Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.1s (45.2%)

Results

2.0s	8256×	body	256	valid
3.0ms	21×	body	256	invalid

Bogosity

preprocess48.0ms (1.1%)

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)

simplify7.0ms (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)

prune1.0ms (0%)

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 (0.3%)

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)

rewrite83.0ms (1.8%)

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)))))

simplify92.0ms (2%)

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

eval58.0ms (1.3%)

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

prune14.0ms (0.3%)

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 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
▶	0.6b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	32.0b	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
▶	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
▶	64.0b	(neg.f64 (log.f64 -1))

Compiler

Compiled 88 to 75 computations (14.8% saved)

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
✓	0.0b	(+.f64 (/.f64 1 x) -1)

Compiler

Compiled 36 to 30 computations (16.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
0.0ms	x	@	inf	(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
0.0ms	x	@	0	(+.f64 (/.f64 1 x) -1)
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) -1)

rewrite99.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
804×	`add-log-exp_binary64`
803×	`expm1-log1p-u_binary64`
802×	`log1p-expm1-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	174	16
2	2244	16

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(+.f64 (/.f64 1 x) -1)
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))

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

Outputs

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	236
1	96	233
2	235	233
3	674	229
4	2254	228

Stop Event

1×	node limit

Counts

84 → 79

Calls

Call 1

Inputs
(/.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)
(*.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))))

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

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

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

localize11.0ms (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)

series9.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 (neg.f64 (log.f64 x)) x)
3.0ms	x	@	-inf	(-.f64 (neg.f64 (log.f64 x)) x)
1.0ms	x	@	inf	(-.f64 (neg.f64 (log.f64 x)) x)

rewrite47.0ms (1%)

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))))))

simplify174.0ms (3.8%)

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 (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -2) -1)
✓	0.0b	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1)))
✓	30.0b	(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))

Compiler

Compiled 57 to 46 computations (19.3% saved)

series20.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
1.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))
0.0ms	x	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1)))
0.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1)))

rewrite81.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary64`
290×	`pow-prod-down_binary64`
280×	`pow2_binary64`
192×	`pow1/3_binary64`
192×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	244	23
2	3114	23

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) 1)) (/.f64 1 (+.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 x -6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -4) -1) (/.f64 1 (+.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1)) (+.f64 -1 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) 1) (+.f64 (pow.f64 x -4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (+.f64 1 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -4) -1) (+.f64 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 x -6))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -4) -1)) (neg.f64 (+.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -4)) (-.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -4) 1) (*.f64 (pow.f64 x -2) -1)) (+.f64 -1 (pow.f64 x -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x -2) 1) (+.f64 (pow.f64 x -4) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3/2) (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -4) (pow.f64 (cbrt.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x -2) 5/6) (/.f64 1 (cbrt.f64 x)) -1)))))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
721×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
509×	`associate-l_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	335
1	98	332
2	238	332
3	678	328
4	2254	327

Stop Event

1×	node limit

Counts

235 → 220

Calls

Call 1

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

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

eval146.0ms (3.2%)

Compiler: Compiled 5413 to 4449 computations (17.8% saved)

prune50.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	341	3	344
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	343	7	350

Error

Counts

350 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
✓	0.6b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	32.0b	(neg.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
▶	63.0b	(neg.f64 (+.f64 (neg.f64 x) (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	62.5b	(neg.f64 (neg.f64 x))

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize41.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (/.f64 1 (*.f64 x x)))
✓	0.0b	(log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1)))
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	30.0b	(/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1))

Compiler

Compiled 69 to 46 computations (33.3% saved)

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite123.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
318×	`pow-prod-down_binary64`
287×	`pow2_binary64`
217×	`fma-def_binary64`
197×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	242	27
2	3333	27

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2)) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) (/.f64 1 (+.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) (sqrt.f64 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) (/.f64 1 (+.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1 (pow.f64 x -2) 1) (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 -1 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 2))) 1) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 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-2))) (neg.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) 2) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) (neg.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (log.f64 (+.f64 -1 (pow.f64 x -2)))) (neg.f64 (log1p.f64 (/.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 x -2))) (/.f64 (pow.f64 x -4) (-.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 x)) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) (sqrt.f64 (+.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 x -6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x -4)) (/.f64 1 (-.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x -4) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (+.f64 1 (+.f64 (pow.f64 x -4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (-.f64 1 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -4)) (-.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 x -6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x -4))) (neg.f64 (-.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) 1) (+.f64 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 x -4) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (pow.f64 x -2)) (-.f64 1 (pow.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (.f64 2 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3/2) (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 x -5/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) -1)))))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
721×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
534×	`associate-l_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	419
1	98	416
2	238	416
3	679	412
4	2260	411

