Metrics for Hyperbolic arc-cosine

analyze71.0ms (1.7%)

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
25%	25%	75%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
40%	25%	37.5%	0%	0%	37.5%	0%	5
44.4%	25%	31.2%	0%	0%	43.7%	0%	6
47.1%	25%	28.1%	0%	0%	46.9%	0%	7
48.5%	25%	26.5%	0%	0%	48.4%	0%	8
49.2%	25%	25.8%	0%	0%	49.2%	0%	9
49.6%	25%	25.4%	0%	0%	49.6%	0%	10
49.8%	25%	25.2%	0%	0%	49.8%	0%	11
49.9%	25%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.6s (64.3%)

Results

1.1s	4137×	body	2048	invalid
966.0ms	8256×	body	256	valid
381.0ms	2004×	body	1024	invalid
122.0ms	978×	body	512	invalid
76.0ms	1094×	body	256	invalid
4.0ms	11×	body	4096	invalid

Bogosity

preprocess201.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
1306×	`distribute-lft-out`
1242×	`distribute-rgt-out--`
1042×	`unsub-neg`
932×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	40	69
2	73	69
3	168	69
4	400	69
5	903	69
6	1683	69
7	3194	69
8	4234	69
9	4874	69
10	5164	69
11	5472	69
12	5626	69
13	5699	69
14	5910	69
15	6677	69
16	6858	69

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize46.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	55.6%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`fma-def`
902×	`log-prod`
770×	`prod-exp`
618×	`pow-prod-down`
496×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	214	55
2	2915	55

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

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

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
638×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1026	6067
2	2981	5743

Stop Event

1×	node limit

Counts

189 → 279

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

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

eval104.0ms (2.5%)

Compiler: Compiled 4692 to 3409 computations (27.3% saved)

prune36.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	4	280

Accuracy

100.0%

Counts

280 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))
▶	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize75.0ms (1.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	99.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series98.0ms (2.4%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
23.0ms	x	@	0	(log.f64 (+.f64 x x))
20.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
16.0ms	x	@	-inf	(log.f64 (+.f64 x x))
6.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite87.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`fma-def`
1076×	`log-prod`
656×	`fma-neg`
530×	`pow-exp`
434×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	325	41
2	4284	41

Stop Event

1×	node limit

Counts

3 → 332

Calls

Call 1

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

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

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

184×	`sub-neg`
108×	`*-commutative`
92×	`+-commutative`
86×	`fma-udef`
86×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	1418
1	1755	1418

