Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.2s (25.1%)

Results

1.2s	8256×	body	256	valid
1.0ms	14×	body	256	invalid

preprocess14.0ms (0.3%)

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)

simplify5.0ms (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)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series181.0ms (3.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
133.0ms	x	@	-inf	(*.f64 x (log.f64 x))
42.0ms	x	@	0	(*.f64 x (log.f64 x))
7.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite29.0ms (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 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 x))))))))

Outputs

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

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1961×	`fma-def_binary64`
961×	`fma-neg_binary64`
605×	`distribute-rgt-in_binary64`
504×	`distribute-lft-in_binary64`
254×	`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	273	72
5	648	72
6	1905	72
7	2854	72
8	3211	72
9	3377	72
10	3387	72
11	3389	72
12	4646	72
13	5308	72
14	5427	72
15	5463	72
16	5477	72
17	5481	72
18	5481	72
19	5505	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))

eval4.0ms (0.1%)

Compiler: Compiled 243 to 109 computations (55.1% 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
▶	32.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	51.3b	(/.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))))
▶	41.2b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 65 to 43 computations (33.8% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	39.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
	0.3b	(*.f64 x (log.f64 x))
	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
✓	39.8b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	15
2	1465	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-rgt-neg-in_binary64`
417×	`distribute-rgt-in_binary64`
401×	`associate-+l+_binary64`
392×	`distribute-lft-in_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	82	276
2	285	276
3	1441	244
4	4260	244

Stop Event

1×	node limit

Counts

78 → 59

Calls

Call 1

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

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

localize46.0ms (1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x))))
	0.2b	(pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3)
	0.0b	(+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))
	0.0b	(+.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)))
✓	0.2b	(.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)
✓	20.2b	(/.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)

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`log-prod_binary64`
479×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
217×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	337	59
2	4621	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

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

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

712×	`distribute-rgt-in_binary64`
689×	`distribute-lft-in_binary64`
474×	`times-frac_binary64`
292×	`associate-/l*_binary64`
250×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1856
1	533	1641
2	2169	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 (log.f64 x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) x)))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (pow.f64 (log.f64 x) 2)))) (.f64 1/9 (pow.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) 2))))))) (pow.f64 x 3))))
(fma.f64 1/3 (.f64 x (.f64 3 (log.f64 x))) (fma.f64 (+.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 -1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 1/9 (.f64 (.f64 3 (log.f64 x)) (pow.f64 (log.f64 x) 2)) (.f64 1/3 (.f64 (.f64 3 (log.f64 x)) (+.f64 (.f64 1/3 (.f64 3 (pow.f64 (log.f64 x) 2))) (.f64 -1/9 (pow.f64 (.f64 3 (log.f64 x)) 2))))))) (pow.f64 x 3))))
(fma.f64 (.f64 1 (log.f64 x)) x (fma.f64 (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 x x) (.f64 (-.f64 (.f64 1/3 (pow.f64 (log.f64 x) 3)) (fma.f64 (.f64 1 (log.f64 x)) (+.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 (.f64 9 (pow.f64 (log.f64 x) 2)) -1/9)) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))))
(fma.f64 (log.f64 x) x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))) x) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))))))
(+.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 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))) x) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2))))))) (.f64 (fma.f64 1/3 (.f64 (pow.f64 (log.f64 x) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2))))) (.f64 (log.f64 x) (.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 1/9 (.f64 -9 (pow.f64 (log.f64 x) 2)))) (neg.f64 (log.f64 x))))) (pow.f64 x 4)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 1/3 (.f64 x (*.f64 3 (log.f64 x))))
(.f64 x (.f64 1 (log.f64 x)))
(*.f64 x (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) 3) (neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 x)) -3) (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 (log.f64 x) x 3) (/.f64 (*.f64 (log.f64 x) -3) (neg.f64 (log.f64 x))))
(+.f64 (fma.f64 (log.f64 x) x 3) (/.f64 (*.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)))))
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(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2)))
(fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (*.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (.f64 x x) 3)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
(fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(-.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
(+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (.f64 x x) 3))) (.f64 x (.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 x 2))))
(fma.f64 -1 (.f64 x (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)) (fma.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))
(-.f64 (fma.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (.f64 (.f64 (.f64 x x) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -3)))
(+.f64 (.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (.f64 x x) 3))) (.f64 x (.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -3)))
1
(+.f64 1 (.f64 2 (.f64 x (log.f64 x))))
(fma.f64 (*.f64 2 x) (log.f64 x) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2)) (.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 1 (fma.f64 (pow.f64 (log.f64 x) 2) (.f64 x x) (.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (fma.f64 (*.f64 2 x) (log.f64 x) 1))
(+.f64 1 (.f64 (.f64 x (log.f64 x)) (+.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 (fma.f64 (pow.f64 (log.f64 x) 2) (.f64 x x) (.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (fma.f64 (*.f64 2 x) (log.f64 x) 1))
(+.f64 1 (.f64 (.f64 x (log.f64 x)) (+.f64 2 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.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)))
(fma.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (.f64 x x) (.f64 (*.f64 x (neg.f64 (log.f64 x))) -2))
(fma.f64 (neg.f64 (.f64 -2 (log.f64 x))) x (.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))
(.f64 (.f64 x (log.f64 x)) (+.f64 2 (*.f64 x (log.f64 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 (fma.f64 (pow.f64 (log.f64 x) 2) (.f64 x x) (.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (fma.f64 (*.f64 2 x) (log.f64 x) 1))
(+.f64 1 (.f64 (.f64 x (log.f64 x)) (+.f64 2 (*.f64 x (log.f64 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 (fma.f64 (pow.f64 (log.f64 x) 2) (.f64 x x) (.f64 2 (*.f64 x (log.f64 x)))))
(+.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x x)) (fma.f64 (*.f64 2 x) (log.f64 x) 1))
(+.f64 1 (.f64 (.f64 x (log.f64 x)) (+.f64 2 (*.f64 x (log.f64 x)))))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.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 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (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 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (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 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	0.5b	(cbrt.f64 (*.f64 x (log.f64 x)))
	0.3b	(*.f64 x (log.f64 x))
	0.3b	(*.f64 x (log.f64 x))
✓	0.5b	(cbrt.f64 (*.f64 x (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series8.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (log.f64 x)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
0.0ms	x	@	inf	(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite63.0ms (1.3%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 x))
	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.1b	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.1b	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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)))

