Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (38.5%)

Results

1.2s	8256×	body	256	valid
2.0ms	22×	body	256	invalid

preprocess14.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	27	11
6	32	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	27	11
6	32	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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

eval1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

prune76.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) 1)
✓	0.0b	(log.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series3.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite57.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
544×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
533×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	126	16
2	1581	16

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
721×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
514×	`associate-l_binary64`
394×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	173
1	93	170
2	232	170
3	672	166
4	2250	165

Stop Event

1×	node limit

Counts

70 → 72

Calls

Call 1

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

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

eval24.0ms (0.7%)

Compiler: Compiled 861 to 727 computations (15.6% saved)

prune13.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Error

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
▶	64.0b	(neg.f64 (log.f64 -1))
▶	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
▶	0.7b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	1.0b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Compiler

Compiled 76 to 65 computations (14.5% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
✓	5.7b	(expm1.f64 (neg.f64 (log.f64 x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series170.0ms (5.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
44.0ms	x	@	0	(expm1.f64 (neg.f64 (log.f64 x)))
40.0ms	x	@	-inf	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
18.0ms	x	@	-inf	(expm1.f64 (neg.f64 (log.f64 x)))
15.0ms	x	@	inf	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`pow1_binary64`
403×	`add-sqr-sqrt_binary64`
397×	`*-un-lft-identity_binary64`
385×	`add-log-exp_binary64`
384×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	116	10
2	1337	10

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(expm1.f64 (neg.f64 (log.f64 x)))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))

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

Outputs

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

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

249×	`associate-/r*_binary64`
234×	`fma-neg_binary64`
207×	`associate--r+_binary64`
200×	`fma-def_binary64`
197×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	192
1	62	192
2	117	192
3	272	192
4	583	192
5	1500	192

Stop Event

1×	node limit

Counts

79 → 63

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(+.f64 (/.f64 1 x) -1)
(+.f64 (pow.f64 x -1) -1)
(-.f64 -1 (/.f64 -1 x))
(log.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 (pow.f64 x -1) -1))
(log.f64 (-.f64 -1 (/.f64 -1 x)))

localize4.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize21.0ms (0.6%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 (log.f64 x)) x)

Compiler

Compiled 18 to 5 computations (72.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
506×	`add-log-exp_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	113	6
2	1650	6

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify179.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1806×	`fma-neg_binary64`
1001×	`distribute-rgt-in_binary64`
889×	`fma-def_binary64`
726×	`distribute-lft-in_binary64`
275×	`associate--l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	47	83
2	100	83
3	226	83
4	518	83
5	1301	83
6	2722	83
7	3487	83
8	3706	83
9	4165	83
10	4724	83
11	4821	83
12	5769	83
13	6071	83
14	6087	83
15	6123	83
16	6403	83
17	7285	83

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

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

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

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) -1)
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) -1))
✓	0.1b	(sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
✓	0.4b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)

Compiler

Compiled 45 to 38 computations (15.6% saved)

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite89.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
735×	`add-log-exp_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
720×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	205	36
2	2087	36

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

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

simplify103.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
617×	`fma-def_binary64`
393×	`associate-l_binary64`
353×	`associate-r_binary64`
325×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1433
1	475	1265
2	1617	1086
3	6415	1052

