Details

analyze88.0ms (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
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.5s (48.3%)

Results

1.2s	2636×	body	1024	valid
605.0ms	1283×	body	2048	valid
327.0ms	3042×	body	256	valid
310.0ms	1257×	body	512	valid
21.0ms	38×	body	4096	valid

Bogosity

preprocess12.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% 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

29.9%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.8%	(+.f64 x (hypot.f64 1 x))
✓	94.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

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

Outputs

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

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

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.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 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval55.0ms (1.1%)

Compiler: Compiled 1894 to 1401 computations (26% saved)

prune26.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Accurracy

100.0%

Counts

138 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.1%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	32.7%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	29.2%	(log.f64 (/.f64 -1/2 x))
▶	26.9%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	29.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	26.3%	(log.f64 (+.f64 x x))
	47.8%	x

Compiler

Compiled 85 to 64 computations (24.7% saved)

localize8.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	100.0%	(pow.f64 x 3)
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 3)
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(pow.f64 x 3)
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1614×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	180	35
2	2169	35

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(((-.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3)))) 1) (2)) ((pow.f64 (.f64 -1/6 (pow.f64 x 3)) 1) (2)) ((pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) (2)) ((pow.f64 (.f64 x (cbrt.f64 -1/6)) 3) (2)) ((pow.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) 1/3) (2)) ((sqrt.f64 (.f64 (pow.f64 x 6) 1/36)) (2)) ((log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))) (2)) ((cbrt.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (2)) ((expm1.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) (2)) ((.f64 x (.f64 x x)) (2)) ((.f64 (pow.f64 x 3) 1) (2)) ((.f64 1 (pow.f64 x 3)) (2)) ((.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) (2)) ((.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x x))) (2)) ((.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x x))) (2)) ((.f64 (.f64 x x) x) (2)) ((.f64 (.f64 (.f64 x x) 1) x) (2)) ((.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) (2)) ((.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) (2)) ((sqrt.f64 (pow.f64 x 6)) (2)) ((log.f64 (exp.f64 (pow.f64 x 3))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) (2)) ((cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 x 3))) (2)) ((exp.f64 (.f64 3 (log.f64 x))) (2)) ((exp.f64 (.f64 (*.f64 3 (log.f64 x)) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 x 3))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (2)) ((-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (2)) ((.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (2)) ((.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (2)) ((/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)))) (2)) ((/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)))) (2)) ((/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (.f64 -1/6 x))))) (2)) ((/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (.f64 -1/6 (pow.f64 x 3)))) (2)) ((/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (2)) ((pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((fma.f64 -1/6 (pow.f64 x 3) x) (2)) ((fma.f64 (pow.f64 x 3) -1/6 x) (2)) ((fma.f64 1 x (.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) x) (2)) ((fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3))) (2)))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1) (2)) ((pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (2)) ((pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) (2)) ((pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (2)) ((log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)))

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

(((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (2)) ((-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (2)) ((*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (2)) ((/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) (2)) ((/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)))) (2)) ((/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x))))) (2)) ((/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (2)) ((pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((fma.f64 -1/6 (pow.f64 x 3) x) (2)) ((fma.f64 (pow.f64 x 3) -1/6 x) (2)) ((fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x) (2)) ((fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) (2)))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

948×	`+-commutative`
800×	`unswap-sqr`
680×	`distribute-lft-in`
672×	`fma-def`
672×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1436
1	365	1386
2	1554	1318
3	7293	1318

Stop Event

1×	node limit

Counts

74 → 79

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(.f64 x (.f64 x x))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 (*.f64 x x) 1) x)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(.f64 x (.f64 x x))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(pow.f64 x 3)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(pow.f64 x 3)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(pow.f64 x 3)
(.f64 (.f64 x x) x)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) 1) x)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize20.0ms (0.4%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

localize13.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	98.9%	(-.f64 (hypot.f64 1 x) x)
✓	94.3%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2344	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
914×	`associate-*r/`
722×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	3606
1	835	3258
2	3314	3258

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.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 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.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) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (+.f64 -1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (+.f64 -1 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 0 x))
(+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(fabs.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

eval124.0ms (2.4%)

Compiler: Compiled 4194 to 3159 computations (24.7% saved)

prune40.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	297	8	305

Accurracy

100.0%

Counts

305 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.1%	(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
▶	32.8%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	30.2%	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	29.2%	(log.f64 (/.f64 -1/2 x))
✓	26.9%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	29.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	26.3%	(log.f64 (+.f64 x x))
	47.8%	x

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize14.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))

Compiler

Compiled 37 to 28 computations (24.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-*r/`
906×	`*-commutative`
722×	`associate-*l/`
612×	`associate-/r*`
410×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	221	21
2	2770	21

