Metrics for Hyperbolic secant

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample842.0ms (36.3%)

Results

829.0ms

8256×

body

256

valid

Bogosity

preprocess84.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-def`
864×	`swap-sqr`
832×	`fabs-mul`
708×	`sqr-pow`
586×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	25	75
2	45	75
3	76	75
4	147	75
5	310	75
6	826	75
7	2404	75
8	3614	75
9	4681	75
10	6353	75

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

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
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (1.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 25 to 9 computations (64% saved)

series2.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite31.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

222×	`add-sqr-sqrt`
210×	`add-exp-log`
210×	`pow1`
210×	`*-un-lft-identity`
208×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3340	17

Stop Event

1×

unsound

Counts

1 → 18

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512
x

simplify70.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1434×	`fma-def`
810×	`distribute-lft-out`
636×	`*-commutative`
572×	`unswap-sqr`
556×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206

Stop Event

1×	node limit

Counts

26 → 35

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) (fma.f64 -61/720 (pow.f64 x 6) 1))
(fma.f64 x (fma.f64 -1/2 x (*.f64 5/24 (pow.f64 x 3))) (fma.f64 -61/720 (pow.f64 x 6) 1))
(fma.f64 -61/720 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
-8
-4
-2
-1
-1/2
0
1/2
1
3/2
2
3
4
8
9
16
27
64
512

eval6.0ms (0.3%)

Compiler: Compiled 232 to 165 computations (28.9% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Accuracy

100.0%

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0
▶	54.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0

Compiler

Compiled 70 to 52 computations (25.7% saved)

localize53.0ms (2.3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
✓	99.9%	(fma.f64 (*.f64 x x) 5/24 -1/2)
✓	100.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))

Compiler

Compiled 44 to 22 computations (50% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 1 (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	0	(+.f64 1 (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	-inf	(+.f64 1 (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
0.0ms	x	@	0	(fma.f64 (*.f64 x x) 5/24 -1/2)

rewrite82.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`log-prod`
720×	`prod-diff`
678×	`fma-def`
606×	`pow-prod-down`
510×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	247	59
2	2941	59

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(.f64 1 (fma.f64 -1/2 (.f64 x x) 1))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) 1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 x x))))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 1)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 1)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(+.f64 -1/2 (.f64 x (.f64 x 5/24)))
(+.f64 0 (fma.f64 x (*.f64 x 5/24) -1/2))
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
(+.f64 (.f64 (.f64 x (*.f64 x 5/24)) 1) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(.f64 1 (fma.f64 x (.f64 x 5/24) -1/2))
(.f64 (fma.f64 x (.f64 x 5/24) -1/2) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 3) -1/8) (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) (-.f64 1/4 (.f64 (.f64 x (*.f64 x 5/24)) -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) 1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1)
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))

simplify104.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1882×	`fma-def`
1454×	`unswap-sqr`
774×	`fma-neg`
506×	`*-commutative`
456×	`hypot-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3816
1	576	3520
2	1843	3462
3	7178	3462

Stop Event

1×	node limit

Counts

148 → 157

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(.f64 1 (fma.f64 -1/2 (.f64 x x) 1))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) 1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 x x))))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 1)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 1)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(+.f64 -1/2 (.f64 x (.f64 x 5/24)))
(+.f64 0 (fma.f64 x (*.f64 x 5/24) -1/2))
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
(+.f64 (.f64 (.f64 x (*.f64 x 5/24)) 1) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 5/24) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(.f64 1 (fma.f64 x (.f64 x 5/24) -1/2))
(.f64 (fma.f64 x (.f64 x 5/24) -1/2) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 3) -1/8) (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) (-.f64 1/4 (.f64 (.f64 x (*.f64 x 5/24)) -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) 1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1)
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))))
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(*.f64 5/24 (pow.f64 x 2))
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(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
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1
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(/.f64 (+.f64 -1/8 (pow.f64 (.f64 x (.f64 x 5/24)) 3)) (+.f64 (.f64 (pow.f64 x 4) 25/576) (-.f64 1/4 (.f64 x (*.f64 x -5/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) 1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 5/24)) 2) -1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (fma.f64 x (.f64 x 5/24) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(fma.f64 x (*.f64 x 5/24) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(fma.f64 x (*.f64 x 5/24) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(fma.f64 x (*.f64 x 5/24) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(fma.f64 x (*.f64 x 5/24) -1/2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(fma.f64 x (*.f64 x 5/24) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(fma.f64 x (*.f64 x 5/24) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1/3))
(fma.f64 x (*.f64 x 5/24) -1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(fma.f64 x (*.f64 x 5/24) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(+.f64 1 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) (-.f64 1 (.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)) 1))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3) 1) (+.f64 (pow.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x))) 2) (-.f64 1 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3) 1) (-.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 2) 1) (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2)) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) -1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x))) 2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)) -1))
(/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 2) -1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2))) 1))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2))) 1) 1))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 3))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2)))) 1/3))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))

eval107.0ms (4.6%)