rewrite50.0ms (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	1331	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 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 expm1.f64 (log1p.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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.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

50 → 50

Calls

Call 1

Inputs

Outputs

eval339.0ms (7.1%)

Compiler: Compiled 16445 to 9473 computations (42.4% saved)

prune103.0ms (2.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	548	8	556
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	549	12	561

Error

0.0b

Counts

561 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
▶	0.5b	(.f64 1/3 (.f64 (+.f64 (*.f64 2 (log.f64 x)) (log.f64 x)) x))
▶	22.6b	(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x))))) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
▶	1.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) 3)
✓	41.2b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	32.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	32.8b	(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))
	28.6b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 245 to 153 computations (37.6% saved)

localize23.0ms (0.5%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 37 to 19 computations (48.6% saved)

series5.0ms (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	@	0	(.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))
0.0ms	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))

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
869×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
853×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	194	21
2	2507	21

Stop Event

1×	node limit

Counts

3 → 71

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 (+.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 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 expm1.f64 (log1p.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 -.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (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)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 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 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 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 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 x))))) (+.f64 (*.f64 8 (pow.f64 (log.f64 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 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.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 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 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) (*.f64 (pow.f64 (log.f64 x) 2) 4)) (-.f64 (log.f64 x) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 expm1.f64 (log1p.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) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (log.f64 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)) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 x))) 2) (cbrt.f64 (*.f64 2 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (log.f64 x))) (sqrt.f64 (*.f64 2 (log.f64 x))) (log.f64 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (*.f64 2 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 x (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (log.f64 x)) x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 (log.f64 x))) (*.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 /.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)) x) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 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 (*.f64 8 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 4) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 2 (log.f64 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 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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))))

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-neg_binary64`
384×	`associate--l+_binary64`
353×	`distribute-rgt-in_binary64`
333×	`fma-def_binary64`
331×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	264
1	68	264
2	225	168
3	869	168
4	3711	168

