (tan.f64 eps) (+.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 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 eps)) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps))) (.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(pow.f64 (-.f64 eps (tan.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 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 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (*.f64 9/40 (pow.f64 eps 2))) -1/2)
(fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 27/112000 (pow.f64 eps 6) (*.f64 9/40 (pow.f64 eps 2)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (*.f64 27/112000 (pow.f64 eps 6))) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(+.f64 (fma.f64 9/40 (pow.f64 eps 2) (*.f64 27/112000 (pow.f64 eps 6))) (fma.f64 -27/2800 (pow.f64 eps 4) -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 (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))
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(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 eps)) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps))) (.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 eps eps (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (-.f64 eps (neg.f64 (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)))
(pow.f64 (-.f64 eps (tan.f64 eps)) 1)
(-.f64 eps (tan.f64 eps))
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 3)
(-.f64 eps (tan.f64 eps))
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3) 1/3)
(-.f64 eps (tan.f64 eps))
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) 2)
(-.f64 eps (tan.f64 eps))
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 2))
(fabs.f64 (-.f64 eps (tan.f64 eps)))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))
(-.f64 eps (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 eps)))))
(-.f64 eps (tan.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(-.f64 eps (tan.f64 eps))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 eps))))
(-.f64 eps (tan.f64 eps))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(-.f64 eps (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) 1))
(-.f64 eps (tan.f64 eps))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(-.f64 eps (tan.f64 eps))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))

eval165.0ms (1.1%)

Compiler: Compiled 21446 to 5815 computations (72.9% saved)

prune70.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	474	3	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	3	478

Accuracy

100.0%

Counts

478 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
▶	99.9%	(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
▶	99.6%	-1/2

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize112.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 -27/2800 (pow.f64 eps 4))
✓	99.8%	(*.f64 9/40 (pow.f64 eps 2))
✓	99.8%	(*.f64 9/40 (pow.f64 eps 2))

Compiler

Compiled 68 to 55 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

Operation ival-pow, time spent: 21.0ms, 47.0% of total-time

Operation ival-mult, time spent: 14.0ms, 31.0% of total-time

Operation const, time spent: 4.0ms, 9.0% of total-time

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

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

series3.0ms (0%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(*.f64 9/40 (pow.f64 eps 2))
0.0ms	eps	@	0	(*.f64 -27/2800 (pow.f64 eps 4))
0.0ms	eps	@	inf	(*.f64 9/40 (pow.f64 eps 2))
0.0ms	eps	@	inf	(*.f64 -27/2800 (pow.f64 eps 4))
0.0ms	eps	@	-inf	(*.f64 -27/2800 (pow.f64 eps 4))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`unpow-prod-down`
488×	`log-prod`
470×	`cbrt-prod`
382×	`log1p-expm1-u`
382×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	114	48
2	1201	48

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 eps 2))
(*.f64 9/40 (pow.f64 eps 2))
(*.f64 -27/2800 (pow.f64 eps 4))

Outputs
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(-.f64 (+.f64 1 (*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(-.f64 (+.f64 1 (*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(+.f64 0 (*.f64 -27/2800 (pow.f64 eps 4)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) -27/1400))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(-.f64 (+.f64 1 (*.f64 -27/2800 (pow.f64 eps 4))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 eps 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 eps 4))) 3)
(pow.f64 (*.f64 (pow.f64 eps 8) 729/7840000) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800)) 2)
(pow.f64 (E.f64) (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))) (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(sqrt.f64 (*.f64 (pow.f64 eps 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 eps 4))))
(exp.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 eps 4)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 12) -19683/21952000000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800))) 2))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 eps 4))))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-lft-in`
678×	`distribute-rgt-in`
666×	`fma-def`
606×	`sqr-pow`
590×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1503
1	289	1503
2	610	1503
3	1522	1503
4	3946	1503

Stop Event

1×	node limit

Counts

63 → 47

Calls

Call 1

Inputs
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(-.f64 (+.f64 1 (*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(-.f64 (+.f64 1 (*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(+.f64 0 (*.f64 -27/2800 (pow.f64 eps 4)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) -27/1400))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(-.f64 (+.f64 1 (*.f64 -27/2800 (pow.f64 eps 4))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 eps 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 eps 4))) 3)
(pow.f64 (*.f64 (pow.f64 eps 8) 729/7840000) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800)) 2)
(pow.f64 (E.f64) (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))) (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(sqrt.f64 (*.f64 (pow.f64 eps 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 eps 4))))
(exp.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 eps 4)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 12) -19683/21952000000)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800))) 2))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 eps 4))))

