Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
60%	37.5%	25%	0%	0%	37.5%	0%	4
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	5
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	6
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	7
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	8
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	9
99.2%	49.6%	0.4%	0%	0.2%	49.8%	0%	10
99.6%	49.7%	0.2%	0%	0.2%	49.9%	0%	11
99.8%	49.7%	0.1%	0%	0.2%	49.9%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.3s (18%)

Results

1.3s	8256×	body	256	valid
1.0ms	10×	body	256	invalid
1.0ms	6×	body	256	infinite

Bogosity

preprocess16.0ms (0.2%)

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)

simplify6.0ms (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)

localize5.0ms (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)

series217.0ms (3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
162.0ms	x	@	-inf	(*.f64 x (log.f64 x))
47.0ms	x	@	0	(*.f64 x (log.f64 x))
8.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite42.0ms (0.6%)

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))))))

simplify151.0ms (2.1%)

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))

eval5.0ms (0.1%)

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

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

0.2b

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
▶	30.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.3b	(*.f64 x (log.f64 x))
▶	52.1b	(/.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 64 to 42 computations (34.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 x))
✓	3.0b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))

rewrite204.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`pow1_binary64`
410×	`add-sqr-sqrt_binary64`
404×	`*-un-lft-identity_binary64`
395×	`expm1-log1p-u_binary64`
394×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	97	6
2	1096	6

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))

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

Outputs

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

simplify204.0ms (2.8%)

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

46 → 36

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))

localize69.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x))))
	0.3b	(*.f64 x (log.f64 x))
✓	2.5b	(-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1)
✓	22.4b	(/.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)

series13.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	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))))
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))))
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)

rewrite133.0ms (1.8%)

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 → 150

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)

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

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

simplify296.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

670×	`distribute-rgt-in_binary64`
662×	`distribute-lft-in_binary64`
474×	`times-frac_binary64`
295×	`associate-/l*_binary64`
184×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1856
1	533	1641
2	2213	1439

Stop Event

1×	node limit

Counts

186 → 206

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

localize10.0ms (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)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms	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)
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	0	(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite52.0ms (0.7%)

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)))))))))

simplify6.0ms (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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

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)
1.0ms	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)))

rewrite77.0ms (1.1%)

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)))))))))

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

50 → 50

Calls

Call 1

Inputs

Outputs

eval393.0ms (5.4%)

Compiler: Compiled 16144 to 9331 computations (42.2% saved)

prune107.0ms (1.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	520	13	533
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	522	16	538

Error

0.0b

Counts

538 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
▶	30.9b	(.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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
▶	30.8b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	24.9b	(/.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))))
✓	30.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	0.4b	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
	31.0b	(.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)))))
✓	1.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	1.7b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
▶	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	0.3b	(*.f64 x (log.f64 x))
	31.0b	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
	32.9b	(/.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 427 to 259 computations (39.3% saved)

localize38.0ms (0.5%)

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))
✓	0.3b	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
1.0ms	x	@	inf	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
1.0ms	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)
0.0ms	x	@	-inf	(+.f64 (*.f64 2 (log.f64 x)) (log.f64 x))

rewrite102.0ms (1.4%)

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))))))))

simplify201.0ms (2.8%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 x) (sqrt.f64 x))
✓	0.3b	(.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
2.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
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	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite48.0ms (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))))))))

simplify74.0ms (1%)

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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 5 computations (76.2% saved)

series4.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

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

rewrite82.0ms (1.1%)

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	19
1	117	19
2	1381	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

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

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

simplify214.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2081×	`fma-def_binary64`
937×	`fma-neg_binary64`
695×	`distribute-rgt-in_binary64`
313×	`unsub-neg_binary64`
262×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	300
1	49	296
2	81	296
3	157	264
4	299	264
5	731	264
6	2090	264
7	3308	264
8	3756	264
9	3928	264
10	3946	264
11	3952	264
12	5465	264
13	6128	264
14	6285	264
15	6340	264
16	6358	264
17	6362	264
18	6362	264
19	6362	264

Stop Event

1×	node limit

Counts

74 → 55

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

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 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(.f64 (.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(.f64 (.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(.f64 (.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(.f64 (.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))
	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.8b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)

Compiler

Compiled 39 to 15 computations (61.5% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3))

