Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.5s (17.2%)

Results

1.5s	8256×	body	256	valid
1.0ms	10×	body	256	invalid

preprocess35.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(*.f64 x (log.f64 x))

Outputs
(*.f64 x (log.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))

Outputs
(*.f64 x (log.f64 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% 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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series306.0ms (3.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
274.0ms	x	@	0	(*.f64 x (log.f64 x))
22.0ms	x	@	-inf	(*.f64 x (log.f64 x))
9.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
332×	`add-sqr-sqrt_binary64`
327×	`*-un-lft-identity_binary64`
319×	`add-log-exp_binary64`
319×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	76	6
2	887	6

Stop Event

1×	node limit

Counts

1 → 23

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

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

simplify173.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1961×	`fma-def_binary64`
961×	`fma-neg_binary64`
610×	`distribute-rgt-in_binary64`
511×	`distribute-lft-in_binary64`
249×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	33	72
2	60	72
3	134	72
4	275	72
5	704	72
6	1985	72
7	3039	72
8	3407	72
9	3573	72
10	3583	72
11	3585	72
12	4846	72
13	5508	72
14	5640	72
15	5676	72
16	5690	72
17	5694	72
18	5694	72
19	5718	72

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))

eval7.0ms (0.1%)

Compiler: Compiled 243 to 110 computations (54.7% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

0.2b

Counts

28 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
✓	0.3b	(*.f64 x (log.f64 x))
▶	41.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
▶	60.8b	(log.f64 (pow.f64 x x))
▶	31.0b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 135 to 89 computations (34.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 x))
✓	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series8.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 x (log.f64 x)))
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`pow1_binary64`
510×	`add-sqr-sqrt_binary64`
493×	`add-log-exp_binary64`
493×	`log1p-expm1-u_binary64`
493×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	145	14
2	1410	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(cbrt.f64 (*.f64 x (log.f64 x)))

Outputs
((#(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 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (log.f64 x)) 1)))) (#(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 1 (.f64 x (log.f64 x)))))) (#(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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (.f64 (cbrt.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 (cbrt.f64 x) (.f64 (cbrt.f64 (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 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (pow.f64 (.f64 x (log.f64 x)) 1/6)) (pow.f64 (.f64 x (log.f64 x)) 1/6))))) (#(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 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) (pow.f64 (.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (log.f64 x)))))))))

Outputs

((#(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 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(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 1 (*.f64 x (log.f64 x)))))) (#(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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.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 (cbrt.f64 x) (*.f64 (cbrt.f64 (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 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(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 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(log.f64 (pow.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series90.0ms (1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
70.0ms	x	@	-inf	(log.f64 (pow.f64 x x))
17.0ms	x	@	inf	(log.f64 (pow.f64 x x))
3.0ms	x	@	0	(log.f64 (pow.f64 x x))

rewrite155.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`pow1_binary64`
365×	`add-sqr-sqrt_binary64`
358×	`*-un-lft-identity_binary64`
351×	`add-log-exp_binary64`
351×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	82	6
2	977	6

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(log.f64 (pow.f64 x x))

Outputs

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

895×	`distribute-rgt-in_binary64`
879×	`distribute-lft-in_binary64`
538×	`*-commutative_binary64`
498×	`associate-+l+_binary64`
363×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	72
1	130	72
2	469	72
3	2766	72

Stop Event

1×	node limit

Counts

56 → 47

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(+.f64 (.f64 (log.f64 x) x) (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (.f64 (log.f64 x) x) (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (.f64 1/24 (.f64 (+.f64 (.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4))))))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(*.f64 x (log.f64 x))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (.f64 (log.f64 x) x) (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(*.f64 x (log.f64 x))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (.f64 1/24 (.f64 (+.f64 (.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4))))))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
	0.3b	(*.f64 x (log.f64 x))
✓	40.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (log.f64 x)) 3)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (log.f64 x)) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 x (log.f64 x)) 3)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

rewrite178.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	15
2	1469	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (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 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

449×	`distribute-rgt-neg-in_binary64`
413×	`distribute-rgt-in_binary64`
406×	`associate-+l+_binary64`
390×	`distribute-lft-in_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	82	276
2	291	276
3	1460	244
4	4439	244

Stop Event

1×	node limit

Counts

78 → 59

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (log.f64 x)))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 x (log.f64 x)))