Compiler: Compiled 2366 to 1603 computations (32.2% saved)

prune22.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	3	3
Picked	1	1	2
Done	0	1	1
Total	157	6	163

Accuracy

100.0%

Counts

163 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0
▶	54.0%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize42.0ms (1.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x 5/24)) -1/2)
✓	99.9%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	99.7%	(.f64 x (.f64 x 5/24))
✓	99.5%	(*.f64 x 5/24)

Compiler

Compiled 36 to 23 computations (36.1% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x 5/24)
0.0ms	x	@	-inf	(*.f64 x 5/24)
0.0ms	x	@	0	(*.f64 x 5/24)
0.0ms	x	@	0	(.f64 x (.f64 x 5/24))
0.0ms	x	@	inf	(.f64 x (.f64 x 5/24))

rewrite87.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`log-prod`
760×	`prod-exp`
664×	`pow-prod-down`
514×	`pow-prod-up`
474×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	247	64
2	2901	64

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(*.f64 x 5/24)
(.f64 x (.f64 x 5/24))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
(+.f64 (.f64 x (.f64 x 5/24)) -1/2)

Outputs
(+.f64 0 (*.f64 x 5/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(pow.f64 (*.f64 x 5/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(exp.f64 (log.f64 (*.f64 x 5/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(+.f64 0 (.f64 x (.f64 x 5/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 5/24)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 5/24))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 5/24)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 125/13824)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 5/24))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x 5/24))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x 5/24)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 5/24))))
(+.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 25/576) (fma.f64 x (.f64 x 5/24) 1/2)) (/.f64 1/4 (fma.f64 x (*.f64 x 5/24) 1/2)))
(.f64 (fma.f64 x (.f64 x 5/24) -1/2) 1)
(.f64 1 (fma.f64 x (.f64 x 5/24) -1/2))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) -5/48))))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 x 5/24) 1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)) (fma.f64 (pow.f64 x 6) 125/13824 -1/8)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 4) 25/576) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (neg.f64 (fma.f64 x (*.f64 x 5/24) 1/2)))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 4) 25/576)) (-.f64 -1/2 (.f64 x (*.f64 x 5/24))))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)) (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 4) 25/576 -1/4)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x 5/24) x -1/2)
(fma.f64 (.f64 x (.f64 x 5/24)) 1 -1/2)
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 1 (.f64 x (.f64 x 5/24)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 5/24) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2) (.f64 (cbrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) -1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (.f64 x (*.f64 x 5/24))) -1/2)
(fma.f64 (sqrt.f64 (.f64 x 5/24)) (.f64 (sqrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 5/24)) (.f64 x (sqrt.f64 5/24)) -1/2)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2)) (cbrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 5/24))) (sqrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (sqrt.f64 x)) (sqrt.f64 x) -1/2)

simplify104.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1422×	`unswap-sqr`
1260×	`fma-neg`
748×	`log-prod`
412×	`prod-exp`
348×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	3954
1	715	3670
2	2188	3646
3	6531	3622

