Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (44.7%)

Results

1.3s	8244×	256	valid
1.0ms	8×	256	infinite
1.0ms	4×	1024	valid

Bogosity

preprocess139.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

138×	`fma-def`
28×	`distribute-lft-neg-in`
20×	`associate--r+`
18×	`fma-neg`
18×	`associate-+l-`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 4 29)`
-	-	`x`
-	-	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
-	-	`29`
-	-	`108`
-	-	`(*.f64 (/.f64 841 108) x)`
-	-	`841`
-	-	`4`
-	-	`(/.f64 841 108)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	38	56
2	69	48
3	130	48
4	191	48
5	240	48
6	260	48
7	270	48
8	275	48
9	276	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29))
(neg.f64 (+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29)))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29))
(fma.f64 841/108 (neg.f64 x) 4/29)
(fma.f64 x -841/108 4/29)
(neg.f64 (+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29)))
(neg.f64 (fma.f64 841/108 (neg.f64 x) 4/29))
(+.f64 (*.f64 841/108 x) -4/29)
(fma.f64 841/108 x -4/29)

Compiler

Compiled 64 to 57 computations (10.9% saved)

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Compiler

Compiled 10 to 9 computations (10% saved)

localize43.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 27 to 24 computations (11.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	0	(*.f64 (/.f64 841 108) x)

rewrite259.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log1p-expm1-u`
622×	`associate-r`
576×	`expm1-udef`
576×	`log1p-udef`
570×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	49	10
2	490	10
3	5700	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (/.f64 841 108) x)

Outputs
(+.f64 (+.f64 (*.f64 841/108 x) 1) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(-.f64 (+.f64 (*.f64 841/108 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) 1) (+.f64 (+.f64 (.f64 841/108 x) 1) 1))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

564×	`times-frac`
546×	`fma-neg`
540×	`*-commutative`
518×	`distribute-lft-out`
506×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	580
1	201	576
2	551	569
3	2486	565

Stop Event

1×	node limit

Counts

37 → 31

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 (+.f64 (*.f64 841/108 x) 1) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(-.f64 (+.f64 (*.f64 841/108 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) 1) (+.f64 (+.f64 (.f64 841/108 x) 1) 1))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 (+.f64 (*.f64 841/108 x) 1) -1)
(*.f64 841/108 x)
(+.f64 0 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(*.f64 841/108 x)
(-.f64 (+.f64 (*.f64 841/108 x) 1) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -1) (fma.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 1) (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (fma.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 1) (fma.f64 841/108 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (fma.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 2) 1))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) 1) (+.f64 (+.f64 (.f64 841/108 x) 1) 1))
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(*.f64 841/108 x)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(*.f64 841/108 x)
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)

eval12.0ms (0.4%)

Compiler: Compiled 435 to 381 computations (12.4% saved)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Accuracy

100.0%

Counts

32 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	66.5%	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1)))) (/.f64 4 29))
▶	99.9%	(+.f64 (*.f64 841/108 x) (/.f64 4 29))
▶	68.5%	(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 4 29))

Compiler

Compiled 64 to 57 computations (10.9% saved)

localize347.0ms (11.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 841/108 x)
✓	99.9%	(sqrt.f64 (*.f64 841/108 x))
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
✓	99.9%	(*.f64 841/108 x)
✓	99.9%	(.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (*.f64 841/108 x) 1))
✓	85.2%	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
✓	76.5%	(-.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 1) 3) 1)
✓	99.9%	(*.f64 841/108 x)
✓	99.9%	(*.f64 (pow.f64 x 3) 594823321/1259712)
✓	67.8%	(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))

Compiler

Compiled 214 to 182 computations (15% saved)

series20.0ms (0.7%)

Counts

10 → 60

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
2.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) 594823321/1259712)
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 594823321/1259712)

rewrite170.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1001×	`log1p-expm1-u`
545×	`expm1-log1p-u`
462×	`log1p-udef`
460×	`expm1-udef`
214×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	212
1	365	190
2	4859	190

Stop Event

1×	node limit

Counts

10 → 265

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(*.f64 (pow.f64 x 3) 594823321/1259712)
(*.f64 841/108 x)
(-.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 1) 3) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1))))
(.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 841/108 x)