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`pow1_binary64`
480×	`add-sqr-sqrt_binary64`
462×	`add-log-exp_binary64`
462×	`log1p-expm1-u_binary64`
462×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1332	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (*.f64 x (log.f64 x)))

Outputs

((#(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 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(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 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (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 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(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 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.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 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

50 → 50

Calls

Call 1

Inputs

Outputs

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3)
	0.3b	(*.f64 x (log.f64 x))
✓	1.9b	(-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1)
✓	19.5b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))

Compiler

Compiled 124 to 63 computations (49.2% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
2.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
2.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1)
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1)

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
479×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
216×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	339	59
2	4644	59

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))

(-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1)

(pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))) (neg.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 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(*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 2)) (pow.f64 (fma.f64 x (log.f64 x) 1) 2)) (-.f64 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))) (+.f64 1 (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (-.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 2))) (-.f64 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)) (hypot.f64 1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)) -1)))))

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

647×	`distribute-rgt-in_binary64`
638×	`distribute-lft-in_binary64`
474×	`times-frac_binary64`
295×	`associate-/l*_binary64`
248×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1967
1	516	1741
2	2153	1566

Stop Event

1×	node limit

Counts

180 → 194

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))) (pow.f64 x 3))))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))))) (.f64 1/3 (.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2)))))) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))) (pow.f64 x 3)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 3 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 3 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 4))) (.f64 3 (/.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 3 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 3 (+.f64 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)) (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4)))) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
1
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) 1)
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 1 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 1 (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x))))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))))