Stop Event

1×

unsound

Counts

364 → 258

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 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 -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 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
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(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log1p.f64 1) (log.f64 x))
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(+.f64 (log.f64 x) (log1p.f64 1))
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(+.f64 0 (log.f64 (/.f64 0 0)))
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(+.f64 (log.f64 8) (*.f64 3 (log.f64 x)))
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(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3)))) (log.f64 (.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
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(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 1)) (log.f64 (*.f64 2 (pow.f64 x 3))))
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(-.f64 (log.f64 (*.f64 1/2 (/.f64 0 0))) (log.f64 x))
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(*.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 3 (log.f64 (/.f64 0 0)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
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(-.f64 (log.f64 (neg.f64 (fma.f64 x 2 (/.f64 0 0)))) (log.f64 (neg.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(-.f64 (log.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 x 2 (-.f64 (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 -1/2 x)))))
(-.f64 (log.f64 (-.f64 (/.f64 0 0) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))) (log.f64 (-.f64 (/.f64 0 0) (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 (.f64 2 (pow.f64 x 3)) x (.f64 (fma.f64 x x 0) 1/2))) (log.f64 (*.f64 (fma.f64 x x 0) x)))
(-.f64 (log.f64 (fma.f64 (.f64 2 (pow.f64 x 3)) (/.f64 0 0) (.f64 (fma.f64 x x 0) 1))) (log.f64 (*.f64 2 (pow.f64 x 3))))
(-.f64 (log.f64 (fma.f64 (.f64 2 (pow.f64 x 3)) (neg.f64 x) (.f64 (fma.f64 x x 0) -1/2))) (log.f64 (*.f64 (fma.f64 x x 0) (neg.f64 x))))
(*.f64 2 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(*.f64 1/2 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(*.f64 1/3 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2)
(neg.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))) (fma.f64 x 2 (/.f64 0 0)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 0 0)) 1))
(fma.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 1 (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(fma.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) 1 (neg.f64 (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 1 (log.f64 (fma.f64 x 2 (/.f64 0 0))) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(fma.f64 1 (log.f64 (fma.f64 x 2 (/.f64 0 0))) (neg.f64 (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(fma.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2) (neg.f64 (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (log.f64 (fma.f64 x 2 (/.f64 0 0))))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0)))) (neg.f64 (log.f64 (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))))
(-.f64 (log.f64 x) (log.f64 1/2))
(-.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (log.f64 1/2) (log.f64 (*.f64 x (/.f64 0 0))))
(-.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 0 0) x)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 (neg.f64 x))))
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(-.f64 0 (log.f64 (/.f64 (/.f64 0 0) 1)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 0) (log.f64 (*.f64 0 x)))
(-.f64 (log.f64 0) (log.f64 (*.f64 0 (neg.f64 x))))
(-.f64 (log.f64 0) (log.f64 (*.f64 0 (/.f64 0 0))))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 (*.f64 (/.f64 0 0) (neg.f64 x))))
(-.f64 (log.f64 -1/2) (log.f64 (*.f64 (neg.f64 x) (/.f64 0 0))))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 1/2 (cbrt.f64 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 -1/2))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1/2 (sqrt.f64 x))))
(-.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 1/4) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 1/4) (log.f64 (*.f64 (neg.f64 x) (neg.f64 x))))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 1/8) (*.f64 3 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1/2 x)))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (/.f64 1/2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (*.f64 0 (/.f64 0 0))) (log.f64 0))
(-.f64 (log.f64 (cbrt.f64 -1/2)) (log.f64 (cbrt.f64 (neg.f64 x))))
(-.f64 (log.f64 -1/8) (log.f64 (pow.f64 (neg.f64 x) 3)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3)))) (log.f64 (.f64 (fma.f64 x x 0) (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (sqrt.f64 -1/2)) (log.f64 (sqrt.f64 (neg.f64 x))))
(-.f64 (log.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3)) (log.f64 (pow.f64 (fma.f64 x x 0) 3)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 1/2)) (log.f64 (*.f64 (fma.f64 x x 0) x)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 1)) (log.f64 (*.f64 2 (pow.f64 x 3))))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) -1/2)) (log.f64 (*.f64 (fma.f64 x x 0) (neg.f64 x))))
(-.f64 (log.f64 -1/4) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 -1/4) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 2 (pow.f64 x 3)))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (*.f64 (/.f64 0 0) -1/2)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 1/2 (/.f64 0 0))) (log.f64 x))
(-.f64 (log.f64 (*.f64 -1/2 (/.f64 0 0))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (/.f64 0 0))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 2 (log.f64 (/.f64 0 0)))
(*.f64 1/2 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.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 3 (log.f64 (/.f64 0 0)))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 -1 (log.f64 (/.f64 0 0)))
(*.f64 1/3 (log.f64 (/.f64 0 0)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 1) 2)) (log.f64 (/.f64 x 2)))
(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)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (/.f64 0 0)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 0 0) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -1))))
(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))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 0 0))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 0 0)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 x) (log1p.f64 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))

Outputs
(+.f64 (log.f64 2) (log.f64 x))
-1
(+.f64 (log.f64 2) (log.f64 x))
-1
(+.f64 (log.f64 2) (log.f64 x))
-1
(+.f64 (log.f64 2) (log.f64 x))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-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 -1/2) (*.f64 -1 (log.f64 x)))
-1
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
-1
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
-1
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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-1
(fma.f64 (log1p.f64 1) 1 (log.f64 x))
-1
(fma.f64 (log.f64 x) 1 (log1p.f64 1))
-1
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log1p.f64 1) (log.f64 x))
-1
(fma.f64 1 (log.f64 x) (log1p.f64 1))
-1
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 -1 (log.f64 1/2) -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)))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log1p.f64 1))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
-1
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (log.f64 x))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
-1
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
-1
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
-1
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log1p.f64 1) 2))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(+.f64 (/.f64 -1 (-.f64 (log.f64 2) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) -1)
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) -1)

eval89.0ms (2.2%)

Compiler: Compiled 3020 to 2505 computations (17.1% saved)

prune37.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	256	6	262

Accuracy

100.0%

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	14.2%	(+.f64 -1 (log.f64 8))
✓	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
▶	14.2%	(+.f64 -1 (log.f64 8))
✓	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize27.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.4%	(+.f64 -1 (log.f64 8))

Compiler

Compiled 10 to 10 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`pow1`
1258×	`add-exp-log`
1258×	`log1p-expm1-u`
1258×	`expm1-log1p-u`
1234×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1660	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 -1 (log.f64 8))