Outputs
(-.f64 (fma.f64 x 841/108 1) 1)
(*.f64 x 841/108)
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(.f64 1 (.f64 x 841/108))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 594823321/1259712) x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (.f64 (cbrt.f64 (.f64 x 841/108)) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 x 841/108) 1/4) (.f64 (pow.f64 (.f64 x 841/108) 1/4) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 1 1/3) (.f64 x 841/108))
(.f64 (pow.f64 (.f64 (pow.f64 x 2) 707281/11664) 1/3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 841/108)) x)
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (pow.f64 (.f64 x 841/108) 1/4)) (pow.f64 (*.f64 x 841/108) 1/4))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 x 841/108))) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 841/108)) (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 6)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
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(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (fma.f64 x 841/108 1) 1)
(*.f64 x 841/108)
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(.f64 1 (.f64 x 841/108))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 594823321/1259712) x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (.f64 (cbrt.f64 (.f64 x 841/108)) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 x 841/108) 1/4) (.f64 (pow.f64 (.f64 x 841/108) 1/4) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 1 1/3) (.f64 x 841/108))
(.f64 (pow.f64 (.f64 (pow.f64 x 2) 707281/11664) 1/3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 841/108)) x)
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (pow.f64 (.f64 x 841/108) 1/4)) (pow.f64 (*.f64 x 841/108) 1/4))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 x 841/108))) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 841/108)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x 841/108)))) 1)
(.f64 1 (sqrt.f64 (.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) 1)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x 841/108))) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (cbrt.f64 (.f64 x 841/108)) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 594823321/1259712)))
(.f64 (pow.f64 (.f64 x 841/108) 1/4) (pow.f64 (*.f64 x 841/108) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x 841/108)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/6)
(pow.f64 (*.f64 x 841/108) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x 841/108)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 841/108)))))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 841/108))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x 841/108))))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 841/108))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 841/108))))
(-.f64 (fma.f64 x 841/108 1) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))

simplify140.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1782×	`times-frac`
800×	`log-prod`
770×	`fma-neg`
592×	`associate-r`
590×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	10513
1	1016	8866
2	4102	8804

Stop Event

1×	node limit

Counts

325 → 271

Calls

Call 1

Inputs
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 841/36 x)
(+.f64 (.f64 841/36 x) (.f64 707281/3888 (pow.f64 x 2)))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 707281/3888 (pow.f64 x 2)) (.f64 594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 707281/3888 (pow.f64 x 2)) (.f64 594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
1
(+.f64 1 (*.f64 841/54 x))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(*.f64 707281/11664 (pow.f64 x 2))
(+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(*.f64 707281/11664 (pow.f64 x 2))
(+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(-.f64 (fma.f64 x 841/108 1) 1)
(*.f64 x 841/108)
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(.f64 1 (.f64 x 841/108))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 594823321/1259712) x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (.f64 (cbrt.f64 (.f64 x 841/108)) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 594823321/1259712)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 x 841/108) 1/4) (.f64 (pow.f64 (.f64 x 841/108) 1/4) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (pow.f64 1 1/3) (.f64 x 841/108))
(.f64 (pow.f64 (.f64 (pow.f64 x 2) 707281/11664) 1/3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 841/108)) x)
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (pow.f64 (.f64 x 841/108) 1/4)) (pow.f64 (*.f64 x 841/108) 1/4))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 x 841/108))) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 841/108)) (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 6)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(-.f64 (fma.f64 x 841/108 1) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)
(+.f64 -1 (pow.f64 (fma.f64 x 841/108 1) 3))
(*.f64 1 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 9) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) -1) (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3/2) 1) (-.f64 (pow.f64 (fma.f64 x 841/108 1) 3/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3))) (+.f64 (pow.f64 (fma.f64 x 841/108 1) 9) -1)))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3)) (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 9) -1) (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 9) -1) (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) (-.f64 1 (*.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) -1) (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) -1) (-.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 9) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 6) -1)) (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3))))
(pow.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1) 3))
(expm1.f64 (.f64 3 (log1p.f64 (.f64 x 841/108))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)) 1))
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(fma.f64 1 (pow.f64 (fma.f64 x 841/108 1) 3) -1)
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(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 841/108))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 841/108))))
(-.f64 (fma.f64 x 841/108 1) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))