Stop Event

1×	node limit

Counts

95 → 79

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (sqrt.f64 x) (log.f64 x))
	0.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 (sqrt.f64 x) (log.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 (sqrt.f64 x) (log.f64 x))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (log.f64 x))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (log.f64 x))
0.0ms	x	@	inf	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))

rewrite33.0ms (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	1380	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-neg_binary64`
495×	`unsub-neg_binary64`
401×	`fma-def_binary64`
374×	`distribute-rgt-neg-in_binary64`
286×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	72
1	49	72
2	126	72
3	428	72
4	1399	72
5	3273	72
6	5890	72
7	7210	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))

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) 3)
	0.6b	(cbrt.f64 x)
	0.5b	(cbrt.f64 (log.f64 x))
	0.3b	(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))
✓	0.5b	(cbrt.f64 (log.f64 x))
✓	0.6b	(cbrt.f64 x)
✓	0.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) 3)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series8.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
614×	`add-log-exp_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	165	22
2	1790	22

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

726×	`unswap-sqr_binary64`
601×	`associate-l_binary64`
362×	`unsub-neg_binary64`
340×	`sqr-pow_binary64`
335×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	44	88
2	68	88
3	135	88
4	303	88
5	744	88
6	2535	88
7	5369	88
8	6235	88
9	6888	88
10	7348	88
11	7821	88

Stop Event

1×	node limit

Counts

89 → 81

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series6.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	160	20
2	1756	20

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1961×	`fma-def_binary64`
961×	`fma-neg_binary64`
605×	`distribute-rgt-in_binary64`
504×	`distribute-lft-in_binary64`
254×	`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	273	72
5	648	72
6	1905	72
7	2854	72
8	3211	72
9	3377	72
10	3387	72
11	3389	72
12	4646	72
13	5308	72
14	5427	72
15	5463	72
16	5477	72
17	5481	72
18	5481	72
19	5505	72

Stop Event

1×	node limit

Counts

55 → 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)

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))

localize39.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x))))
	0.0b	(+.f64 1 (.f64 (+.f64 1 (.f64 x (log.f64 x))) 1))
	0.0b	(log1p.f64 (*.f64 x (log.f64 x)))
	0.0b	(+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))
	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(.f64 3 (log1p.f64 (.f64 x (log.f64 x))))
✓	0.9b	(expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x)))))
✓	20.3b	(/.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))))

Compiler

Compiled 124 to 56 computations (54.8% saved)

series15.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.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))))
4.0ms	x	@	inf	(/.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))))
2.0ms	x	@	0	(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x))))) (+.f64 (.f64 (+.f64 1 (.f64 x (log.f64 x))) (+.f64 1 (.f64 x (log.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))
1.0ms	x	@	-inf	(expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x)))))
1.0ms	x	@	inf	(expm1.f64 (.f64 3 (log1p.f64 (.f64 x (log.f64 x)))))

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`log-prod_binary64`
389×	`fma-neg_binary64`
258×	`pow1/3_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	331	60
2	4342	60

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

(/.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))))

(expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))))

(*.f64 3 (log1p.f64 (*.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 (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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 x (log.f64 x))) (*.f64 2 (log1p.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log1p.f64 (*.f64 x (log.f64 x)))) (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 4))) (log.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 x) 1)) 2) (fma.f64 x (log.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 x) 1)) 3)) (log.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)) (log.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 x) 1)) 2))) (*.f64 1/3 (log1p.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (sqrt.f64 (fma.f64 x (log.f64 x) 1)))) (*.f64 1/2 (log1p.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 3)) (log.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 2)) 3)) (log.f64 (pow.f64 (-.f64 1 (*.f64 x (log.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)))) (log1p.f64 (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 2) (-.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 2)))) (log1p.f64 (*.f64 (neg.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x (log.f64 x))) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 x) 1) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 x (log.f64 x))))))))))

simplify96.0ms (2%)

Algorithm

1×	egg-herbie

Rules

351×	`cancel-sign-sub-inv_binary64`
283×	`fma-def_binary64`
255×	`distribute-rgt-neg-out_binary64`
223×	`fma-neg_binary64`
220×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4814
1	967	4091
2	4205	3392

