Metrics for Jmat.Real.lambertw, estimator

analyze2.0ms (0.1%)

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
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-log, time spent: 1.0ms, 107.0% of total-time

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

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

sample1.2s (43.3%)

Results

1.2s	8255×	256	valid
1.0ms	11×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 587.0ms

Operation ival-log, time spent: 515.0ms, 88.0% of total-time

Operation ival-sub, time spent: 62.0ms, 11.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

Bogosity

preprocess190.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-define`
132×	`fma-neg`
58×	`sub-neg`
42×	`unsub-neg`
38×	`associate--r+`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
-	-	`x`
-	-	`(log.f64 x)`
-	-	`(log.f64 (log.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	120
1	24	120
2	46	116
3	87	116
4	153	116
5	242	116
6	310	116
7	365	116
8	417	116
9	452	116
10	478	116
11	480	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))
(-.f64 (log.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))

Compiler

Compiled 35 to 14 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-log, time spent: 24.0ms, 87.0% of total-time

Operation ival-sub, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize104.0ms (3.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (log.f64 x))
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-log, time spent: 14.0ms, 90.0% of total-time

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

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

series129.0ms (4.6%)

Counts

2 → 16

Calls

Call 1

Inputs
#<alt (-.f64 (log.f64 x) (log.f64 (log.f64 x)))>
#<alt (log.f64 (log.f64 x))>

Outputs
#<alt (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(- (log x) (log (log x)))
49.0ms	x	@	-inf	(- (log x) (log (log x)))
29.0ms	x	@	inf	(- (log x) (log (log x)))
0.0ms	x	@	-inf	(log (log x))
0.0ms	x	@	inf	(log (log x))

rewrite287.0ms (10.2%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`unpow-prod-down`
718×	`prod-diff`
463×	`log1p-expm1-u`
463×	`expm1-log1p-u`
436×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	91	33
2	1229	33

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))

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

simplify147.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-define`
894×	`distribute-lft-neg-in`
604×	`unswap-sqr`
530×	`div-sub`
424×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	7629
1	606	6156
2	1516	5126
3	5423	5122

Stop Event

1×	node limit

Counts

158 → 176

Calls

Call 1

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

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

eval39.0ms (1.4%)

Compiler: Compiled 2660 to 896 computations (66.3% saved)

prune20.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	1	177

Accuracy

100.0%

Counts

177 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize37.0ms (1.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 x (log.f64 x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-log, time spent: 12.0ms, 83.0% of total-time

Operation ival-div, time spent: 2.0ms, 14.0% of total-time

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

series15.0ms (0.5%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (/.f64 x (log.f64 x))>

Outputs
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/ x (log x))
5.0ms	x	@	-inf	(/ x (log x))
1.0ms	x	@	0	(/ x (log x))

rewrite70.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down`
362×	`cbrt-prod`
360×	`log-prod`
323×	`log1p-expm1-u`
323×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	67	17
2	877	17

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

Inputs
(/.f64 x (log.f64 x))

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

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

792×	`distribute-lft-neg-out`
690×	`associate-/r/`
610×	`associate-/l/`
564×	`distribute-rgt-neg-out`
516×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2734
1	390	2271
2	940	2235
3	3234	2221

Stop Event

1×	node limit

Counts

79 → 102

Calls

Call 1

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

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

eval77.0ms (2.7%)

Compiler: Compiled 1234 to 577 computations (53.2% saved)

prune17.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	1	103

Accuracy

100.0%

Counts

103 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes9.0ms (0.3%)

Accuracy

Total -0.2b remaining (-∞%)

Threshold costs -0.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(log.f64 (/.f64 x (log.f64 x)))

Calls

3 calls:

3.0ms	(log.f64 x)
3.0ms	x
3.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`(log.f64 x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))

Outputs
(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness305.0ms (10.8%)

Rules

1140×	`fma-define`
894×	`distribute-lft-neg-in`
750×	`unpow-prod-down`
718×	`prod-diff`
604×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	91	33
2	1229	33
0	331	7629
1	606	6156
2	1516	5126
3	5423	5122

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 303 to 82 computations (72.9% saved)

end0.0ms (0%)

preprocess72.0ms (2.6%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

Iter	Nodes	Cost
0	14	120
1	24	120
2	46	116
3	87	116
4	153	116
5	242	116
6	310	116
7	365	116
8	417	116
9	452	116
10	478	116
11	480	116

Iter	Nodes	Cost
0	14	120
1	24	120
2	46	116
3	87	116
4	153	116
5	242	116
6	310	116
7	365	116
8	417	116
9	452	116
10	478	116
11	480	116

analyze2.0ms (0.1%)

sample1.2s (43.3%)

preprocess190.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize104.0ms (3.7%)

series129.0ms (4.6%)

rewrite287.0ms (10.2%)

simplify147.0ms (5.2%)

eval39.0ms (1.4%)

prune20.0ms (0.7%)

localize37.0ms (1.3%)

series15.0ms (0.5%)

rewrite70.0ms (2.5%)

simplify79.0ms (2.8%)

eval77.0ms (2.7%)

prune17.0ms (0.6%)

regimes9.0ms (0.3%)

simplify4.0ms (0.1%)

soundness305.0ms (10.8%)

end0.0ms (0%)

preprocess72.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	14	120
1	24	120
2	46	116
3	87	116
4	153	116
5	242	116
6	310	116
7	365	116
8	417	116
9	452	116
10	478	116
11	480	116