Metrics for Hyperbolic arc-(co)secant

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.0s (43%)

Results

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

Bogosity

preprocess309.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1658×	`fma-def`
1232×	`sub-neg`
1138×	`distribute-lft-out`
866×	`associate-+r+`
724×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	47	216
2	71	216
3	130	216
4	188	216
5	273	216
6	406	216
7	691	216
8	1312	216
9	2187	216
10	4862	216
11	6573	216
12	7342	216
13	7640	216
14	7696	216
15	7728	216
16	7975	216

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize71.0ms (1.5%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite204.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`log1p-expm1-u`
1032×	`expm1-log1p-u`
840×	`fma-def`
346×	`fma-neg`
322×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	205	65
2	2938	65

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1214×	`fma-def`
1002×	`fma-neg`
580×	`sub-neg`
442×	`associate-/r*`
410×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	3228
1	510	2957
2	1608	2891
3	6391	2790

Stop Event

1×	node limit

Counts

72 → 151

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -5/96 (pow.f64 x 6))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) 1)
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(.f64 1 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2))))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(-.f64 (fma.f64 -1/4 (pow.f64 x 2) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/96 (pow.f64 x 6) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (fma.f64 -1/4 (pow.f64 x 2) (log.f64 2)) (log.f64 x)) (fma.f64 -5/96 (pow.f64 x 6) (*.f64 -3/32 (pow.f64 x 4))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 1/6 (.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (+.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (/.f64 -1 (.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 -1/6 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (+.f64 (/.f64 -1/6 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))) (/.f64 -3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 (pow.f64 x 2) -1/2 (fma.f64 (pow.f64 x 4) -1/8 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/2 (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 6) -1/16))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))))
(-.f64 (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (+.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)) (log.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) 1)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (*.f64 -2 (log.f64 x)))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (*.f64 (log.f64 x) -2))
(fma.f64 (log.f64 x) -2 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(fma.f64 (log.f64 x) -2 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (.f64 (+.f64 (-.f64 1 (pow.f64 x 2)) 1) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(-.f64 (log.f64 (.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)))) (log.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (neg.f64 (pow.f64 x 2)) 2)) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(-.f64 (+.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)) (*.f64 -3 (log.f64 x))) (log.f64 (-.f64 (+.f64 -1 (pow.f64 x -2)) (fma.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x -2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(-.f64 (log.f64 (*.f64 (+.f64 (neg.f64 (-.f64 1 (pow.f64 x 2))) 1) (pow.f64 x -2))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (+.f64 (pow.f64 x 2) 1)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(.f64 1 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 3)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3) 1/3)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 3/2)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2))))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))

eval65.0ms (1.4%)

Compiler: Compiled 3045 to 2535 computations (16.7% saved)

prune19.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	148	4	152

Accuracy

100.0%

Counts

152 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
▶	99.2%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

Compiler

Compiled 80 to 62 computations (22.5% saved)

localize125.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

Compiler

Compiled 69 to 49 computations (29% saved)

series98.0ms (2.1%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
22.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
22.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
15.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
6.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

rewrite158.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`fma-def`
865×	`log1p-expm1-u`
865×	`expm1-log1p-u`
420×	`expm1-udef`
416×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	295	79
2	4049	79

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

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

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

194×	`fma-udef`
82×	`sqr-pow`
80×	`sub-neg`
80×	`+-commutative`
72×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	7610
1	1449	7610