Outputs
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 x (cbrt.f64 594823321/1259712))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(neg.f64 (*.f64 x (cbrt.f64 -594823321/1259712)))
(*.f64 (cbrt.f64 -594823321/1259712) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(neg.f64 (*.f64 x (cbrt.f64 -594823321/1259712)))
(*.f64 (cbrt.f64 -594823321/1259712) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(neg.f64 (*.f64 x (cbrt.f64 -594823321/1259712)))
(*.f64 (cbrt.f64 -594823321/1259712) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -594823321/1259712)))
(.f64 -1 (.f64 x (cbrt.f64 -594823321/1259712)))
(neg.f64 (*.f64 x (cbrt.f64 -594823321/1259712)))
(*.f64 (cbrt.f64 -594823321/1259712) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 841/36 x)
(*.f64 x 841/36)
(+.f64 (.f64 841/36 x) (.f64 707281/3888 (pow.f64 x 2)))
(fma.f64 841/36 x (*.f64 707281/3888 (pow.f64 x 2)))
(fma.f64 x 841/36 (*.f64 707281/3888 (pow.f64 x 2)))
(fma.f64 707281/3888 (pow.f64 x 2) (*.f64 x 841/36))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(+.f64 (.f64 707281/3888 (pow.f64 x 2)) (.f64 594823321/1259712 (pow.f64 x 3)))
(fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3)))
(fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2)))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(+.f64 (.f64 707281/3888 (pow.f64 x 2)) (.f64 594823321/1259712 (pow.f64 x 3)))
(fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3)))
(fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2)))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(+.f64 (.f64 841/36 x) (+.f64 (.f64 707281/3888 (pow.f64 x 2)) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 841/36 x (fma.f64 707281/3888 (pow.f64 x 2) (*.f64 594823321/1259712 (pow.f64 x 3))))
(fma.f64 x 841/36 (fma.f64 594823321/1259712 (pow.f64 x 3) (*.f64 707281/3888 (pow.f64 x 2))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
1
(+.f64 1 (*.f64 841/54 x))
(+.f64 1 (*.f64 x 841/54))
(fma.f64 x 841/54 1)
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 707281/11664)
(+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2)))
(fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664))
(fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 707281/11664)
(+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2)))
(fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664))
(fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(+.f64 1 (+.f64 (.f64 841/54 x) (.f64 707281/11664 (pow.f64 x 2))))
(+.f64 1 (fma.f64 841/54 x (*.f64 (pow.f64 x 2) 707281/11664)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 707281/11664 (*.f64 x 841/54)))
(-.f64 (fma.f64 x 841/108 1) 1)
(+.f64 (fma.f64 x 841/108 1) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (.f64 x 841/108) 1)
(*.f64 x 841/108)
(.f64 1 (.f64 x 841/108))
(*.f64 x 841/108)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 x (cbrt.f64 594823321/1259712))
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 x 841/108)
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108)))))
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (.f64 (cbrt.f64 (.f64 x 841/108)) 1))
(*.f64 x 841/108)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cbrt.f64 594823321/1259712)))
(*.f64 x (cbrt.f64 594823321/1259712))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(*.f64 x 841/108)
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (*.f64 (sqrt.f64 841/108) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 594823321/1259712)))
(*.f64 x (cbrt.f64 594823321/1259712))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(*.f64 x 841/108)
(.f64 (pow.f64 (.f64 x 841/108) 1/4) (.f64 (pow.f64 (.f64 x 841/108) 1/4) (sqrt.f64 (*.f64 x 841/108))))
(*.f64 x 841/108)
(.f64 (pow.f64 1 1/3) (.f64 x 841/108))
(*.f64 x 841/108)
(.f64 (pow.f64 (.f64 (pow.f64 x 2) 707281/11664) 1/3) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (cbrt.f64 (.f64 x 841/108)) (cbrt.f64 (*.f64 (pow.f64 x 2) 707281/11664)))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 x 841/108)
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 841/108)) x)
(*.f64 x 841/108)
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (pow.f64 (.f64 x 841/108) 1/4)) (pow.f64 (*.f64 x 841/108) 1/4))
(*.f64 x 841/108)
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x 841/108)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x 841/108)
(.f64 (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 x 841/108))) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 (sqrt.f64 (.f64 x 841/108)) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108)))))
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 841/108)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 841/108) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (*.f64 (sqrt.f64 841/108) (sqrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(*.f64 x 841/108)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 x 841/108)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 x 841/108)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 x 841/108)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 x 841/108))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 x 841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 6)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3) 1/3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 2)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(fabs.f64 (pow.f64 (*.f64 x 841/108) 3))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(-.f64 (fma.f64 x 841/108 1) 1)
(+.f64 (fma.f64 x 841/108 1) -1)
(+.f64 (*.f64 x 841/108) 0)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(*.f64 x 841/108)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 x 841/108)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 x 841/108)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 x 841/108)
(pow.f64 (*.f64 (pow.f64 x 2) 707281/11664) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 x 841/108))
(sqrt.f64 (*.f64 (pow.f64 x 2) 707281/11664))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 x 841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 x 841/108)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1)
(+.f64 -1 (pow.f64 (fma.f64 x 841/108 1) 3))
(+.f64 -1 (pow.f64 (fma.f64 x 841/108 1) 3))
(*.f64 1 (+.f64 (pow.f64 (fma.f64 x 841/108 1) 3) -1))
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(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 x 841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 x 841/108)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)

eval163.0ms (5.5%)