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`pow1_binary64`
512×	`add-sqr-sqrt_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	188	14
2	1453	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

52 → 52

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.2b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))
✓	0.2b	(.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)))))
	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 51 to 16 computations (68.6% saved)

series115.0ms (1.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
75.0ms	x	@	0	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))
20.0ms	x	@	inf	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))
17.0ms	x	@	-inf	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))
1.0ms	x	@	-inf	(.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)))))
1.0ms	x	@	0	(.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)))))

rewrite229.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
644×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	188	15
2	2211	15

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

422×	`unswap-sqr_binary64`
389×	`distribute-rgt-in_binary64`
385×	`associate-l_binary64`
379×	`exp-sum_binary64`
357×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	376
1	135	364
2	432	324
3	1528	248
4	5941	200

Stop Event

1×	node limit

Counts

51 → 35

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)))
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 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 (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))
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 (log.f64 x) 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 x) (*.f64 3 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 (log.f64 x) 3) 1/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (log.f64 x) 3/4))
(pow.f64 (*.f64 x (log.f64 x)) 3/4)
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -3 (log.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))))
(.f64 (.f64 (sqrt.f64 -1) (pow.f64 (/.f64 -1 x) -3/4)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) 1/4))
(.f64 (pow.f64 (/.f64 -1 x) -3/4) (.f64 (sqrt.f64 -1) (pow.f64 (log.f64 x) 3/4)))
(.f64 (sqrt.f64 -1) (pow.f64 (.f64 x (log.f64 x)) 3/4))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -3 (log.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))))
(.f64 (.f64 (sqrt.f64 -1) (pow.f64 (/.f64 -1 x) -3/4)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) 1/4))
(.f64 (pow.f64 (/.f64 -1 x) -3/4) (.f64 (sqrt.f64 -1) (pow.f64 (log.f64 x) 3/4)))
(.f64 (sqrt.f64 -1) (pow.f64 (.f64 x (log.f64 x)) 3/4))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -3 (log.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))))
(.f64 (.f64 (sqrt.f64 -1) (pow.f64 (/.f64 -1 x) -3/4)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) 1/4))
(.f64 (pow.f64 (/.f64 -1 x) -3/4) (.f64 (sqrt.f64 -1) (pow.f64 (log.f64 x) 3/4)))
(.f64 (sqrt.f64 -1) (pow.f64 (.f64 x (log.f64 x)) 3/4))
(.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))
(*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 (log.f64 (/.f64 -1 x)) -3 (log.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))))
(.f64 (.f64 (sqrt.f64 -1) (pow.f64 (/.f64 -1 x) -3/4)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) 1/4))
(.f64 (pow.f64 (/.f64 -1 x) -3/4) (.f64 (sqrt.f64 -1) (pow.f64 (log.f64 x) 3/4)))
(.f64 (sqrt.f64 -1) (pow.f64 (.f64 x (log.f64 x)) 3/4))

eval229.0ms (3.2%)

Compiler: Compiled 6450 to 2793 computations (56.7% saved)

prune141.0ms (1.9%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	415	14	429
Fresh	5	3	8
Picked	1	0	1
Done	2	5	7
Total	423	22	445

Error

Counts

445 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 3/2)))
✓	30.8b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
▶	0.5b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
	24.9b	(/.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))))
▶	0.4b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
▶	0.6b	(.f64 1/3 (/.f64 (.f64 (.f64 (.f64 (log.f64 x) 3) (log.f64 x)) x) (log.f64 x)))
✓	30.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	31.1b	(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
✓	1.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	0.6b	(.f64 1/3 (.f64 (/.f64 1 (/.f64 (log.f64 x) (.f64 (.f64 (log.f64 x) 3) (log.f64 x)))) x))
✓	0.3b	(*.f64 x (log.f64 x))
	30.9b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/4)) 2))
	31.7b	(.f64 1/3 (+.f64 (.f64 (log.f64 (.f64 x x)) x) (.f64 x (log.f64 x))))
	32.9b	(/.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))))
	44.2b	(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
	30.8b	(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2) x))
	1.3b	(.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) x))
	31.8b	(.f64 1/3 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (*.f64 x x))) x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
	31.0b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	31.0b	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))