Stop Event

1×	node limit

Counts

137 → 171

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))) (pow.f64 x 2)) (.f64 (log.f64 x) x))
(+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -9/2 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))))) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))) (pow.f64 x 2)) (.f64 (log.f64 x) x)))
(+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 27/8 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 9/8 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 -3/4 (pow.f64 (log.f64 x) 4)) (+.f64 (.f64 -27/4 (pow.f64 (log.f64 x) 4)) (.f64 3 (pow.f64 (log.f64 x) 4))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (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 (.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -9/2 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))))) (.f64 1/3 (pow.f64 (log.f64 x) 3)))))))) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 -9/2 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3)))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))))) (.f64 1/3 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))) (pow.f64 x 2)) (*.f64 (log.f64 x) x))))
(/.f64 (-.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) 1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))
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(-.f64 (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -3 (/.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (log.f64 (/.f64 1 x)) x))) (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -3 (/.f64 (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (log.f64 (/.f64 1 x)) x))) (exp.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))))))) 1)
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(.f64 3 (.f64 x (log.f64 x)))
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Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 9/2 (pow.f64 (log.f64 x) 2)) (.f64 -3/2 (pow.f64 (log.f64 x) 2)))) (.f64 1/3 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log.f64 x)) (log.f64 x)))) (pow.f64 x 2)) (.f64 (log.f64 x) x))
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(fma.f64 x (log.f64 x) (.f64 x (.f64 x (-.f64 (.f64 (pow.f64 (log.f64 x) 2) 1) (.f64 (pow.f64 (log.f64 x) 2) 1)))))
(.f64 x (+.f64 (log.f64 x) (.f64 0 x)))
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(.f64 3 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 3 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(*.f64 3 (-.f64 (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))))
(*.f64 3 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 3 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 3 (/.f64 1 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))
(fma.f64 3 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 3 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 3 (-.f64 (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))
(fma.f64 3 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))) (.f64 3/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 3 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 3/2 (.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(+.f64 (fma.f64 3 (-.f64 (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (/.f64 -3/2 (.f64 x (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))))
(-.f64 (fma.f64 3 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 3/2 (*.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 3 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))))) (.f64 3/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 3 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 3 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (pow.f64 x 3))) (/.f64 3/2 (.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(+.f64 (fma.f64 3 (-.f64 (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (-.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 (/.f64 3/2 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(+.f64 (fma.f64 3 (-.f64 (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 (/.f64 3/2 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))

eval351.0ms (7.3%)

Compiler: Compiled 18557 to 11600 computations (37.5% saved)

prune92.0ms (1.9%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	536	12	548
Fresh	3	0	3
Picked	1	0	1
Done	2	6	8
Total	542	18	560

Error

Counts

560 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	31.2b	(/.f64 (.f64 3 (.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))))
✓	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
▶	3.1b	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 x (*.f64 (log.f64 x) 3)))))
	0.6b	(.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3)) x))
✓	1.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) 3)
✓	41.2b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
	32.8b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	0.5b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 x 3)))
▶	0.5b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
✓	32.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	33.1b	(.f64 1/3 (.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) x))
▶	28.6b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶	0.5b	(.f64 1/3 (+.f64 (.f64 (.f64 2 (log.f64 x)) x) (.f64 x (log.f64 x))))
▶	41.1b	(.f64 1/3 (cbrt.f64 (pow.f64 (.f64 x (*.f64 (log.f64 x) 3)) 3)))
	1.4b	(.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (log.f64 x))) 3))
	1.3b	(.f64 1/3 (pow.f64 (cbrt.f64 (.f64 x (*.f64 (log.f64 x) 3))) 3))

Compiler

Compiled 357 to 251 computations (29.7% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 44 to 20 computations (54.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 1/3 (+.f64 (.f64 (.f64 2 (log.f64 x)) x) (.f64 x (log.f64 x))))
1.0ms	x	@	-inf	(.f64 1/3 (+.f64 (.f64 (.f64 2 (log.f64 x)) x) (.f64 x (log.f64 x))))
1.0ms	x	@	inf	(.f64 1/3 (+.f64 (.f64 (.f64 2 (log.f64 x)) x) (.f64 x (log.f64 x))))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 2 (log.f64 x)) x) (*.f64 x (log.f64 x)))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 2 (log.f64 x)) x) (*.f64 x (log.f64 x)))

rewrite125.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
515×	`fma-def_binary64`
395×	`exp-prod_binary64`
345×	`pow-prod-down_binary64`
297×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	218	30
2	2908	24