Stop Event

1×	node limit

Counts

148 → 128

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) (.f64 -1 x))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x) (neg.f64 x))
(-.f64 (neg.f64 (log.f64 x)) x)
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) (.f64 -1 x)))
(fma.f64 (+.f64 (/.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x) (neg.f64 x)))
(-.f64 (fma.f64 (-.f64 (/.f64 -1/4 (log.f64 x)) (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2)) (.f64 x x) (neg.f64 (log.f64 x))) x)
(-.f64 (.f64 (-.f64 (/.f64 -1/4 (log.f64 x)) (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2)) (*.f64 x x)) (+.f64 x (log.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) (.f64 -1 x))))
(fma.f64 (+.f64 (/.f64 1/4 (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2))) (.f64 x x) (fma.f64 (fma.f64 -1 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x) (neg.f64 x))))
(fma.f64 (-.f64 (/.f64 -1/4 (log.f64 x)) (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2)) (.f64 x x) (-.f64 (fma.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2) (log.f64 x))) (+.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2) (log.f64 x))))) (pow.f64 x 3) (neg.f64 (log.f64 x))) x))
(-.f64 (.f64 (.f64 x x) (+.f64 (-.f64 (/.f64 -1/4 (log.f64 x)) (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2)) (.f64 x (+.f64 -1/3 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2) (neg.f64 (log.f64 x))) 0))))) (+.f64 x (log.f64 x)))
(fma.f64 (.f64 x x) (+.f64 (.f64 x -1/3) (-.f64 (/.f64 -1/4 (log.f64 x)) (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2))) (-.f64 (neg.f64 (log.f64 x)) x))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2) 1/2) (pow.f64 x 2))) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (.f64 (log.f64 -1) (pow.f64 x 2)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)) (+.f64 (log.f64 -1) (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))))) (/.f64 1 x))
(+.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (-.f64 (-.f64 (log.f64 -1) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (/.f64 1 x)))
(-.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1))))) (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 -1) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2) 1/2) (pow.f64 x 2))) (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1))) 1/3) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2) 1/2) (.f64 (log.f64 -1) (pow.f64 x 3)))))))) (/.f64 1 x))
(+.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)) (+.f64 (log.f64 -1) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3) (pow.f64 x 3)) (.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 (pow.f64 x 3) (log.f64 -1))))))) (/.f64 1 x)))
(+.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 (pow.f64 x 3) (log.f64 -1)))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3) (pow.f64 x 3))) (-.f64 (log.f64 -1) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)))) (-.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (/.f64 1 x)))
(+.f64 (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1)))) (+.f64 (-.f64 (/.f64 (fma.f64 1/2 (/.f64 1/4 (log.f64 -1)) 1/4) (.f64 (pow.f64 x 3) (log.f64 -1))) (/.f64 (-.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (log.f64 -1)) -1/4) (log.f64 -1))) (pow.f64 x 3))) (-.f64 (log.f64 -1) (-.f64 (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (.f64 x x)) (/.f64 -1 x)))))
(+.f64 (+.f64 (/.f64 (-.f64 -1/2 (/.f64 1/4 (log.f64 -1))) (.f64 x x)) (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1))))) (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (log.f64 -1)) -1/3) (pow.f64 x 3)) (+.f64 (-.f64 (log.f64 -1) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (log.f64 -1)) -1/4) (.f64 (pow.f64 x 3) (log.f64 -1)))) (/.f64 -1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 -1) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)) (+.f64 (log.f64 -1) (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))))) (/.f64 1 x))
(+.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (-.f64 (-.f64 (log.f64 -1) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (/.f64 1 x)))
(-.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1))))) (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 -1) (pow.f64 x 2)))) (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (neg.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/4 (.f64 (.f64 x x) (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1)))) (+.f64 (-.f64 (log.f64 -1) (-.f64 (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x)) (/.f64 -1 x))) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x (.f64 x (log.f64 -1)))) (/.f64 -1 x)) (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x))) (/.f64 -1/3 (pow.f64 x 3))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 x (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (.f64 -1/2 (/.f64 x (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)) (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (sqrt.f64 -1) x))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (/.f64 (sqrt.f64 -1) (.f64 x x)))) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (/.f64 x (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2) (/.f64 (sqrt.f64 -1) (.f64 x x)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (+.f64 (/.f64 x (sqrt.f64 -1)) (.f64 (.f64 x x) (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2) (sqrt.f64 -1)))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (pow.f64 x 3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 x))))) 2) 1/2) (/.f64 (sqrt.f64 -1) (.f64 x x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))))))