Compiler

Compiled 544 to 367 computations (32.5% saved)

localize11.0ms (0.2%)

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)
✓	0.3b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series175.0ms (2.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
172.0ms	x	@	0	(.f64 (.f64 (log.f64 x) 3) x)
1.0ms	x	@	inf	(.f64 (.f64 (log.f64 x) 3) x)
1.0ms	x	@	0	(*.f64 (log.f64 x) 3)
0.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) 3) x)
0.0ms	x	@	-inf	(*.f64 (log.f64 x) 3)

rewrite55.0ms (0.8%)

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	27
1	162	21
2	1849	21

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

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

simplify221.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1855×	`fma-def_binary64`
1483×	`distribute-rgt-in_binary64`
716×	`unsub-neg_binary64`
421×	`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	288	252
4	662	252
5	1703	252
6	2936	252
7	3424	252
8	3586	252
9	3654	252
10	3664	252
11	6214	252
12	7253	252
13	7476	252
14	7674	252
15	7736	252
16	7736	252
17	7823	252
18	7823	252

Stop Event

1×	node limit

Counts

71 → 47

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.7%)

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

Outputs

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

((#(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)))))))

simplify191.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	180
1	47	180
2	104	180
3	276	180
4	633	180
5	1607	180
6	3647	180
7	4219	180
8	4394	180
9	4472	180
10	4486	180
11	5331	180
12	7503	180
13	7678	180
14	7809	180
15	7889	180
16	7889	180

Stop Event

1×	node limit

Counts

48 → 31

Calls

Call 1

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

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 x) 3))) x)
✓	0.2b	(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.6b	(expm1.f64 (log1p.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	(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))
1.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))
1.0ms	x	@	-inf	(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
1.0ms	x	@	inf	(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))
0.0ms	x	@	-inf	(.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 x) 3))) x)

rewrite140.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
711×	`add-log-exp_binary64`
711×	`expm1-log1p-u_binary64`
710×	`log1p-expm1-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	181	21
2	2017	21

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))
(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
(.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 x) 3))) x)

Outputs

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

simplify212.0ms (2.9%)

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

84 → 58

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)))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 25 computations (51.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
433×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
262×	`pow2_binary64`
259×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	211	46
2	2753	42

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
617×	`unsub-neg_binary64`
506×	`fma-neg_binary64`
354×	`associate-l_binary64`
322×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	288
1	67	288
2	154	288
3	580	288
4	2483	288
5	5846	288

Stop Event

1×	node limit

Counts

157 → 132

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sqrt.f64 (log.f64 x)))
✓	0.2b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 3/2)))
✓	0.2b	(pow.f64 (log.f64 x) 3/2)
✓	0.2b	(cbrt.f64 (pow.f64 (log.f64 x) 3/2))

Compiler

Compiled 33 to 14 computations (57.6% saved)

series232.0ms (3.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
99.0ms	x	@	-inf	(pow.f64 (log.f64 x) 3/2)
87.0ms	x	@	inf	(pow.f64 (log.f64 x) 3/2)
42.0ms	x	@	0	(pow.f64 (log.f64 x) 3/2)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (log.f64 x) 3/2))
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (log.f64 x) 3/2))

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	183	17
2	2137	17

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

787×	`unsub-neg_binary64`
687×	`fma-neg_binary64`
640×	`fma-def_binary64`
528×	`distribute-rgt-in_binary64`
428×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	284
1	66	284
2	131	260
3	387	260
4	1272	260
5	5003	260

Stop Event

1×	node limit

Counts

89 → 64

Calls

Call 1

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

eval210.0ms (2.9%)

Compiler: Compiled 5084 to 2902 computations (42.9% saved)

prune92.0ms (1.3%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	372	6	378
Fresh	8	4	12
Picked	0	1	1
Done	2	7	9
Total	382	18	400