Stop Event

1×	node limit

Counts

3 → 409

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (neg.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 (neg.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 (neg.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 -1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 (neg.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 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) x (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 x) (log.f64 x) (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (*.f64 x (log.f64 x))) 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) (log.f64 (pow.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) (*.f64 2/3 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) 1) (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x) (*.f64 2 x)) (*.f64 x (log.f64 x)))))) (#(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 /.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 3 (log.f64 x))) (*.f64 x (log.f64 x))) (*.f64 x (*.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (*.f64 2 x)) 3) (pow.f64 (*.f64 x (log.f64 x)) 3)) (fma.f64 4 (pow.f64 (*.f64 x (log.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 2 (pow.f64 (*.f64 x (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) 3) (pow.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) 3)) (+.f64 (pow.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) 2) (-.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) 2) (*.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) (log.f64 (pow.f64 (cbrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2/3 (*.f64 x (log.f64 x))) 2) (pow.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) 2)) (log.f64 (/.f64 (cbrt.f64 (pow.f64 x (*.f64 2 x))) (pow.f64 (cbrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3) (fma.f64 (*.f64 x (log.f64 x)) (log.f64 (/.f64 (pow.f64 x x) (pow.f64 x (*.f64 2 x)))) (pow.f64 (*.f64 (log.f64 x) (*.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x (*.f64 3 (log.f64 x))) (*.f64 x (log.f64 x))) 1/3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (fma.f64 8 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 x (log.f64 x)) 3))) (fma.f64 (*.f64 x (log.f64 x)) (log.f64 (/.f64 (pow.f64 x x) (pow.f64 x (*.f64 2 x)))) (pow.f64 (*.f64 (log.f64 x) (*.f64 2 x)) 2)))))) (#(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 (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 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2) (log.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 x))) 2)) (cbrt.f64 (*.f64 2 (log.f64 x))) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 2 (log.f64 x)))) (sqrt.f64 (*.f64 2 (log.f64 x))) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (log.f64 x)))))))

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

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

797×	`unsub-neg_binary64`
570×	`fma-def_binary64`
557×	`distribute-rgt-in_binary64`
513×	`distribute-neg-in_binary64`
486×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	360
1	118	324
2	404	288
3	1582	288
4	5598	288

Stop Event

1×	node limit

Counts

445 → 421

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite39.0ms (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	1843	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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.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 (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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))))

simplify123.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1855×	`fma-def_binary64`
1449×	`distribute-rgt-in_binary64`
713×	`unsub-neg_binary64`
406×	`distribute-neg-in_binary64`
311×	`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	662	252
5	1621	252
6	2828	252
7	3256	252
8	3418	252
9	3486	252
10	3496	252
11	6048	252
12	7087	252
13	7310	252
14	7508	252
15	7570	252
16	7570	252
17	7655	252
18	7655	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 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))
(.f64 3 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(.f64 (.f64 3 x) (log.f64 x))
(.f64 x (.f64 (log.f64 x) 3))
(.f64 (log.f64 x) (.f64 x 3))

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	28.1b	(cbrt.f64 (*.f64 x x))
	0.6b	(cbrt.f64 x)
	0.4b	(*.f64 (cbrt.f64 x) (log.f64 x))
	0.4b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
	0.4b	(*.f64 (cbrt.f64 x) (log.f64 x))
	0.6b	(cbrt.f64 x)
✓	28.1b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 7 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
0.0ms	x	@	-inf	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
0.0ms	x	@	0	(cbrt.f64 (*.f64 x x))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x x))
0.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
595×	`add-log-exp_binary64`
595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	154	12
2	1739	12

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1828×	`fma-def_binary64`
813×	`unsub-neg_binary64`
464×	`fma-neg_binary64`
452×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	43	132
2	107	132
3	390	100
4	955	100
5	1994	100
6	3442	100
7	3818	100
8	3978	100
9	4030	100
10	4046	100
11	6867	100
12	7370	100
13	7610	100
14	7735	100
15	7771	100
16	7771	100

Stop Event

1×	node limit

Counts

45 → 38

Calls

Call 1

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

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

localize20.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 x (*.f64 (log.f64 x) 3)))))
	0.3b	(*.f64 (log.f64 x) 3)
	0.3b	(.f64 x (.f64 (log.f64 x) 3))
	0.0b	(log1p.f64 (.f64 x (.f64 (log.f64 x) 3)))
✓	0.3b	(.f64 x (.f64 (log.f64 x) 3))
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.4b	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 x (*.f64 (log.f64 x) 3)))))
✓	2.9b	(expm1.f64 (log1p.f64 (.f64 x (.f64 (log.f64 x) 3))))

