Details

analyze7.0ms (0.2%)

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)

sample792.0ms (25.9%)

Results

780.0ms	8256×	body	256	valid
2.0ms	22×	body	256	invalid

Bogosity

preprocess130.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`fma-def`
4×	`associate-+l-`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	19	21
3	21	21
4	26	21
5	30	21
6	35	21
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)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`fma-def`
4×	`associate-+l-`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	19	21
3	21	21
4	26	21
5	30	21
6	35	21

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)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite164.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`add-sqr-sqrt`
1518×	`*-un-lft-identity`
1418×	`add-cube-cbrt`
1404×	`add-cbrt-cube`
1390×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2003	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1178×	`distribute-lft-in`
1030×	`distribute-rgt-in`
766×	`associate-+r-`
710×	`associate-r`
584×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	781
1	203	749
2	704	743
3	3008	725
4	7998	725

Stop Event

1×	node limit

Counts

33 → 59

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 0 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1)
(*.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1))
(log1p.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 x))) 1))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(fma.f64 -1 x (neg.f64 (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) (fma.f64 -1 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) (log.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) (+.f64 x (log.f64 x)))
(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) (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 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/3) -1/2)) (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 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 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) (fma.f64 -1/2 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.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 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 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) (fma.f64 -1/2 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.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 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 0 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log1p.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 3)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3) 1/3)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 x))) 1))
(log1p.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 x))) -1))
(log1p.f64 (+.f64 -1 (expm1.f64 (neg.f64 (log.f64 x)))))

eval12.0ms (0.4%)

Compiler: Compiled 706 to 419 computations (40.7% saved)

prune31.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Error

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	31.0b	(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
▶	0.9b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	64.0b	(neg.f64 (log.f64 -1))

Compiler

Compiled 37 to 31 computations (16.2% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize26.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 x))
✓	0.0b	(pow.f64 x -2)
✓	0.0b	(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
✓	30.0b	(log.f64 (+.f64 (pow.f64 x -2) -1))

Compiler

Compiled 49 to 39 computations (20.4% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite120.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
1004×	`associate-*r/`
690×	`associate-*l/`
558×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	276	68
2	3314	68

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

Inputs
(log.f64 (+.f64 (pow.f64 x -2) -1))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(pow.f64 x -2)
(log1p.f64 (/.f64 1 x))

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

simplify242.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1084×	`+-commutative`
1066×	`associate-+r-`
820×	`fma-def`
672×	`associate-r`
610×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	13085
1	1499	12089
2	7663	12053

Stop Event

1×	node limit

Counts

271 → 355

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 -2 (log.f64 x)) (.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x)))) (.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2 (log.f64 x))))) (*.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 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 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -4))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 x -4)))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 x -6)))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))) 1)
(*.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(*.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(log1p.f64 (+.f64 (pow.f64 x -2) -2))
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(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1 x))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 x -4))) (.f64 -1 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x -2)))) (sqrt.f64 (neg.f64 (pow.f64 x -2))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 (pow.f64 x -2) 1)
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(/.f64 1 (*.f64 x x))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (/.f64 1 x) x)
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 -1 x) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 x (pow.f64 (sqrt.f64 x) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 x (pow.f64 (cbrt.f64 x) -1)))
(/.f64 (*.f64 1 (/.f64 -1 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) -1) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) 1) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 x))
(/.f64 (*.f64 1 (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 -1 x) -1) x)
(/.f64 (/.f64 (/.f64 -1 x) 1) (neg.f64 x))
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(neg.f64 (neg.f64 (pow.f64 x -2)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -6))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 -2 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 x)))
(*.f64 (log1p.f64 (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))
(pow.f64 (log1p.f64 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(log.f64 (+.f64 1 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))

