Metrics for neg log

analyze6.0ms (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)

sample1.5s (41.7%)

Results

1.5s	8256×	body	256	valid
2.0ms	21×	body	256	invalid

Bogosity

preprocess24.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

22×	`sub-neg`
16×	`+-commutative`
12×	`fma-def`
6×	`*-commutative`
6×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	26	63
2	36	63
3	41	63
4	54	63
5	64	63
6	73	63

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval1.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize47.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 (/.f64 1 x) 1))
✓	100.0%	(-.f64 (/.f64 1 x) 1)

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite75.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`pow1`
1404×	`add-exp-log`
1402×	`log1p-expm1-u`
1402×	`expm1-log1p-u`
1372×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	163	30
2	2026	30

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

simplify86.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1086×	`fma-neg`
978×	`fma-def`
730×	`log-prod`
674×	`div-sub`
664×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1630
1	337	1426
2	1126	1402
3	5617	1402

Stop Event

1×	node limit

Counts

70 → 94

Calls

Call 1

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

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

eval69.0ms (1.9%)

Compiler: Compiled 1178 to 969 computations (17.7% saved)

prune24.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	7	95

Accuracy

100.0%

Counts

95 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
▶	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	98.6%	(neg.f64 (neg.f64 (log.f64 x)))
	52.3%	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
▶	98.6%	(neg.f64 (log.f64 (/.f64 1 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0%	(neg.f64 (log.f64 -1))
▶	100.0%	(neg.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
▶	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	98.6%	(neg.f64 (neg.f64 (log.f64 x)))
	52.3%	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
▶	98.6%	(neg.f64 (log.f64 (/.f64 1 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0%	(neg.f64 (log.f64 -1))

Compiler

Compiled 208 to 178 computations (14.4% saved)

localize167.0ms (4.7%)

Compiler: Compiled 95 to 62 computations (34.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune51.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	1	1
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
✓	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	98.6%	(neg.f64 (neg.f64 (log.f64 x)))
▶	52.3%	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓	98.6%	(neg.f64 (log.f64 (/.f64 1 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0%	(neg.f64 (log.f64 -1))
✓	100.0%	(neg.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
✓	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	98.6%	(neg.f64 (neg.f64 (log.f64 x)))
▶	52.3%	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓	98.6%	(neg.f64 (log.f64 (/.f64 1 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0%	(neg.f64 (log.f64 -1))

Compiler

Compiled 112 to 96 computations (14.3% saved)

localize154.0ms (4.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1)))
✓	53.8%	(/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))

Compiler

Compiled 58 to 47 computations (19% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite322.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`log-prod`
704×	`pow-prod-down`
584×	`pow-prod-up`
570×	`pow-exp`
514×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	284	30
2	3552	30

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

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

simplify97.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

938×	`unswap-sqr`
690×	`fma-neg`
626×	`log-prod`
538×	`cancel-sign-sub-inv`
404×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	4385
1	943	4203
2	3202	4157

Stop Event

1×	node limit

Counts

161 → 221

Calls

Call 1

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

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

eval184.0ms (5.2%)

Compiler: Compiled 3894 to 3320 computations (14.7% saved)

prune151.0ms (4.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	221	7	228

Accuracy

100.0%

Counts

228 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1))
✓	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	98.6%	(neg.f64 (neg.f64 (log.f64 x)))
✓	52.3%	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (-.f64 (/.f64 1 x) -1))))
✓	98.6%	(neg.f64 (log.f64 (/.f64 1 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0%	(neg.f64 (log.f64 -1))

Compiler

Compiled 106 to 88 computations (17% saved)

regimes96.0ms (2.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
19.0ms	(-.f64 (/.f64 1 x) 1)
18.0ms	(/.f64 1 x)
17.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
16.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
100.0%	1	`(log.f64 (-.f64 (/.f64 1 x) 1))`
100.0%	1	`(-.f64 (/.f64 1 x) 1)`
100.0%	1	`(/.f64 1 x)`

Compiler

Compiled 77 to 62 computations (19.5% saved)

regimes32.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 1 x)
13.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 1 x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes30.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 1 x)
12.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(/.f64 1 x)`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes14.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

54×	`unsub-neg`
38×	`neg-mul-1`
26×	`sub-neg`
26×	`distribute-neg-in`
26×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	33	54
2	58	46
3	93	46
4	128	46
5	147	46
6	164	46
7	177	46

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 (log.f64 -1))

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

Compiler

Compiled 20 to 16 computations (20% saved)

soundness374.0ms (10.6%)

Rules

1086×	`fma-neg`
1086×	`fma-neg`
978×	`fma-def`
978×	`fma-def`
730×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1630
1	337	1426
2	1126	1402
3	5617	1402
0	148	1630
1	337	1426
2	1126	1402
3	5617	1402

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 33 computations (34% saved)

end0.0ms (0%)

preprocess31.0ms (0.9%)

Compiler: Compiled 50 to 38 computations (24% saved)

analyze6.0ms (0.2%)

sample1.5s (41.7%)

preprocess24.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize47.0ms (1.3%)

series2.0ms (0.1%)

rewrite75.0ms (2.1%)

simplify86.0ms (2.4%)

eval69.0ms (1.9%)

prune24.0ms (0.7%)

localize167.0ms (4.7%)

eval0.0ms (0%)

prune51.0ms (1.4%)

localize154.0ms (4.3%)

series2.0ms (0.1%)

rewrite322.0ms (9.1%)

simplify97.0ms (2.7%)

eval184.0ms (5.2%)

prune151.0ms (4.3%)

regimes96.0ms (2.7%)

regimes32.0ms (0.9%)

regimes30.0ms (0.8%)

regimes14.0ms (0.4%)

simplify28.0ms (0.8%)

soundness374.0ms (10.6%)

end0.0ms (0%)

preprocess31.0ms (0.9%)

Profiling