Compiler

Compiled 41 to 25 computations (39% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (.f64 x (.f64 (log.f64 x) 3))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (.f64 x (.f64 (log.f64 x) 3))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (.f64 x (.f64 (log.f64 x) 3))))
0.0ms	x	@	0	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 x (*.f64 (log.f64 x) 3)))))
0.0ms	x	@	-inf	(.f64 1/3 (expm1.f64 (log1p.f64 (.f64 x (*.f64 (log.f64 x) 3)))))

rewrite99.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary64`
725×	`expm1-log1p-u_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	181	27
2	2009	27

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1351×	`fma-neg_binary64`
977×	`fma-def_binary64`
674×	`unsub-neg_binary64`
402×	`distribute-rgt-in_binary64`
370×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	288
1	47	288
2	104	288
3	278	288
4	632	288
5	1581	288
6	3570	288
7	4026	288
8	4201	288
9	4279	288
10	4293	288
11	5120	288
12	7287	288
13	7462	288
14	7593	288
15	7673	288
16	7673	288

Stop Event

1×	node limit

Counts

97 → 53

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 (.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 (.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 (.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)))

localize36.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 1/3 (cbrt.f64 (pow.f64 (.f64 x (*.f64 (log.f64 x) 3)) 3)))
	0.3b	(*.f64 (log.f64 x) 3)
	0.3b	(.f64 x (.f64 (log.f64 x) 3))
	0.2b	(pow.f64 (.f64 x (.f64 (log.f64 x) 3)) 3)
	0.3b	(.f64 x (.f64 (log.f64 x) 3))
	0.3b	(*.f64 (log.f64 x) 3)
✓	0.4b	(.f64 1/3 (cbrt.f64 (pow.f64 (.f64 x (*.f64 (log.f64 x) 3)) 3)))
✓	39.7b	(cbrt.f64 (pow.f64 (.f64 x (.f64 (log.f64 x) 3)) 3))

Compiler

Compiled 44 to 28 computations (36.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 x (.f64 (log.f64 x) 3)) 3))
0.0ms	x	@	-inf	(.f64 1/3 (cbrt.f64 (pow.f64 (.f64 x (*.f64 (log.f64 x) 3)) 3)))
0.0ms	x	@	inf	(.f64 1/3 (cbrt.f64 (pow.f64 (.f64 x (*.f64 (log.f64 x) 3)) 3)))
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (.f64 x (.f64 (log.f64 x) 3)) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (.f64 x (.f64 (log.f64 x) 3)) 3))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	210	18
2	2188	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2) (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) (*.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2) 1/3) (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2)) (cbrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 (log.f64 x) 3))) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 x) 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 x) 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 27) 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 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))))))) (#(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 -.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 log1p.f64 (expm1.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))))

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

843×	`unsub-neg_binary64`
424×	`fma-neg_binary64`
418×	`fma-def_binary64`
408×	`distribute-rgt-in_binary64`
365×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	300
1	59	292
2	162	292
3	510	228
4	1457	228
5	3640	228
6	6432	228

Stop Event

1×	node limit

Counts

68 → 52

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 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) 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 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))

Outputs
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -3 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 3 (.f64 x (log.f64 x)))
(.f64 (log.f64 x) (.f64 3 x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x (cbrt.f64 -27))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 x (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -27))))
(.f64 (log.f64 x) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x (cbrt.f64 -27))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 x (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -27))))
(.f64 (log.f64 x) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x (cbrt.f64 -27))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 x (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -27))))
(.f64 (log.f64 x) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 x (cbrt.f64 -27))))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 x (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -27))))
(.f64 (log.f64 x) (neg.f64 (.f64 x (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (neg.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 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (cbrt.f64 -27))) -1/3)
(.f64 (.f64 x (cbrt.f64 -27)) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/3))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 x (.f64 -1/3 (*.f64 (log.f64 x) (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (cbrt.f64 -27))) -1/3)
(.f64 (.f64 x (cbrt.f64 -27)) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/3))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 x (.f64 -1/3 (*.f64 (log.f64 x) (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (cbrt.f64 -27))) -1/3)
(.f64 (.f64 x (cbrt.f64 -27)) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/3))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 x (.f64 -1/3 (*.f64 (log.f64 x) (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 -1/3 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (cbrt.f64 -27) x)))
(.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (cbrt.f64 -27))) -1/3)
(.f64 (.f64 x (cbrt.f64 -27)) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/3))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 x (.f64 -1/3 (*.f64 (log.f64 x) (cbrt.f64 -27))))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))

eval173.0ms (3.6%)