Outputs
(*.f64 -2 (log.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))
(fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x)))
(-.f64 (.f64 -2 (log.f64 x)) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (.f64 -2 (log.f64 x)) (.f64 x x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (.f64 -2 (log.f64 x)) (.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(-.f64 (.f64 -2 (log.f64 x)) (.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(-.f64 (neg.f64 (log.f64 x)) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x)))) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 (.f64 x x) -1/2) (+.f64 (neg.f64 x) (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/2 (-.f64 (neg.f64 x) (log.f64 x)))
(-.f64 (-.f64 (.f64 (.f64 x x) -1/2) x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (.f64 -2 (log.f64 x))))) (neg.f64 (log.f64 x)))
(fma.f64 (.f64 x x) -1/2 (+.f64 (fma.f64 x -1 (.f64 -1/3 (pow.f64 x 3))) (neg.f64 (log.f64 x))))
(fma.f64 (.f64 x x) -1/2 (+.f64 (neg.f64 (log.f64 x)) (fma.f64 x -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 (log.f64 -1) (fma.f64 1/2 (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 (-.f64 (log.f64 -1) (/.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) (fma.f64 1/2 (pow.f64 x -2) (/.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 (log.f64 -1) (fma.f64 1/2 (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 (-.f64 (log.f64 -1) (/.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) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -4))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 x -4)))) (log1p.f64 (pow.f64 x -2)))
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(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (neg.f64 (pow.f64 x -2)) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(pow.f64 (sqrt.f64 x) -4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (neg.f64 (cbrt.f64 (pow.f64 x -4))) (.f64 -1 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -4))) (neg.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x -2)))) (sqrt.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (/.f64 x (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) x) (sqrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) x))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (cbrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 -1 x) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 x (pow.f64 (sqrt.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -2) x)
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 x (pow.f64 (cbrt.f64 x) -1)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (*.f64 1 (/.f64 -1 x)) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) 1) (sqrt.f64 x))
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 -1)))
(*.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) -1) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) x) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 (cbrt.f64 (neg.f64 x)) x))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) 1) (cbrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (*.f64 1 (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 x))
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (pow.f64 x -1/2) x)) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 -1)))
(*.f64 (/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1))
(/.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -2) x)
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) -1) x)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) 1) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -2) x)
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -2) x)
(/.f64 (/.f64 (/.f64 -1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (neg.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 x -6))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 -2 (log.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 1 x))
(*.f64 1 (log1p.f64 (/.f64 1 x)))
(log1p.f64 (/.f64 1 x))
(*.f64 (log1p.f64 (/.f64 1 x)) 1)
(log1p.f64 (/.f64 1 x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))
(log1p.f64 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))
(pow.f64 (log1p.f64 (/.f64 1 x)) 1)
(log1p.f64 (/.f64 1 x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(log1p.f64 (/.f64 1 x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(log1p.f64 (/.f64 1 x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(log1p.f64 (/.f64 1 x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (/.f64 1 x)))
(log1p.f64 (/.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(log1p.f64 (/.f64 1 x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))

localize7.0ms (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)

series8.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(-.f64 (neg.f64 (log.f64 x)) x)
1.0ms	x	@	-inf	(-.f64 (neg.f64 (log.f64 x)) x)
1.0ms	x	@	inf	(-.f64 (neg.f64 (log.f64 x)) x)

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	150	11
2	2069	11

Stop Event

1×	node limit

Counts

1 → 38

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

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-+r+`
1098×	`associate-r`
928×	`associate-+l+`
884×	`associate-l`
634×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1120
1	301	1034
2	1139	1018
3	5492	1018

Stop Event

1×	node limit

Counts

50 → 56

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

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

eval321.0ms (10.5%)

Compiler: Compiled 10552 to 8525 computations (19.2% saved)

prune85.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	411	5	416

Error

Counts

416 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	31.0b	(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 (/.f64 1 x) x) -1)) (log1p.f64 (/.f64 1 x))))
✓	0.9b	(neg.f64 (neg.f64 (log.f64 x)))
▶	62.6b	(neg.f64 (neg.f64 x))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

localize3.0ms (0.1%)

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

localize43.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (/.f64 1 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 (/.f64 (/.f64 1 x) x) -1)) (log1p.f64 (/.f64 1 x)))
✓	0.1b	(/.f64 (/.f64 1 x) x)
✓	30.0b	(log.f64 (+.f64 (/.f64 (/.f64 1 x) x) -1))

Compiler

Compiled 58 to 43 computations (25.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite138.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`associate-*r/`
1046×	`*-commutative`
1046×	`associate-*l/`
890×	`associate-/r*`
740×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	255	57
2	3282	57

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

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simplify133.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-+l-`
1302×	`associate-+r-`
668×	`fma-def`
492×	`associate-r`
440×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	11875
1	1185	11161
2	5848	11157

