Details

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)

sample924.0ms (51.1%)

Results

909.0ms	8256×	body	256	valid
3.0ms	11×	body	256	invalid

Bogosity

preprocess157.0ms (8.7%)

Algorithm

2×	egg-herbie

Rules

1883×	`fma-neg_binary64`
922×	`unsub-neg_binary64`
680×	`fma-def_binary64`
602×	`associate-+l+_binary64`
369×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	19	10
4	28	10
5	45	10
6	83	10
7	125	10
8	201	10
9	395	10
10	830	10
11	2198	10
12	4268	10
13	4758	10
14	4932	10
15	4987	10
16	4997	10
17	4997	10
18	6109	10
19	6117	10
20	6169	10
21	6169	10
22	7382	10
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify143.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1883×	`fma-neg_binary64`
922×	`unsub-neg_binary64`
680×	`fma-def_binary64`
602×	`associate-+l+_binary64`
369×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	19	10
4	28	10
5	45	10
6	83	10
7	125	10
8	201	10
9	395	10
10	830	10
11	2198	10
12	4268	10
13	4758	10
14	4932	10
15	4987	10
16	4997	10
17	4997	10
18	6109	10
19	6117	10
20	6169	10
21	6169	10
22	7382	10

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (log.f64 x))
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 13 to 4 computations (69.2% saved)

series109.0ms (6%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
42.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
20.0ms	x	@	inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms	x	@	0	(log.f64 (log.f64 x))
0.0ms	x	@	-inf	(log.f64 (log.f64 x))

rewrite44.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	107	13
2	1490	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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 (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x))))))))

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
612×	`hypot-def_binary64`
314×	`unswap-sqr_binary64`
274×	`distribute-rgt-in_binary64`
254×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1245
1	313	829
2	1223	829
3	7344	829

Stop Event

1×	node limit

Counts

69 → 71

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)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.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 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(.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 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))) (-.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)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))
(/.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 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))
(/.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 (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(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)))))
(fma.f64 1 (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)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 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 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))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(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))))

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

eval57.0ms (3.2%)

Compiler: Compiled 904 to 376 computations (58.4% saved)

prune12.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	1	72

Error

Counts

72 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (log.f64 x))

Compiler

Compiled 13 to 4 computations (69.2% saved)

series13.0ms (0.7%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/.f64 x (log.f64 x))
4.0ms	x	@	-inf	(/.f64 x (log.f64 x))
1.0ms	x	@	0	(/.f64 x (log.f64 x))

rewrite40.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
415×	`*-un-lft-identity_binary64`
408×	`add-log-exp_binary64`
408×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	82	6
2	1091	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log.f64 x))))))))

simplify38.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

965×	`fma-def_binary64`
333×	`log-prod_binary64`
249×	`log-div_binary64`
200×	`fma-neg_binary64`
189×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	454
1	216	289
2	684	275
3	3419	275

Stop Event

1×	node limit

Counts

41 → 41

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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 0 (/.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))))) (log.f64 (cbrt.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 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.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 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (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))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 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))))

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

eval7.0ms (0.4%)

Compiler: Compiled 441 to 193 computations (56.2% saved)

prune19.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Error

Counts

42 → 1

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.5%)

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

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
0b	1	`(log.f64 x)`

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

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)

soundness146.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
612×	`hypot-def_binary64`
314×	`unswap-sqr_binary64`
274×	`distribute-rgt-in_binary64`
254×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1245
1	313	829
2	1223	829
3	7344	829

Stop Event

1×	node limit

Compiler

Compiled 85 to 67 computations (21.2% saved)

end12.0ms (0.7%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Details

analyze2.0ms (0.1%)

sample924.0ms (51.1%)

preprocess157.0ms (8.7%)

simplify143.0ms (7.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series109.0ms (6%)

rewrite44.0ms (2.4%)

simplify58.0ms (3.2%)

eval57.0ms (3.2%)

prune12.0ms (0.7%)

localize6.0ms (0.3%)

series13.0ms (0.7%)

rewrite40.0ms (2.2%)

simplify38.0ms (2.1%)

eval7.0ms (0.4%)

prune19.0ms (1.1%)

regimes9.0ms (0.5%)

simplify4.0ms (0.2%)

soundness146.0ms (8.1%)

end12.0ms (0.7%)

Profiling