Outputs
(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
(.f64 1/3 (.f64 x (*.f64 3 (log.f64 x))))
(.f64 x (.f64 1 (log.f64 x)))
(*.f64 x (log.f64 x))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)))
(fma.f64 1/3 (.f64 x (.f64 3 (log.f64 x))) (.f64 (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))) (.f64 x x)))
(fma.f64 (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 x x) (.f64 x (.f64 1 (log.f64 x))))
(.f64 x (+.f64 (log.f64 x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) x)))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))) (pow.f64 x 3))))
(fma.f64 1/3 (.f64 x (.f64 3 (log.f64 x))) (fma.f64 (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 1/9 (.f64 (.f64 3 (log.f64 x)) (pow.f64 (log.f64 x) 2)) (.f64 1/3 (.f64 (.f64 3 (log.f64 x)) (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))))))) (pow.f64 x 3))))
(fma.f64 (.f64 1 (log.f64 x)) x (fma.f64 (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 (.f64 1 (log.f64 x)) (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))))
(fma.f64 (log.f64 x) x (.f64 (.f64 x x) (+.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))) x))))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))))) (.f64 1/3 (.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2)))))) (pow.f64 x 4))) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))) (pow.f64 x 3)))))
(fma.f64 1/3 (.f64 x (.f64 3 (log.f64 x))) (fma.f64 -1 (.f64 (.f64 1/3 (+.f64 (.f64 (.f64 3 (log.f64 x)) (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 1/9 (.f64 (.f64 3 (log.f64 x)) (pow.f64 (log.f64 x) 2)) (.f64 1/3 (.f64 (.f64 3 (log.f64 x)) (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2)))))))) (.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2)))))) (pow.f64 x 4)) (fma.f64 (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 1/9 (.f64 (.f64 3 (log.f64 x)) (pow.f64 (log.f64 x) 2)) (.f64 1/3 (.f64 (.f64 3 (log.f64 x)) (-.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 1/9 (pow.f64 (*.f64 3 (log.f64 x)) 2))))))) (pow.f64 x 3)))))
(fma.f64 (.f64 1 (log.f64 x)) x (fma.f64 (.f64 -1/3 (fma.f64 (.f64 (log.f64 x) 3) (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 (.f64 1 (log.f64 x)) (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9))))) (pow.f64 x 4) (fma.f64 (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 (.f64 1 (log.f64 x)) (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3)))))
(-.f64 (fma.f64 (log.f64 x) x (.f64 (.f64 x x) (+.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))) x)))) (.f64 (fma.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 4) (.f64 (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2))) (.f64 (log.f64 x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))))) (pow.f64 x 4)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 1/3 (.f64 x (*.f64 3 (log.f64 x))))
(.f64 x (.f64 1 (log.f64 x)))
(*.f64 x (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) 3) (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 (log.f64 x) x 3) (/.f64 (*.f64 (log.f64 x) -3) (neg.f64 (log.f64 x))))
(+.f64 (fma.f64 (log.f64 x) x 3) (*.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 3 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) 3) (neg.f64 (.f64 (/.f64 (-.f64 3 (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x))))) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) x)))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) x 3) (-.f64 (/.f64 (.f64 (.f64 (log.f64 x) -3) (-.f64 3 (/.f64 (.f64 (log.f64 x) -3) (neg.f64 (log.f64 x))))) (.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 (*.f64 (log.f64 x) -3) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) x 3) (fma.f64 (/.f64 (+.f64 3 (.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x)))) (pow.f64 (log.f64 x) 2)) (/.f64 (log.f64 x) (/.f64 x -3)) (.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 3 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 4))) (.f64 3 (/.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) 3) (fma.f64 -1 (.f64 (/.f64 (-.f64 3 (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x))))) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) x)) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (-.f64 3 (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 4) (pow.f64 (.f64 (neg.f64 (log.f64 x)) -3) 2))) (.f64 3 (/.f64 (-.f64 3 (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x))))) (pow.f64 (neg.f64 (log.f64 x)) 2)))) (.f64 x x))))) (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) x 3) (-.f64 (-.f64 (/.f64 (.f64 (.f64 (log.f64 x) -3) (-.f64 3 (/.f64 (.f64 (log.f64 x) -3) (neg.f64 (log.f64 x))))) (.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 (-.f64 (.f64 3 (/.f64 (-.f64 3 (/.f64 (.f64 (log.f64 x) -3) (neg.f64 (log.f64 x)))) (pow.f64 (log.f64 x) 2))) (.f64 (/.f64 (-.f64 3 (/.f64 (.f64 (log.f64 x) -3) (neg.f64 (log.f64 x)))) (pow.f64 (neg.f64 (log.f64 x)) 4)) (.f64 (pow.f64 (log.f64 x) 2) 9))) (.f64 x x))) (/.f64 (*.f64 (log.f64 x) -3) (neg.f64 (log.f64 x)))))
(+.f64 (.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x))) (-.f64 (fma.f64 (log.f64 x) x 3) (fma.f64 (/.f64 (+.f64 3 (.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x)))) (pow.f64 (log.f64 x) 2)) (/.f64 (.f64 (log.f64 x) 3) x) (/.f64 (.f64 (/.f64 (+.f64 3 (.f64 3 (/.f64 (neg.f64 (log.f64 x)) (log.f64 x)))) (pow.f64 (log.f64 x) 2)) (-.f64 3 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (pow.f64 (log.f64 x) 2) 9)))) (.f64 x x)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x 3) (neg.f64 (/.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 3 (/.f64 (.f64 (-.f64 3 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 (+.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x 3) (/.f64 (-.f64 3 (neg.f64 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)))) (neg.f64 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (/.f64 (+.f64 3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 x -3)) 3)))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (fma.f64 (/.f64 (-.f64 3 (/.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x) -3) 3) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3)))
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(+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3) (-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (/.f64 (-.f64 3 (/.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x) -3) 3)) (/.f64 (.f64 (/.f64 (-.f64 3 (/.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 3 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 9)))) (.f64 x x))))
(.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)
(.f64 x (.f64 3 (log.f64 x)))
(.f64 x (.f64 (log.f64 x) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))
(fma.f64 (.f64 3 (log.f64 x)) x (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x)))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2)))
(.f64 x (+.f64 (.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) x) (.f64 (log.f64 x) 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(fma.f64 (.f64 3 (log.f64 x)) x (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) (log.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(fma.f64 (.f64 3 (log.f64 x)) x (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) (log.f64 x)))))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)))
(fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (.f64 (.f64 x x) (.f64 3 (pow.f64 (neg.f64 (log.f64 x)) 2))))
(fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (*.f64 x x) 3) (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) (log.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(fma.f64 (.f64 3 (log.f64 x)) x (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) (log.f64 x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(fma.f64 (.f64 3 (log.f64 x)) x (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) (log.f64 x)))))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
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(fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (*.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) x) (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
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(fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(-.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
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(fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(-.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
(+.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (.f64 x (+.f64 (.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) x) (*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
1
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) 1)
(fma.f64 (*.f64 3 (log.f64 x)) x 1)
(fma.f64 x (*.f64 (log.f64 x) 3) 1)
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 1 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(+.f64 (fma.f64 (.f64 3 (log.f64 x)) x 1) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x)))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (.f64 (pow.f64 (log.f64 x) 2) 3) (*.f64 x x) 1))
(+.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x) (+.f64 1 (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (.f64 3 (log.f64 x)) x 1) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(+.f64 (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))) (fma.f64 x (.f64 (log.f64 x) 3) 1))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) (log.f64 x)))) (fma.f64 x (*.f64 (log.f64 x) 3) 1))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)))
(fma.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (.f64 (.f64 x x) (.f64 3 (pow.f64 (neg.f64 (log.f64 x)) 2))))
(fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (*.f64 x x) 3) (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) (log.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)))
(fma.f64 (.f64 3 (log.f64 x)) x (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(fma.f64 x (.f64 (log.f64 x) 3) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))))
(fma.f64 x (.f64 (log.f64 x) 3) (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) (log.f64 x)))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x))))
(+.f64 (fma.f64 (.f64 3 (log.f64 x)) x 1) (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 3 (pow.f64 (log.f64 x) 2)) (.f64 x x))))
(+.f64 (fma.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (log.f64 x) 2))) (fma.f64 x (.f64 (log.f64 x) 3) 1))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) (log.f64 x)))) (fma.f64 x (*.f64 (log.f64 x) 3) 1))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))
(fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (*.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) x) (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
(fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(-.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
(+.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (.f64 x (+.f64 (.f64 (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) x) (*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))))
(+.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (-.f64 1 (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3))))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) x) (.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (+.f64 1 (.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 -3 x))))

