Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	37.5%	0%	4
68.7%	18.7%	12.5%	5
71.8%	9.4%	18.8%	6
73.4%	4.7%	21.9%	7
74.2%	2.3%	23.5%	8
74.6%	1.2%	24.3%	9
75%	0.6%	24.5%	10
75.1%	0.3%	24.6%	11
75.1%	0.1%	24.7%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (42.9%)

Results

1.1s	2860×	body	1024	valid
533.0ms	3723×	body	256	valid
395.0ms	1400×	body	512	valid
171.0ms	273×	body	2048	valid
1.0ms	8×	body	256	invalid

preprocess56.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)
▶	40.1b	(/.f64 (-.f64 (exp.f64 x) 1) x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(-.f64 (exp.f64 x) 1)
	0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	4.0b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series8.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) 1) x)
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) 1) x)
1.0ms	x	@	0	(-.f64 (exp.f64 x) 1)
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) 1) x)
0.0ms	x	@	inf	(-.f64 (exp.f64 x) 1)

rewrite98.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
661×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
647×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	129	9
2	1756	9

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-/l*_binary64`
605×	`times-frac_binary64`
393×	`unswap-sqr_binary64`
362×	`associate-*l/_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	875
1	382	753
2	1529	606

Stop Event

1×	node limit

Counts

72 → 100

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 x 1/2 1) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 (fma.f64 x 1/2 1) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 1/6 x) x 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 3) 1/24 1)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (-.f64 (exp.f64 x) -1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 -1 x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (expm1.f64 x) x)
	0.0b	(expm1.f64 x)
✓	0.0b	(expm1.f64 x)
✓	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (expm1.f64 x) x)
1.0ms	x	@	-inf	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	0	(/.f64 (expm1.f64 x) x)
0.0ms	x	@	0	(expm1.f64 x)
0.0ms	x	@	inf	(expm1.f64 x)

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
424×	`*-un-lft-identity_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
1	83	9
2	1104	9

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

665×	`unswap-sqr_binary64`
649×	`times-frac_binary64`
596×	`associate-/l*_binary64`
404×	`fma-def_binary64`
246×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	465
1	320	457
2	1417	454

Stop Event

1×	node limit

Counts

73 → 78

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))
(*.f64 (expm1.f64 x) (pow.f64 x -1))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 (fma.f64 1/2 x 1) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (pow.f64 x -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)

eval49.0ms (0.9%)

Compiler: Compiled 1795 to 876 computations (51.2% saved)

prune24.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	173	5	178
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	174	6	180

Error

Counts

180 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.4b	(+.f64 (*.f64 1/2 x) 1)
▶	19.6b	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	21.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
▶	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))
✓	0.0b	(/.f64 (expm1.f64 x) x)
	21.0b	1

Compiler

Compiled 41 to 32 computations (22% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))
	0.0b	(expm1.f64 x)
	0.0b	(expm1.f64 x)
✓	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series17.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (expm1.f64 x) (/.f64 1 x))
0.0ms	x	@	inf	(*.f64 (expm1.f64 x) (/.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (expm1.f64 x) (/.f64 1 x))

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
486×	`add-log-exp_binary64`
486×	`log1p-expm1-u_binary64`
486×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	119	6
2	1401	6

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (expm1.f64 x) (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
458×	`associate-/l/_binary64`
335×	`log-prod_binary64`
303×	`associate-/r/_binary64`
242×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	219
1	164	217
2	534	217
3	3067	211

Stop Event

1×	node limit

Counts

34 → 35

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/6 (pow.f64 x 2))
	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
✓	0.2b	(*.f64 1/6 (pow.f64 x 2))

Compiler

Compiled 35 to 28 computations (20% saved)

series3.0ms (0.1%)

Counts

2 → 10

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 2))
1.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 2))

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`fma-def_binary64`
463×	`log-prod_binary64`
354×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	243	19
2	2989	19

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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(2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (*.f64 1/6 (*.f64 x x)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (fma.f64 x 1/2 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (+.f64 1 (*.f64 x 1/2)))))))

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-neg_binary64`
695×	`fma-def_binary64`
478×	`distribute-rgt-in_binary64`
456×	`distribute-lft-in_binary64`
304×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	2159
1	684	2092
2	1764	1848
3	7320	1835