Stop Event

1×	node limit

Counts

290 → 263

Calls

Call 1

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

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

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.9%)

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))))))

simplify168.0ms (3.7%)

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)

eval198.0ms (4.4%)

Compiler: Compiled 5073 to 4134 computations (18.5% saved)

prune45.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	306	7	313

Error

Counts

313 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
✓	0.6b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	32.0b	(neg.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	63.0b	(neg.f64 (-.f64 (log.f64 x) x))
✓	62.5b	(neg.f64 (neg.f64 x))

Compiler

Compiled 56 to 45 computations (19.6% saved)

localize6.0ms (0.1%)

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)

rewrite41.0ms (0.9%)

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))))))

simplify169.0ms (3.7%)

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)

eval9.0ms (0.2%)

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

prune9.0ms (0.2%)

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 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
✓	0.6b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	32.0b	(neg.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1))))
✓	1.4b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	63.0b	(neg.f64 (-.f64 (log.f64 x) x))
✓	62.5b	(neg.f64 (neg.f64 x))

Compiler

Compiled 56 to 45 computations (19.6% saved)

regimes273.0ms (6%)

Counts

10 → 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 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))

Outputs
(neg.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))

Calls

8 calls:

124.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
80.0ms	(/.f64 1 x)
14.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
14.0ms	x
13.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Results

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

Compiler

Compiled 120 to 92 computations (23.3% saved)

regimes84.0ms (1.9%)

Counts

7 → 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)))

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

Calls

5 calls:

35.0ms	(/.f64 1 x)
12.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
11.0ms	x
11.0ms	(-.f64 (/.f64 1 x) 1)
11.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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 62 to 43 computations (30.6% saved)

regimes13.0ms (0.3%)

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
0.6b	1	`x`

Compiler

Compiled 30 to 16 computations (46.7% saved)

regimes12.0ms (0.3%)

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)

regimes10.0ms (0.2%)

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:

8.0ms

Results

Error	Segments	Branch
62.5b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`
7×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	40	35
2	69	35
3	92	35
4	100	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
(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 (log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1)))
(neg.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 1 x) -1) -1)))
(neg.f64 (log1p.f64 (+.f64 -1 (+.f64 (/.f64 1 x) -1))))
(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 28 to 22 computations (21.4% saved)

soundness0.0ms (0%)

end67.0ms (1.5%)

Compiler: Compiled 24 to 17 computations (29.2% saved)

Details

analyze5.0ms (0.1%)

sample2.1s (45.2%)

preprocess48.0ms (1.1%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite83.0ms (1.8%)

simplify92.0ms (2%)

eval58.0ms (1.3%)

prune14.0ms (0.3%)

localize18.0ms (0.4%)

series2.0ms (0%)

rewrite99.0ms (2.2%)

simplify41.0ms (0.9%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

localize11.0ms (0.2%)

series9.0ms (0.2%)

rewrite47.0ms (1%)

simplify174.0ms (3.8%)

localize25.0ms (0.6%)

series20.0ms (0.4%)

rewrite81.0ms (1.8%)

simplify49.0ms (1.1%)

eval146.0ms (3.2%)

prune50.0ms (1.1%)

localize41.0ms (0.9%)

series8.0ms (0.2%)

rewrite123.0ms (2.7%)

simplify46.0ms (1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite42.0ms (0.9%)

simplify168.0ms (3.7%)

eval198.0ms (4.4%)

prune45.0ms (1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite41.0ms (0.9%)

simplify169.0ms (3.7%)

eval9.0ms (0.2%)

prune9.0ms (0.2%)

regimes273.0ms (6%)

regimes84.0ms (1.9%)

regimes13.0ms (0.3%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

simplify9.0ms (0.2%)

soundness0.0ms (0%)

end67.0ms (1.5%)

Profiling