eval1.3s (15%)

Compiler: Compiled 16834 to 9570 computations (43.2% saved)

prune214.0ms (2.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	580	11	591
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	580	17	597

Error

0.0b

Counts

597 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
	31.1b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
▶	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.3b	(*.f64 x (log.f64 x))
✓	60.8b	(log.f64 (pow.f64 x x))
▶	1.3b	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
	22.1b	(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x))))) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	31.0b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	0.7b	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	41.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
▶	33.0b	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
	48.7b	(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2) (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
▶	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 486 to 300 computations (38.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 x) (sqrt.f64 x))
✓	0.4b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series5.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms	x	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`pow1_binary64`
500×	`add-sqr-sqrt_binary64`
485×	`add-log-exp_binary64`
485×	`log1p-expm1-u_binary64`
485×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	117	14
2	1381	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (log.f64 x) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(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 sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

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

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-neg_binary64`
504×	`unsub-neg_binary64`
401×	`fma-def_binary64`
372×	`distribute-rgt-neg-in_binary64`
297×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	72
1	49	72
2	135	72
3	439	72
4	1488	72
5	3397	72
6	6210	72
7	7527	72

Stop Event

1×	node limit

Counts

34 → 26

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))

localize31.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)
✓	0.3b	(+.f64 (*.f64 2 (log.f64 x)) (log.f64 x))
✓	0.6b	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
2.0ms	x	@	inf	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
2.0ms	x	@	0	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
1.0ms	x	@	-inf	(.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)
1.0ms	x	@	-inf	(+.f64 (*.f64 2 (log.f64 x)) (log.f64 x))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
869×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	194	21
2	2514	21

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 x))
(.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2) (cbrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 x) 3) (log.f64 x)) (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 x x))))) (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 x) (*.f64 (*.f64 (log.f64 x) 3) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (*.f64 2 (pow.f64 (log.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x) 3) (log.f64 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x x)) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (log.f64 x) 3) (log.f64 x))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (*.f64 x x)) 2)) (-.f64 (log.f64 x) (log.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) 2 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (*.f64 x x)) (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)) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x x))) 2) (cbrt.f64 (log.f64 (*.f64 x x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (*.f64 x x))) (sqrt.f64 (log.f64 (*.f64 x x))) (log.f64 x))))))

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-neg_binary64`
401×	`associate--l+_binary64`
350×	`distribute-rgt-in_binary64`
339×	`fma-def_binary64`
327×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	264
1	68	264
2	230	168
3	880	168
4	3850	168

Stop Event

1×	node limit

Counts

98 → 82

Calls

Call 1

Inputs
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)