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify107.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
1010×	`*-commutative`
958×	`associate-*r/`
866×	`associate-/l*`
730×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3342
1	634	3098
2	2184	3028
3	7971	3028

Stop Event

1×	node limit

Counts

62 → 114

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (*.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (*.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -2)
(pow.f64 (sqrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 x -2)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 -2 x)))))
(/.f64 (fma.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 x (.f64 x 4) (/.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 x (.f64 x 4) (/.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (cbrt.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 64 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (.f64 -1/8 (/.f64 1/8 (pow.f64 x 3))) (pow.f64 x 3)))) (fma.f64 -8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4))) (fma.f64 64 (pow.f64 x 6) (/.f64 (/.f64 -1/64 (pow.f64 x 3)) (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (.f64 -512 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 64 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 -8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (/.f64 (fma.f64 -512 (pow.f64 (pow.f64 x 3) 3) (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))) (*.f64 64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 -512 (pow.f64 (pow.f64 x 3/2) 6) (/.f64 -1/512 (pow.f64 (pow.f64 x 3/2) 6)))) (fma.f64 64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)) (/.f64 1/64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (.f64 x (pow.f64 x 3)) (/.f64 -1/8 (.f64 x (.f64 2 (pow.f64 x 3))))) (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (pow.f64 x 4) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 1/64 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (/.f64 1/4 (.f64 x x)) (fma.f64 4 (.f64 x x) (/.f64 1/4 (.f64 x x))) (.f64 16 (.f64 x (pow.f64 x 3)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x (.f64 x 4) (/.f64 (/.f64 1/4 x) x)) (.f64 16 (pow.f64 x 4)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	98.9%	(-.f64 (hypot.f64 1 x) x)
✓	94.3%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1610×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1967	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
896×	`associate-r`
862×	`distribute-rgt-in`
850×	`associate-+l-`
746×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	993
1	285	897
2	974	897
3	4199	897

Stop Event

1×	node limit

Counts

33 → 76

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 5/112 (pow.f64 x 7))) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 x) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(log1p.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))

localize7.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
✓	99.8%	(.f64 (.f64 x x) x)
✓	99.8%	(.f64 -1/6 (.f64 (*.f64 x x) x))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (.f64 x x) x)
0.0ms	x	@	inf	(.f64 (.f64 x x) x)
0.0ms	x	@	0	(.f64 -1/6 (.f64 (*.f64 x x) x))
0.0ms	x	@	inf	(.f64 -1/6 (.f64 (*.f64 x x) x))
0.0ms	x	@	-inf	(.f64 -1/6 (.f64 (*.f64 x x) x))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1704×	`*-un-lft-identity`
1606×	`add-cube-cbrt`
1592×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	175	35
2	2237	35

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(.f64 -1/6 (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)

Outputs

(((-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1) (2)) ((pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (2)) ((pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) (2)) ((pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) (2)) ((pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (2)) ((log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (2)))

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

(((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (2)) ((-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))) (2)) ((*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 x x)))) (2)) ((*.f64 x (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) (2)) ((*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (2)) ((*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))) (2)) ((*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))))) (2)) ((*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) x) (2)) ((/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) (2)) ((/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)))) (2)) ((/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4))))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (pow.f64 x 4))))) (2)) ((/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))))) (2)) ((pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (2)) ((fma.f64 -1/6 (pow.f64 x 3) x) (2)) ((fma.f64 (pow.f64 x 3) -1/6 x) (2)) ((fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x) (2)) ((fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) (2)) ((fma.f64 (*.f64 -1/6 (*.f64 x x)) x x) (2)))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-neg-in`
786×	`unswap-sqr`
678×	`+-commutative`
498×	`fma-def`
498×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1842
1	344	1772
2	1285	1724
3	5241	1724

Stop Event

1×	node limit

Counts

104 → 76

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 x x))))
(.f64 x (+.f64 (.f64 -1/6 (*.f64 x x)) 1))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (*.f64 -1/6 (pow.f64 x 4))))))
(.f64 (+.f64 (.f64 -1/6 (*.f64 x x)) 1) x)
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4)))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 x x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 x (+.f64 (.f64 -1/6 (*.f64 x x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (*.f64 -1/6 (pow.f64 x 4))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(.f64 (+.f64 (.f64 -1/6 (*.f64 x x)) 1) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4)))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 x x) (.f64 -1/6 (pow.f64 x 4))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 -1/6 (pow.f64 x 3) x)

eval283.0ms (5.6%)