(fma.f64 -1/2 (/.f64 (.f64 (+.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2) (log.f64 x)))) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 x))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (+.f64 (.f64 -1/2 (/.f64 x (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (/.f64 -1/2 (sqrt.f64 -1))) 2) 1/2) (/.f64 (sqrt.f64 -1) (*.f64 x x))))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (+.f64 (/.f64 (.f64 (.f64 -1/2 (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2) (log.f64 x)) 1/3)) (sqrt.f64 -1)) (.f64 -1/2 (+.f64 (/.f64 x (sqrt.f64 -1)) (.f64 (.f64 x x) (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 x))) (sqrt.f64 -1))) 2) 1/2) (sqrt.f64 -1))))))))
(sqrt.f64 (log.f64 -1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (sqrt.f64 (log.f64 -1)))
(fma.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) x) (sqrt.f64 (log.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (sqrt.f64 (log.f64 -1))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (fma.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1))))
(+.f64 (sqrt.f64 (log.f64 -1)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)) (/.f64 1 x))))
(fma.f64 -1/2 (*.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) x)) (sqrt.f64 (log.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (+.f64 (sqrt.f64 (log.f64 -1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2) 1/2) (log.f64 -1)))) (pow.f64 x 3)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (log.f64 -1))))) (sqrt.f64 (log.f64 -1))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (*.f64 x x)) (/.f64 1 x))))
(+.f64 (sqrt.f64 (log.f64 -1)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x))) (/.f64 (-.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (log.f64 -1)) -1/4) (log.f64 -1))) (pow.f64 x 3)))))
(sqrt.f64 (log.f64 -1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (sqrt.f64 (log.f64 -1)))
(fma.f64 -1/2 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) x) (sqrt.f64 (log.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (log.f64 -1))))) (sqrt.f64 (log.f64 -1))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (fma.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1))))
(+.f64 (sqrt.f64 (log.f64 -1)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x)) (/.f64 1 x))))
(fma.f64 -1/2 (*.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) x) 1) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) x)) (sqrt.f64 (log.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 1 x))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (log.f64 -1))))) (+.f64 (sqrt.f64 (log.f64 -1)) (.f64 -1/2 (.f64 (/.f64 (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (log.f64 -1))))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (.f64 x x))) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (log.f64 -1)))) (sqrt.f64 (log.f64 -1))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (log.f64 -1)) 1/3) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (log.f64 -1))))) (sqrt.f64 (log.f64 -1))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (/.f64 (+.f64 1/2 (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) 2)) (*.f64 x x)) (/.f64 1 x))))
(+.f64 (sqrt.f64 (log.f64 -1)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1/2 (/.f64 1/4 (log.f64 -1))) (*.f64 x x))) (/.f64 (-.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (log.f64 -1)) -1/4) (log.f64 -1))) (pow.f64 x 3)))))
(*.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x) (neg.f64 x))
(-.f64 (neg.f64 (log.f64 x)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (neg.f64 (log.f64 x))))
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (log.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) (+.f64 x (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 -1/2 (.f64 x x) (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (log.f64 x)) x))
(-.f64 (fma.f64 x (.f64 x -1/2) (-.f64 (.f64 (pow.f64 x 3) -1/3) (log.f64 x))) x)
(fma.f64 (pow.f64 x 3) -1/3 (-.f64 (.f64 x (.f64 x -1/2)) (+.f64 x (log.f64 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 (/.f64 1/2 x) x)) (/.f64 -1 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -1/3 (pow.f64 x 3)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 (/.f64 1/2 x) x)) (/.f64 -1 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -1/3 (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))