Compiler: Compiled 11071 to 4779 computations (56.8% saved)

prune81.0ms (1.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	695	5	700
Fresh	6	1	7
Picked	1	0	1
Done	4	6	10
Total	706	12	718

Error

Counts

718 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
	0.5b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 3 x)))
✓	32.8b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.7b	(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	31.2b	(/.f64 (.f64 3 (.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))))
✓	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(.f64 1/3 (.f64 (*.f64 x (log.f64 x)) 3))
	0.4b	(fma.f64 x (.f64 (log.f64 x) 1/3) (.f64 2/3 (*.f64 x (log.f64 x))))
✓	41.2b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	0.3b	(*.f64 x (log.f64 x))
	0.6b	(.f64 1/3 (.f64 (log.f64 x) (*.f64 (cbrt.f64 -27) (neg.f64 x))))

Compiler

Compiled 131 to 90 computations (31.3% saved)

regimes25.0ms (0.5%)

Accuracy

Total -63.1b remaining (-24121.5%)

Threshold costs -63.1b (-24121.5%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))
(.f64 1/3 (.f64 (*.f64 x (log.f64 x)) 3))
(.f64 1/3 (.f64 (log.f64 x) (*.f64 3 x)))
(.f64 1/3 (.f64 (*.f64 (log.f64 x) 3) x))
(.f64 (log.f64 x) (.f64 (cbrt.f64 -27) (*.f64 x -1/3)))
(.f64 1/3 (.f64 (log.f64 x) (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
(fma.f64 x (.f64 (log.f64 x) 1/3) (.f64 2/3 (*.f64 x (log.f64 x))))
(/.f64 (.f64 3 (.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))))

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

Calls

2 calls:

16.0ms	(*.f64 x (log.f64 x))
6.0ms	x

Results

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

Compiler

Compiled 127 to 66 computations (48% saved)

simplify1.0ms (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×

saturated

Calls

Call 1

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

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

end12.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 10 to 6 computations (40% saved)

Details

analyze3.0ms (0.1%)

sample1.2s (25.1%)

preprocess14.0ms (0.3%)

simplify5.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series181.0ms (3.8%)

rewrite29.0ms (0.6%)

simplify84.0ms (1.7%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite36.0ms (0.7%)

simplify50.0ms (1.1%)

localize46.0ms (1%)

series9.0ms (0.2%)

rewrite80.0ms (1.7%)

simplify49.0ms (1%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite63.0ms (1.3%)

simplify7.0ms (0.1%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite50.0ms (1.1%)

simplify6.0ms (0.1%)

eval339.0ms (7.1%)

prune103.0ms (2.2%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

rewrite56.0ms (1.2%)

simplify32.0ms (0.7%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite33.0ms (0.7%)

simplify48.0ms (1%)

localize12.0ms (0.3%)

series8.0ms (0.2%)

rewrite44.0ms (0.9%)

simplify71.0ms (1.5%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite41.0ms (0.9%)

simplify110.0ms (2.3%)

localize39.0ms (0.8%)

series15.0ms (0.3%)

rewrite75.0ms (1.6%)

simplify96.0ms (2%)

eval351.0ms (7.3%)

prune92.0ms (1.9%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

rewrite125.0ms (2.6%)

simplify66.0ms (1.4%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite39.0ms (0.8%)

simplify123.0ms (2.6%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify94.0ms (2%)

localize20.0ms (0.4%)

series3.0ms (0.1%)

rewrite99.0ms (2.1%)

simplify104.0ms (2.2%)

localize36.0ms (0.7%)

series4.0ms (0.1%)

rewrite39.0ms (0.8%)

simplify40.0ms (0.8%)

eval173.0ms (3.6%)

prune81.0ms (1.7%)

regimes25.0ms (0.5%)

simplify1.0ms (0%)

end12.0ms (0.3%)

Profiling