Stop Event

1×

unsound

Counts

323 → 295

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -5/96 (pow.f64 x 6))))) (log.f64 x))
(log.f64 (sqrt.f64 -1))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2))))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) -1)
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) -1)
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) -1)
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) -1)
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) -1)
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(+.f64 (log.f64 2) -1)
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))
(+.f64 (log.f64 2) -1)
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -5/96 (pow.f64 x 6))))) (log.f64 x))
(+.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -5/96 (pow.f64 x 6)) -1)) -1)
(log.f64 (sqrt.f64 -1))
-1
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 -1 (*.f64 x -1)) -1)
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (/.f64 -1 (.f64 x -1)) -1) (/.f64 -1 (neg.f64 (.f64 x -1))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (.f64 x -1)) (/.f64 -1 (.f64 (pow.f64 x 5) -1))) (/.f64 -1 (neg.f64 (*.f64 x -1)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (log.f64 -1))
-1
(-.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (log.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 -1 (/.f64 -1 (*.f64 x -1)))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (log.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 -1 (-.f64 (/.f64 -1 (neg.f64 (.f64 x -1))) (+.f64 (/.f64 -1 (.f64 x -1)) -1)))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (log.f64 -1) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 -1 (-.f64 (/.f64 -1 (neg.f64 (.f64 x -1))) (+.f64 (+.f64 (/.f64 -1 (.f64 x -1)) (/.f64 -1 (*.f64 (pow.f64 x 5) -1))) -1)))
1
-1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
-1
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
-1
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 6) -1/16) -1)
(*.f64 x (sqrt.f64 -1))
(*.f64 x -1)
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x -1 (/.f64 -1 (*.f64 x -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x -1 (/.f64 -1 (.f64 x -1))) (/.f64 -1 (neg.f64 (.f64 x -1))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (/.f64 -1 (.f64 (pow.f64 x 5) -1)) (fma.f64 x -1 (/.f64 -1 (.f64 x -1)))) (/.f64 -1 (neg.f64 (*.f64 x -1))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(neg.f64 (*.f64 x -1))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (neg.f64 (.f64 x -1)) (/.f64 -1 (.f64 x -1)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (.f64 x -1) (/.f64 -1 (neg.f64 (.f64 x -1)))) (/.f64 -1 (*.f64 x -1)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (.f64 x -1) (/.f64 -1 (neg.f64 (.f64 x -1)))) (+.f64 (/.f64 -1 (.f64 x -1)) (/.f64 -1 (.f64 (pow.f64 x 5) -1))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 2) -1)
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(+.f64 (log.f64 (/.f64 0 0)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 -1 (+.f64 (log.f64 x) -1))
(+.f64 (log.f64 (/.f64 0 0)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 0 0)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
-1
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) -1)
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-1
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 2 x)) -1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) 0)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) -1)
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log.f64 x) (log.f64 (.f64 2 x)) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 x) 3) (fma.f64 (log.f64 x) (log.f64 (.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (log.f64 2) -1 -1) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) -1))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (.f64 2 x))))
(-.f64 (/.f64 -1 (log.f64 (.f64 2 x))) (/.f64 -1 (log.f64 (.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 0 0)))
-1
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-1
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(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
-1
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
-1
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
-1
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
-1
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
-1
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
-1
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
-1
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(hypot.f64 -1 -1)
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
-1
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
-1
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
-1
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
-1

eval100.0ms (2.2%)

Compiler: Compiled 5020 to 3452 computations (31.2% saved)

prune42.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	292	3	295
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	292	7	299

Accuracy

100.0%

Counts

299 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.6%	(/.f64 -1 (+.f64 (log.f64 2) -1))
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	5.3%	(+.f64 (/.f64 -1 (*.f64 x -1)) -1)
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
	1.6%	-1
▶	14.6%	(/.f64 -1 (+.f64 (log.f64 2) -1))
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.2%	(-.f64 (log.f64 2) (log.f64 x))
▶	5.3%	(+.f64 (/.f64 -1 (*.f64 x -1)) -1)
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
	1.6%	-1

Compiler

Compiled 114 to 94 computations (17.5% saved)

localize62.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	98.4%	(/.f64 -1 (+.f64 (log.f64 2) -1))
✓	100.0%	(+.f64 (/.f64 -1 (*.f64 x -1)) -1)

Compiler

Compiled 33 to 29 computations (12.1% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite100.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log1p-expm1-u`
775×	`expm1-log1p-u`
738×	`log-prod`
346×	`pow-exp`
344×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	180	33
2	2673	33

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2076×	`fma-def`
494×	`div-sub`
484×	`distribute-lft-in`
472×	`exp-prod`
468×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2322
1	462	2244
2	1234	2057
3	4565	1976

Stop Event

1×	node limit

Counts

94 → 108

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

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

eval28.0ms (0.6%)

Compiler: Compiled 1136 to 1033 computations (9.1% saved)

prune20.0ms (0.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	1	1
Picked	1	1	2
Done	0	4	4
Total	107	8	115

Accuracy

100.0%

Counts

115 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.3%	(/.f64 1 x)
✓	14.6%	(/.f64 -1 (+.f64 (log.f64 2) -1))
▶	5.3%	(-.f64 (/.f64 1 x) 1)
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.2%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
	1.6%	-1
▶	5.3%	(/.f64 1 x)
✓	14.6%	(/.f64 -1 (+.f64 (log.f64 2) -1))
▶	5.3%	(-.f64 (/.f64 1 x) 1)
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.2%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
	1.6%	-1

Compiler

Compiled 118 to 96 computations (18.6% saved)

localize31.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`unpow-prod-down`
359×	`log1p-expm1-u`
359×	`expm1-log1p-u`
338×	`add-exp-log`
328×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	88	16
2	1094	16

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (/.f64 1 x))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (+.f64 (/.f64 1 x) -1) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.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 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 (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))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -3) -1))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.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)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1060×	`distribute-lft-in`
1032×	`distribute-rgt-in`
926×	`div-sub`
744×	`fma-def`
556×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1958
1	376	1862
2	1130	1832
3	6139	1820