Outputs
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))
(.f64 1/3 (.f64 x (*.f64 (neg.f64 (log.f64 x)) -3)))
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 (neg.f64 (log.f64 x)) -3)
(*.f64 (log.f64 x) 3)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(.f64 x (.f64 (neg.f64 (log.f64 x)) -3))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
✓	0.3b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 28 to 13 computations (53.6% saved)

series10.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
2.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
1.0ms	x	@	inf	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
588×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	160	26
2	1751	26

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.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 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 sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 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 cbrt.f64 (.f64 x (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))))))

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1961×	`fma-def_binary64`
961×	`fma-neg_binary64`
610×	`distribute-rgt-in_binary64`
511×	`distribute-lft-in_binary64`
249×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	33	72
2	60	72
3	134	72
4	275	72
5	704	72
6	1985	72
7	3039	72
8	3407	72
9	3573	72
10	3583	72
11	3585	72
12	4846	72
13	5508	72
14	5640	72
15	5676	72
16	5690	72
17	5694	72
18	5694	72
19	5718	72

Stop Event

1×	node limit

Counts

74 → 66

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (log.f64 x) 3))
	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(*.f64 (log.f64 x) 3)
✓	15.6b	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))

Compiler

Compiled 112 to 55 computations (50.9% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
2.0ms	x	@	inf	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) 3)
1.0ms	x	@	inf	(*.f64 (log.f64 x) 3)

rewrite111.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`log-prod_binary64`
384×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
203×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	322	47
2	4495	47

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

(/.f64 (*.f64 x (*.f64 (log.f64 x) 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))

(*.f64 (log.f64 x) 3)

(*.f64 x (*.f64 (log.f64 x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 x x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 x x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 x x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 x x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 x x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 (log.f64 x) 3) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 3) (*.f64 x (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) (*.f64 3 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x))) 2) (cbrt.f64 (/.f64 (*.f64 (log.f64 x) 3) (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 9)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (hypot.f64 (fma.f64 x (log.f64 x) 1) (sqrt.f64 (+.f64 (*.f64 x (log.f64 x)) 2)))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (hypot.f64 (fma.f64 x (log.f64 x) 1) (sqrt.f64 (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (log.f64 x)) -3) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 (*.f64 x (log.f64 x)) 2)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (sqrt.f64 x))) (log.f64 (*.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x 3))) (log.f64 (sqrt.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 x x) 1)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) 3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x x) 3)) (cbrt.f64 (pow.f64 (pow.f64 x x) 3)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x x) 3))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 x x) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 x x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 1))))))

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

607×	`times-frac_binary64`
582×	`fma-def_binary64`
507×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
409×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1163
1	408	1094
2	1627	980