Stop Event

1×	node limit

Counts

182 → 177

Calls

Call 1

Inputs
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(+.f64 0 (*.f64 x 5/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(pow.f64 (*.f64 x 5/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(exp.f64 (log.f64 (*.f64 x 5/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(+.f64 0 (.f64 x (.f64 x 5/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 5/24)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 5/24))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 5/24)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 125/13824)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 5/24)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 5/24))) 2))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x 5/24))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 5/24)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x 5/24)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x 5/24)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 5/24))))
(+.f64 1 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))
(+.f64 0 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(+.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))) 1)
(.f64 1 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (.f64 x 5/24) -1/2) 3)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) (-.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 1))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) 1) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 5/24) -1/2) -1))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 25/576) (fma.f64 x (.f64 x 5/24) 1/2)) (/.f64 1/4 (fma.f64 x (*.f64 x 5/24) 1/2)))
(.f64 (fma.f64 x (.f64 x 5/24) -1/2) 1)
(.f64 1 (fma.f64 x (.f64 x 5/24) -1/2))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) -5/48))))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 x 5/24) 1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)) (fma.f64 (pow.f64 x 6) 125/13824 -1/8)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 4) 25/576) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (neg.f64 (fma.f64 x (*.f64 x 5/24) 1/2)))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 4) 25/576)) (-.f64 -1/2 (.f64 x (*.f64 x 5/24))))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)) (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 4) 25/576 -1/4)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 x (*.f64 x 5/24) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x 5/24) x -1/2)
(fma.f64 (.f64 x (.f64 x 5/24)) 1 -1/2)
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 1 (.f64 x (.f64 x 5/24)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 5/24) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2) (.f64 (cbrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) -1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (.f64 x (*.f64 x 5/24))) -1/2)
(fma.f64 (sqrt.f64 (.f64 x 5/24)) (.f64 (sqrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 5/24)) (.f64 x (sqrt.f64 5/24)) -1/2)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2)) (cbrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 5/24))) (sqrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (sqrt.f64 x)) (sqrt.f64 x) -1/2)

Outputs
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 x)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2) 1)
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(+.f64 0 (*.f64 x 5/24))
(*.f64 5/24 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 5/24))))
(*.f64 5/24 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 5/24))) 1)
(*.f64 5/24 x)
(pow.f64 (*.f64 x 5/24) 1)
(*.f64 5/24 x)
(pow.f64 (cbrt.f64 (*.f64 x 5/24)) 3)
(*.f64 5/24 x)
(pow.f64 (.f64 (.f64 x x) 25/576) 1/2)
(sqrt.f64 (.f64 x (.f64 x 25/576)))
(fabs.f64 (*.f64 5/24 x))
(pow.f64 (pow.f64 (*.f64 x 5/24) 3) 1/3)
(*.f64 5/24 x)
(pow.f64 (sqrt.f64 (*.f64 x 5/24)) 2)
(*.f64 5/24 x)
(sqrt.f64 (.f64 (.f64 x x) 25/576))
(sqrt.f64 (.f64 x (.f64 x 25/576)))
(fabs.f64 (*.f64 5/24 x))
(log.f64 (pow.f64 (exp.f64 x) 5/24))
(*.f64 5/24 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 5/24))))
(*.f64 5/24 x)
(cbrt.f64 (pow.f64 (*.f64 x 5/24) 3))
(*.f64 5/24 x)
(expm1.f64 (log1p.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(exp.f64 (log.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (.f64 x 5/24)) 1))
(*.f64 5/24 x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 5/24)) 1) 1))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 5/24))) 3))
(*.f64 5/24 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 5/24))) 1/3))
(*.f64 5/24 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 5/24))) 2))
(*.f64 5/24 x)
(log1p.f64 (expm1.f64 (*.f64 x 5/24)))
(*.f64 5/24 x)
(+.f64 0 (.f64 x (.f64 x 5/24)))
(.f64 5/24 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 5/24 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/24))))
(.f64 5/24 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 5/24)))) 1)
(.f64 5/24 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 5/24)) 1)
(.f64 5/24 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) 3)
(.f64 5/24 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 25/576) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
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(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 4) 25/576) (.f64 (*.f64 x x) -5/48))))
(.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 x (.f64 x 5/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (fma.f64 x (*.f64 x -5/48) (fma.f64 (pow.f64 x 4) -25/576 -1/4)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 x (*.f64 x 5/24) 1/2))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 5/24 x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48))))
(.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 x (.f64 x 5/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (fma.f64 x (*.f64 x -5/48) (fma.f64 (pow.f64 x 4) -25/576 -1/4)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (neg.f64 (fma.f64 x (*.f64 x 5/24) 1/2)))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 5/24 x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 x 4) 25/576)) (-.f64 -1/2 (.f64 x (*.f64 x 5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 5/24 x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3) 1/3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) -5/48)) (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) -1)
(.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 25/576 (.f64 x (.f64 x 5/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (fma.f64 x (*.f64 x -5/48) (fma.f64 (pow.f64 x 4) -25/576 -1/4)))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 5/24) 1/2) (fma.f64 (pow.f64 x 4) 25/576 -1/4)) -1)
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 x (.f64 5/24 x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2))))
(fma.f64 5/24 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 5/24) -1/2) 3))
(fma.f64 5/24 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 5/24) -1/2)) 1))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2)) 1) 1))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 3))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x 5/24) -1/2))) 1/3))
(fma.f64 5/24 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 5/24) -1/2))) 2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 5/24) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 5/24) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x 5/24) x -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (.f64 x 5/24)) 1 -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 x (.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 5/24) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2) (.f64 (cbrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 5/24))) (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) -1/2)
(fma.f64 (cbrt.f64 (.f64 5/24 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) -1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (.f64 x (*.f64 x 5/24))) -1/2)
(fma.f64 (cbrt.f64 (.f64 5/24 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) -1/2)
(fma.f64 (sqrt.f64 (.f64 x 5/24)) (.f64 (sqrt.f64 (*.f64 x 5/24)) x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 5/24)) (.f64 x (sqrt.f64 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 5/24)) 2)) (cbrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 5/24))) (sqrt.f64 (*.f64 x 5/24)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 (.f64 x 5/24) (sqrt.f64 x)) (sqrt.f64 x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)

