Metrics for qlog (example 3.10)

analyze391.0ms (4.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.2s (76.4%)

Results

4.0s	4170×	body	1024	valid
1.3s	2082×	body	512	valid
504.0ms	431×	body	2048	valid
298.0ms	1573×	body	256	valid

Bogosity

preprocess327.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4580×	`fma-def`
3900×	`associate-+r+`
3404×	`associate-+l+`
504×	`distribute-lft-out`
358×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	28	38
2	43	38
3	74	38
4	113	38
5	157	38
6	185	38
7	210	38
8	241	38
9	338	38
10	404	38
11	478	38
12	523	38
13	531	38
14	533	38
15	755	38
16	1016	38
17	1149	38
18	1313	38
19	1319	38
20	1319	38
21	2143	38
22	2398	38
23	2646	38
24	2779	38
25	2794	38
26	2794	38
27	4548	38
28	4548	38
29	4548	38
30	4548	38
31	4548	38
32	7751	38
33	7800	38
34	7982	38

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	36	19
5	46	19
6	60	19
7	76	19
8	80	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize30.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`pow1`
1116×	`add-exp-log`
1116×	`log1p-expm1-u`
1116×	`expm1-log1p-u`
1088×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	15
2	2156	15

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-/r*`
1032×	`fma-def`
852×	`times-frac`
590×	`associate-/l*`
574×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2430
1	586	2216
2	1772	2030

Stop Event

1×	node limit

Counts

42 → 73

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

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

eval53.0ms (0.7%)

Compiler: Compiled 3252 to 2322 computations (28.6% saved)

prune11.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Accurracy

100.0%

Counts

74 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 -1 x)
▶	99.8%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	99.0%	-1
▶	99.8%	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 -1 x)
▶	99.8%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	99.0%	-1

Compiler

Compiled 64 to 46 computations (28.1% saved)

localize55.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 48 to 26 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
0.0ms	x	@	-inf	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
0.0ms	x	@	0	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`pow1`
1708×	`add-exp-log`
1708×	`log1p-expm1-u`
1708×	`expm1-log1p-u`
1674×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	190	21
2	2259	21

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1296×	`times-frac`
842×	`fma-neg`
694×	`fma-def`
574×	`associate-+l-`
520×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	945
1	172	813
2	777	669
3	3569	625

Stop Event

1×	node limit

Counts

35 → 45

Calls

Call 1

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

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

eval13.0ms (0.2%)

Compiler: Compiled 618 to 438 computations (29.1% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	1	1
Picked	1	2	3
Done	0	1	1
Total	45	5	50

Accurracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.8%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.6%	(-.f64 -1 x)
✓	99.8%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	99.0%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.8%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.6%	(-.f64 -1 x)
✓	99.8%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	99.0%	-1

Compiler

Compiled 66 to 48 computations (27.3% saved)

localize35.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`prod-diff`
948×	`log-prod`
934×	`fma-def`
646×	`pow-prod-down`
436×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	205	21
2	2738	21

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

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

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-lft-in`
726×	`distribute-rgt-in`
552×	`associate-+l+`
472×	`associate-+r+`
470×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	5338
1	747	4702
2	2057	4640
3	7560	4640

Stop Event

1×	node limit

Counts

160 → 178

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 (-.f64 -1 x) 1))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) -1) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (.f64 x x) -1) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
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(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -1/2 (*.f64 x x) -1))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x -1/2)) 2)) (cbrt.f64 (.f64 x -1/2)) (.f64 (-.f64 -1 x) 1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/2))) (sqrt.f64 (.f64 x -1/2)) (.f64 (-.f64 -1 x) 1))
(fma.f64 (.f64 (.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (.f64 (.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 -1 x) 1))
(fma.f64 (.f64 (.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (.f64 (.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 -1 x) 1))

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

eval57.0ms (0.7%)

Compiler: Compiled 3016 to 1888 computations (37.4% saved)

prune24.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	178	5	183

Accurracy

100.0%

Counts

183 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.8%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.6%	(-.f64 -1 x)
▶	99.8%	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	99.0%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.8%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.6%	(-.f64 -1 x)
▶	99.8%	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	99.0%	-1

Compiler

Compiled 66 to 48 computations (27.3% saved)

localize34.0ms (0.4%)

Compiler: Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.8%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.6%	(-.f64 -1 x)
✓	99.8%	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	99.0%	-1

Compiler

Compiled 88 to 61 computations (30.7% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	23	52
2	27	52
3	28	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

soundness373.0ms (4.6%)

Rules

1850×	`pow1`
1708×	`add-exp-log`
1708×	`log1p-expm1-u`
1708×	`expm1-log1p-u`
1674×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	36	19
5	46	19
6	60	19
7	76	19
8	80	19
0	188	2430
1	586	2216
2	1772	2030
0	188	2430
1	586	2216
2	1772	2030
0	9	21
1	190	21
2	2259	21
0	312	5338
1	747	4702
2	2057	4640
3	7560	4640

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 300 to 216 computations (28% saved)

end0.0ms (0%)

preprocess48.0ms (0.6%)

Compiler: Compiled 94 to 70 computations (25.5% saved)

analyze391.0ms (4.8%)

sample6.2s (76.4%)

preprocess327.0ms (4.1%)

simplify5.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.4%)

series5.0ms (0.1%)

rewrite51.0ms (0.6%)

simplify52.0ms (0.6%)

eval53.0ms (0.7%)

prune11.0ms (0.1%)

localize55.0ms (0.7%)

series1.0ms (0%)

rewrite57.0ms (0.7%)

simplify56.0ms (0.7%)

eval13.0ms (0.2%)

prune8.0ms (0.1%)

localize35.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (0.9%)

simplify106.0ms (1.3%)

eval57.0ms (0.7%)

prune24.0ms (0.3%)

localize34.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness373.0ms (4.6%)

end0.0ms (0%)

preprocess48.0ms (0.6%)

Profiling