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

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-neg`
866×	`div-sub`
690×	`cancel-sign-sub-inv`
652×	`associate-r`
568×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	813
1	188	663
2	591	643
3	4002	643

Stop Event

1×	node limit

Counts

31 → 38

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 -1 (log.f64 8))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (log.f64 8))) (/.f64 (pow.f64 (log.f64 8) 2) (-.f64 -1 (log.f64 8))))
(*.f64 (+.f64 -1 (log.f64 8)) 1)
(*.f64 1 (+.f64 -1 (log.f64 8)))
(*.f64 (cbrt.f64 (+.f64 -1 (log.f64 8))) (cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 8)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 8)) 2)) (cbrt.f64 (+.f64 -1 (log.f64 8))))
(*.f64 (sqrt.f64 (+.f64 -1 (log.f64 8))) (sqrt.f64 (+.f64 -1 (log.f64 8))))
(*.f64 (+.f64 -1 (pow.f64 (log.f64 8) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (log.f64 8) 2) (log.f64 8)))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 8) 2)) (/.f64 1 (-.f64 -1 (log.f64 8))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 8)) 1) (-.f64 (sqrt.f64 (log.f64 8)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (log.f64 8) 2) (log.f64 8))) (+.f64 -1 (pow.f64 (log.f64 8) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (log.f64 8)) (-.f64 1 (pow.f64 (log.f64 8) 2))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 8) 3)) (+.f64 1 (+.f64 (pow.f64 (log.f64 8) 2) (log.f64 8))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 8) 3)) (+.f64 (pow.f64 (log.f64 8) 2) (-.f64 1 (neg.f64 (log.f64 8)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 8) 2)) (-.f64 -1 (log.f64 8)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (log.f64 8) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (log.f64 8) 2) (log.f64 8)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 8) 2))) (neg.f64 (-.f64 -1 (log.f64 8))))
(/.f64 (-.f64 (pow.f64 (log.f64 8) 2) 1) (-.f64 (log.f64 8) -1))
(pow.f64 (+.f64 -1 (log.f64 8)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (log.f64 8))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (log.f64 8)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (log.f64 8))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (log.f64 8)) 2))
(log.f64 (*.f64 8 (exp.f64 -1)))
(cbrt.f64 (pow.f64 (+.f64 -1 (log.f64 8)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (log.f64 8))))
(exp.f64 (log.f64 (+.f64 -1 (log.f64 8))))
(log1p.f64 (expm1.f64 (+.f64 -1 (log.f64 8))))
(fma.f64 1 (log.f64 8) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 8)) 2) (cbrt.f64 (log.f64 8)) -1)
(fma.f64 (sqrt.f64 (log.f64 8)) (sqrt.f64 (log.f64 8)) -1)

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

eval39.0ms (0.9%)

Compiler: Compiled 406 to 406 computations (0% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	38	6	44

Accuracy

100.0%

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	14.2%	(+.f64 -1 (log.f64 8))
✓	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	14.2%	(+.f64 -1 (log.f64 8))
✓	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 (log.f64 2) (log.f64 x))
✓	14.2%	(+.f64 -1 (log.f64 8))
✓	99.1%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))
	1.6%	-1

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes27.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 8))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

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

Calls

3 calls:

16.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.1%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
(log.f64 (+.f64 x x))
(+.f64 -1 (log.f64 8))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (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

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	16	35
2	22	35
3	26	35
4	29	35
5	30	35

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness129.0ms (3.1%)

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
638×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1026	6067
2	2981	5743
0	590	1418
1	1755	1418

Stop Event

1×	unsound
1×	node limit

Compiler

Compiled 39 to 31 computations (20.5% saved)

end0.0ms (0%)

preprocess32.0ms (0.8%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

analyze71.0ms (1.7%)

sample2.6s (64.3%)

preprocess201.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1.1%)

series4.0ms (0.1%)

rewrite83.0ms (2%)

simplify101.0ms (2.4%)

eval104.0ms (2.5%)

prune36.0ms (0.9%)

localize75.0ms (1.8%)

series98.0ms (2.4%)

rewrite87.0ms (2.1%)

simplify55.0ms (1.3%)

eval89.0ms (2.2%)

prune37.0ms (0.9%)

localize27.0ms (0.7%)

series0.0ms (0%)

rewrite50.0ms (1.2%)

simplify51.0ms (1.2%)

eval39.0ms (0.9%)

prune8.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes27.0ms (0.6%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness129.0ms (3.1%)

end0.0ms (0%)

preprocess32.0ms (0.8%)

Profiling