eval68.0ms (2.9%)

Compiler: Compiled 3002 to 1968 computations (34.4% saved)

prune27.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	177	6	183

Accuracy

100.0%

Counts

183 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.0%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0
✓	54.0%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	0	0
Done	3	3
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.0%	(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
✓	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	54.0%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	54.4%	1
	11.5%	1/2
	47.8%	0

Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes14.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
0
1/2
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

3 calls:

8.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes10.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

Inputs
0
1/2
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)

Outputs
(fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1)
0

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes18.0ms (0.8%)

Counts

4 → 2

Calls

Call 1

Inputs
0
1/2
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))

Outputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))
0

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

Inputs
0
1/2
1

Outputs
1
0

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes7.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

Inputs
0
1/2

Outputs
1/2
0

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
56.2%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
47.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch17.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	237.9751636351969	39490.261268502785

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 132 to 101 computations (23.5% saved)

bsearch15.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3468910785904886	237.9751636351969

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 97 to 80 computations (17.5% saved)

bsearch13.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	237.9751636351969	39490.261268502785

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 55 to 52 computations (5.5% saved)

bsearch15.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	237.9751636351969	39490.261268502785

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 55 to 52 computations (5.5% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	120
1	46	120
2	48	120
3	49	120

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 350) (fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1) 0)
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 360) 1 0)
(if (<=.f64 x 360) 1/2 0)
0

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x 350) (fma.f64 (.f64 x x) (+.f64 (.f64 x (*.f64 x 5/24)) -1/2) 1) 0)
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 1 (.f64 -1/2 (.f64 x x))) 0)
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 1 (.f64 (.f64 x x) -1/2)) 0)
(if (<=.f64 x 360) 1 0)
(if (<=.f64 x 360) 1/2 0)
0

Compiler

Compiled 56 to 44 computations (21.4% saved)

soundness347.0ms (15%)

Rules

1434×	`fma-def`
1434×	`fma-def`
1014×	`log-prod`
810×	`distribute-lft-out`
810×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3340	17
0	10	17
1	216	17
2	3340	17
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206
0	42	218
1	74	214
2	139	210
3	359	206
4	1247	206
5	3148	206
6	4186	206
7	6488	206
0	12	63
1	247	59
2	2941	59

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	unsound

Compiler

Compiled 211 to 157 computations (25.6% saved)

end0.0ms (0%)

preprocess65.0ms (2.8%)

Remove: (abs x)
Compiler: Compiled 138 to 104 computations (24.6% saved)

analyze0.0ms (0%)

sample842.0ms (36.3%)

preprocess84.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.3%)

series2.0ms (0.1%)

rewrite31.0ms (1.3%)

simplify70.0ms (3%)

eval6.0ms (0.3%)

prune8.0ms (0.3%)

localize53.0ms (2.3%)

series2.0ms (0.1%)

rewrite82.0ms (3.5%)

simplify104.0ms (4.5%)

eval107.0ms (4.6%)

prune22.0ms (0.9%)

localize42.0ms (1.8%)

series3.0ms (0.1%)

rewrite87.0ms (3.8%)

simplify104.0ms (4.5%)

eval68.0ms (2.9%)

prune27.0ms (1.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes14.0ms (0.6%)

regimes10.0ms (0.4%)

regimes18.0ms (0.8%)

regimes10.0ms (0.4%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.7%)

bsearch15.0ms (0.7%)

bsearch13.0ms (0.6%)

bsearch15.0ms (0.6%)

simplify7.0ms (0.3%)

soundness347.0ms (15%)

end0.0ms (0%)

preprocess65.0ms (2.8%)

Profiling