Stop Event

1×	node limit

Counts

127 → 125

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (.f64 (log.f64 x) (pow.f64 x 2)))) (*.f64 (log.f64 x) x))
(+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 (log.f64 x) x) (.f64 -3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2) (log.f64 x))) (*.f64 1/9 (pow.f64 (log.f64 x) 3))) (pow.f64 x 3)))))
(+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 -3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2) (log.f64 x))) (.f64 1/9 (pow.f64 (log.f64 x) 3))) (pow.f64 x 3))) (.f64 -3 (.f64 (+.f64 (.f64 -1/27 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 3))) (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2) (log.f64 x))) (*.f64 1/9 (pow.f64 (log.f64 x) 3)))))) (pow.f64 x 4))))))
(/.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))
(-.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))) (.f64 3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))))
(-.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))) (.f64 3 (/.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (/.f64 1 x)) 5))) (pow.f64 x 3)))) (.f64 3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))))
(-.f64 (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 5))) (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (/.f64 1 x)) 5))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))) (.f64 3 (/.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -2 (log.f64 (/.f64 1 x)))) 2) (pow.f64 (log.f64 (/.f64 1 x)) 5))) (pow.f64 x 3))))) (.f64 3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))))
(/.f64 3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(-.f64 (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 9 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
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(-.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))) (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 -3 (/.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))) (pow.f64 x 3))))) (.f64 9 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (.f64 (log.f64 x) (pow.f64 x 2)))) (*.f64 (log.f64 x) x))
(fma.f64 -1/3 (.f64 (.f64 (log.f64 x) 3) (.f64 (log.f64 x) (.f64 x x))) (*.f64 x (log.f64 x)))
(fma.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) (.f64 x x)) (*.f64 x (log.f64 x)))
(.f64 (log.f64 x) (+.f64 x (.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))
(+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 (log.f64 x) x) (.f64 -3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2) (log.f64 x))) (*.f64 1/9 (pow.f64 (log.f64 x) 3))) (pow.f64 x 3)))))
(fma.f64 -1/3 (.f64 (.f64 (log.f64 x) 3) (.f64 (log.f64 x) (.f64 x x))) (fma.f64 (log.f64 x) x (.f64 -3 (.f64 (fma.f64 -1/27 (.f64 (log.f64 x) (pow.f64 (.f64 (log.f64 x) 3) 2)) (*.f64 1/9 (pow.f64 (log.f64 x) 3))) (pow.f64 x 3)))))
(fma.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) (.f64 x x)) (fma.f64 -3 (.f64 (fma.f64 1/9 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 (.f64 (log.f64 x) 3) 2) (.f64 (log.f64 x) -1/27))) (pow.f64 x 3)) (*.f64 x (log.f64 x))))
(fma.f64 -3 (.f64 (fma.f64 1/9 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 (.f64 (log.f64 x) 3) 2) (.f64 (log.f64 x) -1/27))) (pow.f64 x 3)) (.f64 (log.f64 x) (+.f64 x (.f64 (*.f64 x x) (neg.f64 (log.f64 x))))))
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(/.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 -3 (*.f64 x (neg.f64 (log.f64 x))))
(/.f64 (/.f64 3 (log.f64 x)) x)
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(/.f64 3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(/.f64 3 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
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(+.f64 (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (/.f64 -9 (*.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 -3 (/.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))) (pow.f64 x 3)))) (.f64 9 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (.f64 -3 (/.f64 (fma.f64 3 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 4)) (/.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (pow.f64 x 3))) (/.f64 9 (.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(+.f64 (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 -3 (/.f64 (fma.f64 3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 4) -3)) (/.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 3)) (/.f64 -9 (.f64 x (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))))
(+.f64 (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (/.f64 (fma.f64 -3 (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 3)) (/.f64 (/.f64 -9 (*.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))) (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 -3 (/.f64 (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 4))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))) (pow.f64 x 3))))) (.f64 9 (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 3 (/.f64 (+.f64 (/.f64 9 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 4)) (neg.f64 (/.f64 (fma.f64 3 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 4)) (/.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3))))) (pow.f64 x 4)) (+.f64 (/.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (.f64 -3 (/.f64 (fma.f64 3 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 4)) (/.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (pow.f64 x 3))))) (/.f64 9 (.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(+.f64 (fma.f64 3 (/.f64 (-.f64 (/.f64 9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 4)) (/.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 -9 (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 4) -3)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (pow.f64 x 4)) (fma.f64 -3 (/.f64 (fma.f64 3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 4) -3)) (/.f64 3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 3)) (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))) (/.f64 -9 (.f64 x (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))))
(+.f64 (/.f64 (fma.f64 -3 (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 3)) (-.f64 (fma.f64 3 (/.f64 (-.f64 (/.f64 9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 4)) (/.f64 (fma.f64 -3 (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 -9 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (/.f64 9 (.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))))
(*.f64 3 (log.f64 x))
(*.f64 (log.f64 x) 3)
(*.f64 3 (log.f64 x))
(*.f64 (log.f64 x) 3)
(*.f64 3 (log.f64 x))
(*.f64 (log.f64 x) 3)
(*.f64 3 (log.f64 x))
(*.f64 (log.f64 x) 3)
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 x) 3)
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 x) 3)
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 x) 3)
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 x) 3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x 3))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
✓	0.5b	(cbrt.f64 (log.f64 x))
	0.6b	(cbrt.f64 x)
	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 51 to 16 computations (68.6% saved)

series7.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (log.f64 x))
2.0ms	x	@	inf	(cbrt.f64 (log.f64 x))
2.0ms	x	@	-inf	(cbrt.f64 (log.f64 x))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
566×	`add-log-exp_binary64`
566×	`log1p-expm1-u_binary64`
566×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	156	16
2	1652	16

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))))))