Compiler: Compiled 6275 to 4649 computations (25.9% saved)

prune86.0ms (1.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	352	8	360

Accurracy

100.0%

Counts

360 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.1%	(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
✓	32.8%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	30.2%	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	29.2%	(log.f64 (/.f64 -1/2 x))
✓	26.9%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	29.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	26.3%	(log.f64 (+.f64 x x))
	47.8%	x

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize14.0ms (0.3%)

Compiler: Compiled 34 to 25 computations (26.5% saved)

eval0.0ms (0%)

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

prune15.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.1%	(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
✓	32.8%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	30.2%	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	29.2%	(log.f64 (/.f64 -1/2 x))
✓	26.9%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	29.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	26.3%	(log.f64 (+.f64 x x))
	47.8%	x

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes71.0ms (1.4%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

54.0ms	x
7.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
85.9%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
85.9%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 106 to 73 computations (31.1% saved)

bsearch43.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.718839940691204e-16	2.633259986513615
23.0ms	-5.28874219743122	-2.178097494890699e-5

Results

38.0ms

304×

body

256

valid

Compiler

Compiled 384 to 266 computations (30.7% saved)

regimes20.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 63 to 44 computations (30.2% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.718839940691204e-16	2.633259986513615
17.0ms	-5.28874219743122	-2.178097494890699e-5

Results

32.0ms

304×

body

256

valid

Compiler

Compiled 402 to 284 computations (29.4% saved)

regimes24.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch65.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.718839940691204e-16	2.633259986513615
45.0ms	-5.28874219743122	-2.178097494890699e-5

Results

61.0ms

304×

body

256

valid

Compiler

Compiled 442 to 324 computations (26.7% saved)

regimes48.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch62.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	7.718839940691204e-16	2.633259986513615
27.0ms	-5.28874219743122	-2.178097494890699e-5

Results

58.0ms

304×

body

256

valid

Compiler

Compiled 382 to 264 computations (30.9% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch55.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	7.718839940691204e-16	2.633259986513615
26.0ms	-5.28874219743122	-2.178097494890699e-5

Results

51.0ms

304×

body

256

valid

Compiler

Compiled 337 to 228 computations (32.3% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)
(log.f64 (+.f64 x x))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.2%	2	`x`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.718839940691204e-16	2.633259986513615

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.8b remaining (-5.4%)

Threshold costs -1.8b (-5.4%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x)

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
47.8%	1	`x`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
18×	`*-commutative`
12×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	435
1	77	435
2	89	435
3	95	435
4	97	435

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -8854437155380585/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -8854437155380585/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8854437155380585/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 x (.f64 -1/6 (.f64 x (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/4611686018427387904) (+.f64 x (.f64 -1/6 (.f64 x (.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (.f64 -1/6 (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 -1/6 (.f64 (.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (.f64 -1/6 (.f64 x (.f64 x x)))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (.f64 -1/6 (.f64 x (*.f64 x x)))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 170 to 116 computations (31.8% saved)

soundness166.0ms (3.3%)

Algorithm

5×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941
0	305	3606
1	835	3258
2	3314	3258
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17

Stop Event

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

Compiler

Compiled 256 to 171 computations (33.2% saved)

end251.0ms (4.9%)

Compiler: Compiled 164 to 98 computations (40.2% saved)

Details

analyze88.0ms (1.7%)

sample2.5s (48.3%)

preprocess12.0ms (0.2%)

simplify18.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite63.0ms (1.2%)

simplify78.0ms (1.5%)

eval55.0ms (1.1%)

prune26.0ms (0.5%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.2%)

simplify76.0ms (1.5%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

localize20.0ms (0.4%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite70.0ms (1.4%)

simplify83.0ms (1.6%)

eval124.0ms (2.4%)

prune40.0ms (0.8%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite68.0ms (1.3%)

simplify107.0ms (2.1%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (1.2%)

simplify50.0ms (1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite67.0ms (1.3%)

simplify70.0ms (1.4%)

eval283.0ms (5.6%)

prune86.0ms (1.7%)

localize14.0ms (0.3%)

eval0.0ms (0%)

prune15.0ms (0.3%)

regimes71.0ms (1.4%)

bsearch43.0ms (0.8%)

regimes20.0ms (0.4%)

bsearch36.0ms (0.7%)

regimes24.0ms (0.5%)

bsearch65.0ms (1.3%)

regimes48.0ms (0.9%)

bsearch62.0ms (1.2%)

regimes14.0ms (0.3%)

bsearch55.0ms (1.1%)

regimes8.0ms (0.2%)

bsearch19.0ms (0.4%)

regimes4.0ms (0.1%)

simplify28.0ms (0.5%)

soundness166.0ms (3.3%)

end251.0ms (4.9%)

Profiling