Compiler: Compiled 7914 to 6931 computations (12.4% saved)

prune37.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	277	3	280

Accuracy

100.0%

Counts

280 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1)))) (/.f64 4 29))
▶	99.5%	(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) (/.f64 4 29))

Status

Accuracy

Program

✓

66.5%

(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 841/108 x) 1) (+.f64 (*.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1)))) (/.f64 4 29))

▶

99.5%

(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))

✓

99.9%

(+.f64 (*.f64 841/108 x) (/.f64 4 29))

Compiler

Compiled 53 to 47 computations (11.3% saved)

localize72.0ms (2.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
✓	98.4%	(pow.f64 (sqrt.f64 841/108) 2)

Compiler

Compiled 32 to 29 computations (9.4% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`associate-r`
734×	`associate-l`
406×	`unpow-prod-down`
328×	`cbrt-prod`
316×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	96	11
2	804	11

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 841/108) 2)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)

Outputs
841/108
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 841/108 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) 1) (+.f64 (+.f64 1 (.f64 841/108 x)) 1))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 707281/11664 (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (*.f64 707281/11664 (pow.f64 x 2)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1568×	`times-frac`
738×	`distribute-lft-out`
734×	`unswap-sqr`
642×	`fma-neg`
588×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	899
1	215	551
2	580	540
3	2815	540

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

Inputs
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
841/108
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 841/108 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) 1) (+.f64 (+.f64 1 (.f64 841/108 x)) 1))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 707281/11664 (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (*.f64 707281/11664 (pow.f64 x 2)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

Outputs
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
841/108
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(+.f64 0 (*.f64 841/108 x))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 841/108 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 x 841/108)) 3) -1) (fma.f64 (+.f64 1 (.f64 x 841/108)) (+.f64 1 (.f64 x 841/108)) (+.f64 1 (+.f64 1 (.f64 x 841/108)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 841/108 1) 3)) (fma.f64 (fma.f64 x 841/108 1) (fma.f64 x 841/108 1) (+.f64 2 (*.f64 x 841/108))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x 841/108 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 841/108 1) (fma.f64 x 841/108 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) 1) (+.f64 (+.f64 1 (.f64 841/108 x)) 1))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (*.f64 707281/11664 (pow.f64 x 2)) 1/2)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 841/108))) 2)) (cbrt.f64 (log.f64 (.f64 x 841/108))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 841/108)))) (sqrt.f64 (log.f64 (.f64 x 841/108))))
(sqrt.f64 (*.f64 707281/11664 (pow.f64 x 2)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(fabs.f64 (*.f64 841/108 x))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 x 841/108)

eval10.0ms (0.3%)

Compiler: Compiled 461 to 407 computations (11.7% saved)

prune15.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

66.5%

(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 841/108 x) 1) (+.f64 (*.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1)))) (/.f64 4 29))

✓

99.5%

(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))

✓

99.9%

(+.f64 (*.f64 841/108 x) (/.f64 4 29))

Compiler

Compiled 133 to 118 computations (11.3% saved)

regimes28.0ms (0.9%)

Accuracy

Total -42.7b remaining (-68294.9%)

Threshold costs -42.7b (-68294.9%)

Counts

6 → 1

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 841/108 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 841/108 x) 1) (+.f64 (.f64 841/108 x) 1)) (+.f64 1 (+.f64 (*.f64 841/108 x) 1)))) (/.f64 4 29))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 4 29))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

Outputs
(+.f64 (*.f64 841/108 x) (/.f64 4 29))

Calls

3 calls:

18.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
5.0ms	(*.f64 (/.f64 841 108) x)
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
99.9%	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	14	16

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 841/108 x) (/.f64 4 29))
(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 6 to 5 computations (16.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (0.7%)

Compiler: Compiled 32 to 28 computations (12.5% saved)

analyze0.0ms (0%)

sample1.3s (44.7%)

preprocess139.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (1.4%)

series1.0ms (0%)

rewrite259.0ms (8.7%)

simplify46.0ms (1.5%)

eval12.0ms (0.4%)

prune6.0ms (0.2%)

localize347.0ms (11.6%)

series20.0ms (0.7%)

rewrite170.0ms (5.7%)

simplify140.0ms (4.7%)

eval163.0ms (5.5%)

prune37.0ms (1.3%)

localize72.0ms (2.4%)

series2.0ms (0.1%)

rewrite66.0ms (2.2%)

simplify51.0ms (1.7%)

eval10.0ms (0.3%)

prune15.0ms (0.5%)

regimes28.0ms (0.9%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (0.7%)

Profiling