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

726×	`unswap-sqr_binary64`
596×	`associate-l_binary64`
377×	`unsub-neg_binary64`
363×	`associate-r_binary64`
338×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	44	88
2	68	88
3	135	88
4	304	88
5	769	88
6	2613	88
7	5554	88
8	6445	88
9	7114	88
10	7574	88

Stop Event

1×	node limit

Counts

49 → 41

Calls

Call 1

Inputs
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)

Outputs
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))

eval716.0ms (8.2%)

Compiler: Compiled 11442 to 6163 computations (46.1% saved)

prune246.0ms (2.8%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	473	9	482
Fresh	3	3	6
Picked	1	0	1
Done	3	7	10
Total	480	19	499

Error

Counts

499 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
▶	0.7b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
	5.0b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 x 1/3))
✓	41.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
▶	31.4b	(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
▶	0.7b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
	1.6b	(.f64 1/3 (pow.f64 (cbrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 3))
✓	60.8b	(log.f64 (pow.f64 x x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	31.4b	(.f64 (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2) (cbrt.f64 x))
✓	31.0b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
	43.5b	(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
✓	0.3b	(*.f64 x (log.f64 x))
✓	33.0b	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
▶	31.6b	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 351 to 246 computations (29.9% saved)

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (log.f64 x) 3) x)
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.6b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 (log.f64 x) 3) x)
1.0ms	x	@	0	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
1.0ms	x	@	-inf	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
1.0ms	x	@	inf	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) 3) x)

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	162	15
2	1849	15

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
(.f64 (.f64 (log.f64 x) 3) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(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 sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

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

simplify189.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1351×	`fma-neg_binary64`
977×	`fma-def_binary64`
678×	`unsub-neg_binary64`
404×	`distribute-rgt-in_binary64`
375×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	180
1	47	180
2	104	180
3	278	180
4	634	180
5	1620	180
6	3665	180
7	4235	180
8	4410	180
9	4488	180
10	4502	180
11	5337	180
12	7509	180
13	7684	180
14	7815	180
15	7895	180
16	7895	180

Stop Event

1×	node limit

Counts

48 → 32

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 x) (.f64 x 3))
✓	0.6b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series42.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(.f64 (log.f64 x) (.f64 x 3))
1.0ms	x	@	-inf	(.f64 (log.f64 x) (.f64 x 3))
1.0ms	x	@	0	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
1.0ms	x	@	-inf	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
1.0ms	x	@	inf	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
674×	`add-log-exp_binary64`
674×	`log1p-expm1-u_binary64`
674×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	162	18
2	1842	18

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
(.f64 (log.f64 x) (.f64 x 3))

Outputs

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

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

simplify210.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1351×	`fma-neg_binary64`
977×	`fma-def_binary64`
678×	`unsub-neg_binary64`
404×	`distribute-rgt-in_binary64`
375×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	180
1	47	180
2	104	180
3	278	180
4	634	180
5	1620	180
6	3665	180
7	4235	180
8	4410	180
9	4488	180
10	4502	180
11	5337	180
12	7509	180
13	7684	180
14	7815	180
15	7895	180
16	7895	180

Stop Event

1×	node limit

Counts

48 → 32

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (exp.f64 (log.f64 (.f64 (log.f64 x) 3))) x)
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.4b	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
✓	0.6b	(exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))

Compiler

Compiled 39 to 25 computations (35.9% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))
1.0ms	x	@	-inf	(exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))
1.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))
1.0ms	x	@	0	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
0.0ms	x	@	-inf	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))

rewrite130.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
715×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	185	21
2	2018	21

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 (log.f64 x) 3)))
(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
(.f64 (exp.f64 (log.f64 (.f64 (log.f64 x) 3))) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (log.f64 x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) (cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 9)) (cbrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 x) 3)))) (sqrt.f64 (log.f64 (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 x) 3))) 2)) (cbrt.f64 (log.f64 (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x 3) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(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 sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

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

simplify266.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1855×	`fma-def_binary64`
1467×	`distribute-rgt-in_binary64`
715×	`unsub-neg_binary64`
417×	`distribute-neg-in_binary64`
320×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	252
1	57	252
2	118	252
3	287	252
4	660	252
5	1701	252
6	2925	252
7	3418	252
8	3580	252
9	3648	252
10	3658	252
11	6200	252
12	7239	252
13	7462	252
14	7660	252
15	7722	252
16	7722	252
17	7806	252
18	7806	252