Outputs
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(*.f64 9/40 (pow.f64 eps 2))
(-.f64 (+.f64 1 (*.f64 9/40 (pow.f64 eps 2))) 1)
(*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(*.f64 9/40 (pow.f64 eps 2))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(*.f64 9/40 (pow.f64 eps 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(*.f64 9/40 (pow.f64 eps 2))
(-.f64 (+.f64 1 (*.f64 9/40 (pow.f64 eps 2))) 1)
(*.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 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(*.f64 9/40 (pow.f64 eps 2))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (pow.f64 eps 2)))) 3))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(*.f64 (pow.f64 eps 2) (cbrt.f64 729/64000))
(exp.f64 (.f64 (log.f64 (.f64 eps (sqrt.f64 9/40))) 2))
(*.f64 9/40 (pow.f64 eps 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 0 (*.f64 -27/2800 (pow.f64 eps 4)))
(*.f64 (pow.f64 eps 4) -27/2800)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) -27/1400))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))))
(*.f64 (pow.f64 eps 4) -27/2800)
(-.f64 (+.f64 1 (*.f64 -27/2800 (pow.f64 eps 4))) 1)
(*.f64 (pow.f64 eps 4) -27/2800)
(pow.f64 (*.f64 -27/2800 (pow.f64 eps 4)) 1)
(*.f64 (pow.f64 eps 4) -27/2800)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 eps 4))) 3)
(*.f64 (pow.f64 eps 4) -27/2800)
(pow.f64 (*.f64 (pow.f64 eps 8) 729/7840000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 eps 8) 729/7840000))
(pow.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 eps 12)))
(*.f64 (pow.f64 eps 4) (cbrt.f64 -19683/21952000000))
(pow.f64 (*.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800)) 2)
(*.f64 (pow.f64 eps 4) -27/2800)
(pow.f64 (E.f64) (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))) (sqrt.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800))))
(sqrt.f64 (*.f64 (pow.f64 eps 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 eps 4)))
(*.f64 (pow.f64 eps 4) -27/2800)
(cbrt.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 eps 12)))
(*.f64 (pow.f64 eps 4) (cbrt.f64 -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) -27/2800)
(exp.f64 (fma.f64 4 (log.f64 eps) (log.f64 -27/2800)))
(*.f64 (pow.f64 eps 4) -27/2800)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 eps 4)))) 3))
(*.f64 (pow.f64 eps 4) -27/2800)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 12) -19683/21952000000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 12) -19683/21952000000))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 eps 12)))
(*.f64 (pow.f64 eps 4) (cbrt.f64 -19683/21952000000))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 eps 2) (sqrt.f64 -27/2800))) 2))
(*.f64 (pow.f64 eps 4) -27/2800)
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) -27/2800)

eval33.0ms (0.2%)

Compiler: Compiled 1048 to 900 computations (14.1% saved)

prune11.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	70	3	73

Accuracy

100.0%

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
✓	99.9%	(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
✓	99.6%	-1/2

Compiler

Compiled 55 to 45 computations (18.2% saved)

regimes6.0ms (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 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)

Outputs
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 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

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)

regimes2.0ms (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:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	25	66
2	31	66
3	33	66
4	34	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2

Outputs
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 eps 4)) (.f64 9/40 (pow.f64 eps 2))) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2

Compiler

Compiled 24 to 21 computations (12.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Remove: (abs eps)
Compiler: Compiled 252 to 190 computations (24.6% saved)

analyze457.0ms (3.1%)

sample11.7s (78.3%)

preprocess965.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize310.0ms (2.1%)

series4.0ms (0%)

rewrite485.0ms (3.2%)

simplify400.0ms (2.7%)

eval165.0ms (1.1%)

prune70.0ms (0.5%)

localize112.0ms (0.8%)

series3.0ms (0%)

rewrite79.0ms (0.5%)

simplify78.0ms (0.5%)

eval33.0ms (0.2%)

prune11.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Profiling