Error

Counts

400 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	0.4b	(/.f64 1 (/.f64 (log.f64 x) (.f64 (log.f64 x) (.f64 x (log.f64 x)))))
✓	0.5b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
✓	30.8b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 3/2)))
✓	0.4b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
	0.6b	(.f64 1/3 (/.f64 (.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x) (log.f64 x)))
✓	30.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	31.1b	(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
✓	1.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	44.2b	(.f64 1/3 (.f64 (log.f64 (pow.f64 x 3)) x))
✓	0.3b	(*.f64 x (log.f64 x))
	31.7b	(.f64 1/3 (+.f64 (.f64 (log.f64 (.f64 x x)) x) (.f64 x (log.f64 x))))
	0.3b	(/.f64 (.f64 (log.f64 x) (.f64 x (log.f64 x))) (log.f64 x))
	0.6b	(/.f64 1/3 (/.f64 (/.f64 (log.f64 x) x) (*.f64 3 (pow.f64 (log.f64 x) 2))))
	31.0b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	31.0b	(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
	1.3b	(.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) x))
	32.9b	(/.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 212 to 144 computations (32.1% saved)

regimes85.0ms (1.2%)

Accuracy

Total -63.1b remaining (-22762.3%)

Threshold costs -63.1b (-22762.3%)

Counts

38 → 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))
(.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))
(.f64 1/3 (+.f64 (.f64 (log.f64 (.f64 x x)) x) (.f64 x (log.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(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 (.f64 (log.f64 x) (.f64 x (log.f64 x))) (log.f64 x))
(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 1/3 (.f64 (exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) x))
(.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) x))
(.f64 1/3 (.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2) x))
(.f64 1/3 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) x))
(/.f64 1 (/.f64 (log.f64 x) (.f64 (log.f64 x) (.f64 x (log.f64 x)))))
(.f64 1/3 (/.f64 (.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x) (log.f64 x)))
(/.f64 1/3 (/.f64 (/.f64 (log.f64 x) x) (*.f64 3 (pow.f64 (log.f64 x) 2))))
(.f64 1/3 (/.f64 (.f64 (.f64 (.f64 (log.f64 x) 3) (log.f64 x)) x) (log.f64 x)))
(.f64 1/3 (.f64 (/.f64 1 (/.f64 (log.f64 x) (.f64 (.f64 (log.f64 x) 3) (log.f64 x)))) x))
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 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))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 3/2)))
(.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 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/4)) 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 1/3 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (*.f64 x x))) 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)))))

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

Calls

2 calls:

54.0ms	(*.f64 x (log.f64 x))
20.0ms	x

Results

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

Compiler

Compiled 487 to 236 computations (51.5% 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%)

end20.0ms (0.3%)

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

Details

analyze3.0ms (0%)

sample1.3s (18%)

preprocess16.0ms (0.2%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series217.0ms (3%)

rewrite42.0ms (0.6%)

simplify151.0ms (2.1%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite204.0ms (2.8%)

simplify204.0ms (2.8%)

localize69.0ms (0.9%)

series13.0ms (0.2%)

rewrite133.0ms (1.8%)

simplify296.0ms (4.1%)

localize10.0ms (0.1%)

series6.0ms (0.1%)

rewrite52.0ms (0.7%)

simplify6.0ms (0.1%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite77.0ms (1.1%)

simplify7.0ms (0.1%)

eval393.0ms (5.4%)

prune107.0ms (1.5%)

localize38.0ms (0.5%)

series6.0ms (0.1%)

rewrite102.0ms (1.4%)

simplify201.0ms (2.8%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite48.0ms (0.7%)

simplify74.0ms (1%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite82.0ms (1.1%)

simplify214.0ms (2.9%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite52.0ms (0.7%)

simplify8.0ms (0.1%)

localize19.0ms (0.3%)

series115.0ms (1.6%)

rewrite229.0ms (3.1%)

simplify51.0ms (0.7%)

eval229.0ms (3.2%)

prune141.0ms (1.9%)

localize11.0ms (0.2%)

series175.0ms (2.4%)

rewrite55.0ms (0.8%)

simplify221.0ms (3%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite53.0ms (0.7%)

simplify191.0ms (2.6%)

localize46.0ms (0.6%)

series5.0ms (0.1%)

rewrite140.0ms (1.9%)

simplify212.0ms (2.9%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

rewrite123.0ms (1.7%)

simplify105.0ms (1.5%)

localize19.0ms (0.3%)

series232.0ms (3.2%)

rewrite98.0ms (1.4%)

simplify110.0ms (1.5%)

eval210.0ms (2.9%)

prune92.0ms (1.3%)

regimes85.0ms (1.2%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end20.0ms (0.3%)

Profiling