Stop Event

1×	node limit

Counts

195 → 278

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(/.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 (.f64 -2 (log.f64 x)) (.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x)))) (.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2 (log.f64 x))))) (*.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 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 2))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 2)))) (log1p.f64 (pow.f64 x -2)))
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(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (log1p.f64 (/.f64 1 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))))
(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))))

Outputs
(*.f64 -2 (log.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))
(fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x)))
(-.f64 (.f64 -2 (log.f64 x)) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (.f64 -2 (log.f64 x)) (.f64 x x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (.f64 x x) (.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (.f64 -2 (log.f64 x)) (.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (log.f64 -1) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (/.f64 1/2 (pow.f64 x 4)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(-.f64 (log.f64 -1) (pow.f64 x -2))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1) (pow.f64 x -2)) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (log.f64 -1) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (/.f64 1/2 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (.f64 -2 (log.f64 x)) (.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (.f64 -2 (log.f64 x)))) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 (.f64 x x) -1/2) (+.f64 (neg.f64 x) (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/2 (-.f64 (neg.f64 x) (log.f64 x)))
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (.f64 -2 (log.f64 x))))) (neg.f64 (log.f64 x)))
(fma.f64 (.f64 x x) -1/2 (+.f64 (fma.f64 x -1 (.f64 -1/3 (pow.f64 x 3))) (neg.f64 (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 (log.f64 -1) (fma.f64 1/2 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (fma.f64 1/2 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 2))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -4))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 2)))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 2))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -4))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(*.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 3)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) 1/3)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2))
(fabs.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(log1p.f64 (+.f64 (pow.f64 x -2) -2))
(log1p.f64 (+.f64 -2 (pow.f64 x -2)))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x -2) -1) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 x)) x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (cbrt.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 x)) x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (cbrt.f64 (sqrt.f64 x)))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (*.f64 (pow.f64 x -2) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (+.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) 1 (log1p.f64 (/.f64 1 x)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))))) (+.f64 (.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3)) (+.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 3)) (.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))))) (+.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 6) (pow.f64 (log1p.f64 (/.f64 1 x)) 6)) (*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (fma.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) 1) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (fma.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) 2)))
(pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 1)
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) 2)
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) 3)
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 3) 1/3)
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))) 2))
(fabs.f64 (-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 3))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 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))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 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))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))

eval462.0ms (15.1%)

Compiler: Compiled 9428 to 7880 computations (16.4% saved)

prune49.0ms (1.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	315	5	320

Error

Counts

320 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	31.0b	(neg.f64 (-.f64 (log.f64 (+.f64 (/.f64 (/.f64 1 x) x) -1)) (log1p.f64 (/.f64 1 x))))
✓	0.9b	(neg.f64 (neg.f64 (log.f64 x)))
✓	62.6b	(neg.f64 (neg.f64 x))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

regimes26.0ms (0.9%)

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

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

Calls

5 calls:

5.0ms	(/.f64 1 x)
5.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
5.0ms	(-.f64 (/.f64 1 x) 1)
5.0ms	x
4.0ms	(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 77 to 60 computations (22.1% saved)

regimes4.0ms (0.1%)

Counts

4 → 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 (neg.f64 (log.f64 x)) x))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.9b	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

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:

4.0ms

Results

Error	Segments	Branch
62.6b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
20×	`*-commutative`
16×	`distribute-lft-neg-in`
14×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	34	38
2	55	38
3	75	38
4	79	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end23.0ms (0.7%)

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

Details

analyze7.0ms (0.2%)

sample792.0ms (25.9%)

preprocess130.0ms (4.2%)

simplify12.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite164.0ms (5.4%)

simplify64.0ms (2.1%)

eval12.0ms (0.4%)

prune31.0ms (1%)

localize4.0ms (0.1%)

localize5.0ms (0.2%)

localize26.0ms (0.9%)

series4.0ms (0.1%)

rewrite120.0ms (3.9%)

simplify242.0ms (7.9%)

localize7.0ms (0.2%)

series8.0ms (0.3%)

rewrite55.0ms (1.8%)

simplify57.0ms (1.9%)

eval321.0ms (10.5%)

prune85.0ms (2.8%)

localize3.0ms (0.1%)

localize43.0ms (1.4%)

series1.0ms (0%)

rewrite138.0ms (4.5%)

simplify133.0ms (4.4%)

eval462.0ms (15.1%)

prune49.0ms (1.6%)

regimes26.0ms (0.9%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end23.0ms (0.7%)

Profiling