Stop Event

1×	node limit

Counts

63 → 81

Calls

Call 1

Inputs
(/.f64 1 x)
-1
-1
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 -1 (/.f64 1 x))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (+.f64 (/.f64 1 x) -1) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.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 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 (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))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -3) -1))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.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)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) -1)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)

Outputs
(/.f64 1 x)
-1
-1
(+.f64 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(+.f64 (/.f64 1 x) -1)
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (/.f64 1 x) -1)
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(+.f64 (/.f64 1 x) -1)
(*.f64 (+.f64 (/.f64 1 x) -1) (log.f64 (E.f64)))
(+.f64 (/.f64 1 x) -1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 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 (/.f64 1 x) -1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(+.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 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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 (/.f64 1 x) -1)
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(+.f64 (/.f64 1 x) -1)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)) 1/3))
(+.f64 (/.f64 1 x) -1)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))))
(+.f64 (/.f64 1 x) -1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.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 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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 (neg.f64 (+.f64 (pow.f64 x -3) -1)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -3) -1))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x -3)) (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) (+.f64 (pow.f64 x -2) -1))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x -2)) (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(+.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(+.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(+.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(+.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(+.f64 (/.f64 1 x) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1)) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 -1 (pow.f64 x -3))))
(/.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))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1)) -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)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(+.f64 (/.f64 1 x) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) -1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(+.f64 (/.f64 1 x) -1)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x -3)) 3) (pow.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x -3)) 3) (pow.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x -3)) 3) (pow.f64 (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 x -3)) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x))) 3))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(+.f64 (/.f64 1 x) -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(+.f64 (/.f64 1 x) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(+.f64 (/.f64 1 x) -1)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) -1)
(fma.f64 1 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 x) 1 -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) -1)
(+.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(+.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 x) 3)))
(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)
(+.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(+.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 x) 3)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1) -1)
(+.f64 (/.f64 1 x) -1)

eval24.0ms (0.5%)

Compiler: Compiled 1073 to 910 computations (15.2% saved)

prune15.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	2	2
Done	0	5	5
Total	81	8	89

Accuracy

100.0%

Counts

89 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.3%	(/.f64 1 x)
✓	14.6%	(/.f64 -1 (+.f64 (log.f64 2) -1))
✓	5.3%	(-.f64 (/.f64 1 x) 1)
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
✓	99.2%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
	1.6%	-1

Compiler

Compiled 118 to 94 computations (20.3% saved)

regimes20.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 88 to 66 computations (25% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 (+.f64 (log.f64 2) -1))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
14.6%	1	`x`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes13.0ms (0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`*-commutative`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	36	124
2	45	124
3	54	124
4	56	124

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 42 to 34 computations (19% saved)

soundness637.0ms (13.8%)

Rules

1214×	`fma-def`
1152×	`fma-def`
1032×	`log1p-expm1-u`
1032×	`expm1-log1p-u`
1002×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	205	65
2	2938	65
0	213	3228
1	510	2957
2	1608	2891
3	6391	2790
0	444	7610
1	1449	7610
0	444	7610
1	1449	7610
0	19	97
1	295	79
2	4049	79
0	444	7610
1	1449	7610

Stop Event

1×	unsound
1×	node limit
1×	unsound
1×	unsound
1×	node limit
1×	node limit

Compiler

Compiled 271 to 198 computations (26.9% saved)

end0.0ms (0%)

preprocess49.0ms (1.1%)

Compiler: Compiled 102 to 78 computations (23.5% saved)

analyze4.0ms (0.1%)

sample2.0s (43%)

preprocess309.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (1.5%)

series4.0ms (0.1%)

rewrite204.0ms (4.4%)

simplify103.0ms (2.2%)

eval65.0ms (1.4%)

prune19.0ms (0.4%)

localize125.0ms (2.7%)

series98.0ms (2.1%)

rewrite158.0ms (3.4%)

simplify72.0ms (1.6%)

eval100.0ms (2.2%)

prune42.0ms (0.9%)

localize62.0ms (1.3%)

series0.0ms (0%)

rewrite100.0ms (2.2%)

simplify81.0ms (1.7%)

eval28.0ms (0.6%)

prune20.0ms (0.4%)

localize31.0ms (0.7%)

series0.0ms (0%)

rewrite76.0ms (1.6%)

simplify75.0ms (1.6%)

eval24.0ms (0.5%)

prune15.0ms (0.3%)

regimes20.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness637.0ms (13.8%)

end0.0ms (0%)

preprocess49.0ms (1.1%)

Profiling