Stop Event

1×	node limit

Counts

85 → 59

Calls

Call 1

Inputs
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))

Outputs
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 x))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 3 (log.f64 x))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (log.f64 x))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (log.f64 x))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (log.f64 x))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 3 (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 x) 3))) 2)
✓	0.3b	(sqrt.f64 (.f64 x (.f64 (log.f64 x) 3)))
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.4b	(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))

Compiler

Compiled 44 to 28 computations (36.4% saved)

series23.0ms (0.3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 x) 3))) 2)
3.0ms	x	@	-inf	(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 x) 3))) 2)
2.0ms	x	@	0	(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 x) 3))) 2)

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
784×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
768×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	227	29
2	2252	29

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
(sqrt.f64 (.f64 x (.f64 (log.f64 x) 3)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 x) 3))) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4) (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/2) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2) (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (*.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4)) (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2)) (cbrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 (log.f64 x) 3))) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 x) 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 x) 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-neg_binary64`
470×	`fma-def_binary64`
464×	`distribute-rgt-neg-in_binary64`
403×	`unsub-neg_binary64`
365×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	204
1	68	108
2	191	72
3	668	72
4	1756	72
5	4499	72

Stop Event

1×	node limit

Counts

81 → 73

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))

Outputs
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 (log.f64 x) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 (sqrt.f64 3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 (sqrt.f64 -3) 2) x)))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
✓	0.4b	(*.f64 (cbrt.f64 x) (log.f64 x))
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (log.f64 x))
1.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
1.0ms	x	@	0	(*.f64 (cbrt.f64 x) (log.f64 x))
0.0ms	x	@	inf	(*.f64 (cbrt.f64 x) (log.f64 x))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`pow1_binary64`
605×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	160	14
2	1756	14

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 x) (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))

Outputs

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

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1961×	`fma-def_binary64`
961×	`fma-neg_binary64`
610×	`distribute-rgt-in_binary64`
511×	`distribute-lft-in_binary64`
249×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	33	72
2	60	72
3	134	72
4	275	72
5	704	72
6	1985	72
7	3039	72
8	3407	72
9	3573	72
10	3583	72
11	3585	72
12	4846	72
13	5508	72
14	5640	72
15	5676	72
16	5690	72
17	5694	72
18	5694	72
19	5718	72

Stop Event

1×	node limit

Counts

39 → 31

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))

eval147.0ms (1.7%)

Compiler: Compiled 4277 to 2623 computations (38.7% saved)

prune68.0ms (0.8%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	357	4	361
Fresh	4	3	7
Picked	0	1	1
Done	0	11	11
Total	361	19	380

Error

Counts

380 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
✓	0.7b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
	1.6b	(.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (*.f64 3 x))) 3))
✓	0.3b	(*.f64 x (log.f64 x))
✓	31.4b	(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
✓	0.7b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
	43.5b	(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
	31.9b	(.f64 1/3 (.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 (log.f64 x) 3))) x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	31.4b	(.f64 (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2) (cbrt.f64 x))
✓	31.0b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.9b	(.f64 1/3 (.f64 (.f64 (.f64 (log.f64 x) 3) (sqrt.f64 x)) (sqrt.f64 x)))
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	41.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	60.8b	(log.f64 (pow.f64 x x))
✓	33.0b	(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
✓	31.6b	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))

Compiler

Compiled 215 to 150 computations (30.2% saved)

regimes74.0ms (0.8%)

Accuracy

Total -63.7b remaining (-22964.8%)

Threshold costs -63.7b (-22964.8%)

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
(log.f64 (pow.f64 x x))
(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
(.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (*.f64 3 x))) 3))
(.f64 1/3 (pow.f64 (sqrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 2))
(.f64 1/3 (pow.f64 (cbrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 3))
(.f64 1/3 (.f64 (.f64 (.f64 (log.f64 x) 3) (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 x 1/3))
(.f64 1/3 (.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 (log.f64 x) 3))) x))
(/.f64 (.f64 x (.f64 (log.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
(.f64 (pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (log.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x))))) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2) (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))))

Outputs
(*.f64 x (log.f64 x))

Calls

2 calls:

39.0ms	x
23.0ms	(*.f64 x (log.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(*.f64 x (log.f64 x))`

Compiler

Compiled 401 to 213 computations (46.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))

Outputs
(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end12.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)