eval104.0ms (3.2%)

Compiler: Compiled 3768 to 3043 computations (19.2% saved)

prune73.0ms (2.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	235	7	242

Error

Counts

242 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	63.0b	(neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.7b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
▶	62.5b	(neg.f64 (neg.f64 x))
✓	1.0b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 x) (log.f64 x))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
506×	`add-sqr-sqrt_binary64`
488×	`add-log-exp_binary64`
487×	`log1p-expm1-u_binary64`
487×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	6
2	1629	6

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify174.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

2028×	`fma-neg_binary64`
846×	`fma-def_binary64`
762×	`distribute-rgt-in_binary64`
389×	`distribute-lft-in_binary64`
306×	`associate--r-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	40	63
2	76	63
3	180	63
4	431	63
5	813	63
6	1594	63
7	3064	63
8	3714	63
9	3762	63
10	3766	63
11	3782	63
12	4842	63
13	5193	63
14	5265	63
15	5287	63
16	5303	63
17	5303	63
18	6523	63
19	6916	63
20	7552	63

Stop Event

1×	node limit

Counts

49 → 43

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 460 to 213 computations (53.7% saved)

prune132.0ms (4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	43	7	50

Error

Counts

50 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	63.0b	(neg.f64 (-.f64 (log.f64 x) x))
✓	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.7b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
✓	62.5b	(neg.f64 (neg.f64 x))
✓	1.0b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Compiler

Compiled 48 to 39 computations (18.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 x) x)

Compiler

Compiled 13 to 4 computations (69.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	88	6
2	1262	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify184.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

2028×	`fma-neg_binary64`
846×	`fma-def_binary64`
762×	`distribute-rgt-in_binary64`
389×	`distribute-lft-in_binary64`
306×	`associate--r-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	40	63
2	76	63
3	180	63
4	431	63
5	813	63
6	1594	63
7	3064	63
8	3714	63
9	3762	63
10	3766	63
11	3782	63
12	4842	63
13	5193	63
14	5265	63
15	5287	63
16	5303	63
17	5303	63
18	6523	63
19	6916	63
20	7552	63

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

eval18.0ms (0.6%)

Compiler: Compiled 475 to 221 computations (53.5% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	42	7	49

Error

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	63.0b	(neg.f64 (-.f64 (log.f64 x) x))
✓	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.7b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
✓	62.5b	(neg.f64 (neg.f64 x))
✓	1.0b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Compiler

Compiled 48 to 39 computations (18.8% saved)

regimes83.0ms (2.5%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (log.f64 x) x))
(neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Calls

5 calls:

28.0ms	(-.f64 (/.f64 1 x) 1)
13.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
12.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
12.0ms	(/.f64 1 x)
11.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
0.0b	1	`(log.f64 (-.f64 (/.f64 1 x) 1))`
0.0b	1	`(-.f64 (/.f64 1 x) 1)`
0.0b	1	`(/.f64 1 x)`

Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes13.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (log.f64 x) x))
(neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 30 to 16 computations (46.7% saved)

regimes12.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (log.f64 x) x))
(neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes12.0ms (0.4%)

Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))

Outputs
(neg.f64 (neg.f64 x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
62.5b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`distribute-rgt-neg-in_binary64`
7×	`cancel-sign-sub-inv_binary64`
7×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	32	21
2	59	21
3	81	21
4	89	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 x))

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end56.0ms (1.7%)

Compiler: Compiled 15 to 9 computations (40% saved)

Details

analyze4.0ms (0.1%)

sample1.3s (38.5%)

preprocess14.0ms (0.4%)

simplify6.0ms (0.2%)

eval1.0ms (0%)

prune76.0ms (2.3%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite57.0ms (1.7%)

simplify48.0ms (1.5%)

eval24.0ms (0.7%)

prune13.0ms (0.4%)

localize11.0ms (0.3%)

series170.0ms (5.2%)

rewrite48.0ms (1.5%)

simplify42.0ms (1.3%)

localize4.0ms (0.1%)

localize21.0ms (0.6%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite44.0ms (1.3%)

simplify179.0ms (5.5%)

localize25.0ms (0.8%)

series7.0ms (0.2%)

rewrite89.0ms (2.7%)

simplify103.0ms (3.2%)

eval104.0ms (3.2%)

prune73.0ms (2.2%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1.3%)

simplify174.0ms (5.3%)

eval8.0ms (0.3%)

prune132.0ms (4%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1.3%)

simplify184.0ms (5.6%)

eval18.0ms (0.6%)

prune15.0ms (0.5%)

regimes83.0ms (2.5%)

regimes13.0ms (0.4%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end56.0ms (1.7%)

Profiling