Stop Event

1×	node limit

Counts

125 → 175

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 0 (.f64 1/6 (.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(-.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 1/6 (.f64 x x))))
(pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 (pow.f64 x 6) 1/216) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/6 (.f64 x x)))) 2)) (cbrt.f64 (log.f64 (.f64 1/6 (.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/6 (.f64 x x))))) (sqrt.f64 (log.f64 (.f64 1/6 (.f64 x x)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/216))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(expm1.f64 (.f64 (log1p.f64 (.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/6 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/6 (.f64 x x))) 3) 1/3))
(fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 1/6 (.f64 x x)))) -1)
(fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (.f64 x x) 1)))) (/.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))))
(.f64 1 (fma.f64 x 1/2 (fma.f64 1/6 (.f64 x x) 1)))
(.f64 (fma.f64 x 1/2 (fma.f64 1/6 (.f64 x x) 1)) 1)
(.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))
(.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (.f64 x x) 1))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (*.f64 x x) 1/4))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (/.f64 1 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (*.f64 x x) 1)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (.f64 x x) 1))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/2 (.f64 x (fma.f64 1/6 (*.f64 x x) 1))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (.f64 x x) 1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2))) (neg.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 3) 1) (+.f64 (pow.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 2) (-.f64 1 (.f64 (fma.f64 x 1/2 (.f64 1/6 (*.f64 x x))) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 2) 1) (-.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 1))
(pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x 1/2 (neg.f64 (fma.f64 1/6 (.f64 x x) 1))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))))) (sqrt.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))
(log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/6 (.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (*.f64 x x)))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 1) 1))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (.f64 x 1/6) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (.f64 x x) 1/6 (+.f64 1 (.f64 x 1/2)))
(fma.f64 (.f64 1/6 (.f64 x x)) 1 (+.f64 1 (*.f64 x 1/2)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 x 1/2) 1 (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 1 (.f64 1/6 (.f64 x x)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 1 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 1 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2))
(fma.f64 1 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 1)
(fma.f64 (fma.f64 1/6 (.f64 x x) 1) 1 (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (.f64 x x)) 1/6) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))
(fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 1/6 (.f64 x x)))) (*.f64 x 1/2))
(fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (.f64 x x) -1)) (.f64 x 1/2))
(fma.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) (sqrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 1)
(fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (.f64 1/6 x) x (+.f64 1 (.f64 x 1/2)))
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (+.f64 1 (.f64 x 1/2)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 1/6 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
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(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (cbrt.f64 x)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))) (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (*.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (*.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (.f64 x 1/2)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (*.f64 1/2 x))
(fma.f64 1/2 x (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6)))))
(fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 1/6 (.f64 x x)))) (*.f64 x 1/2))
(fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 -1/6 (.f64 x x)))) (*.f64 1/2 x))
(fma.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/36 1) (.f64 (.f64 x x) -1/6))) (*.f64 1/2 x))
(fma.f64 1/2 x (/.f64 (fma.f64 (pow.f64 x 6) 1/216 1) (fma.f64 (*.f64 x x) -1/6 (fma.f64 (pow.f64 x 4) 1/36 1))))
(fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (.f64 x x) -1)) (.f64 x 1/2))
(fma.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (/.f64 1 (fma.f64 1/6 (.f64 x x) -1)) (.f64 1/2 x))
(fma.f64 1/2 x (/.f64 (fma.f64 (pow.f64 x 4) 1/36 -1) (fma.f64 x (*.f64 x 1/6) -1)))
(fma.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x))) 1 1)
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 1)
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) (sqrt.f64 (fma.f64 x 1/2 (.f64 1/6 (.f64 x x)))) 1)
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (cbrt.f64 x)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))) (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (.f64 1/6 x) x (+.f64 1 (.f64 x 1/2)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 1/6 (cbrt.f64 (*.f64 x x))) (fma.f64 1/2 x 1))
(fma.f64 x (.f64 (cbrt.f64 x) (.f64 1/6 (cbrt.f64 (*.f64 x x)))) (fma.f64 1/2 x 1))

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.5b	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
	0.0b	(/.f64 (expm1.f64 x) x)
	0.0b	(+.f64 1 (/.f64 (expm1.f64 x) x))
	0.0b	(expm1.f64 x)
	0.0b	(expm1.f64 x)
✓	0.0b	(+.f64 1 (/.f64 (expm1.f64 x) x))
	0.0b	(/.f64 (expm1.f64 x) x)
✓	2.5b	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms	x	@	0	(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	inf	(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`pow1_binary64`
779×	`add-log-exp_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	159	15
2	2334	15

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 x) (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)))))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-neg_binary64`
503×	`unswap-sqr_binary64`
294×	`div-sub_binary64`
279×	`distribute-rgt-neg-in_binary64`
151×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	232	1674
1	556	1473
2	2466	1473

Stop Event

1×	node limit

Counts

121 → 130

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 2) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 2)))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (-.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (-.f64 1 (/.f64 (expm1.f64 x) x)))) (-.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))

localize7.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

eval162.0ms (3.1%)

Compiler: Compiled 6606 to 4076 computations (38.3% saved)

prune75.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	441	8	449
Fresh	1	0	1
Picked	0	1	1
Done	2	2	4
Total	444	11	455

Error

Counts

455 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
▶	61.6b	(.f64 x (.f64 x 1/6))
✓	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))
	21.0b	1
	21.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
	21.4b	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
▶	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	21.4b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
▶	21.1b	(*.f64 x (/.f64 1 x))
▶	61.7b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))

Compiler

Compiled 138 to 107 computations (22.5% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (expm1.f64 x))
	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
	0.0b	(expm1.f64 x)
	0.0b	(expm1.f64 x)
✓	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	0.0b	(/.f64 x (expm1.f64 x))

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	0	(/.f64 x (expm1.f64 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 x (expm1.f64 x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 x (expm1.f64 x)))

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
562×	`add-log-exp_binary64`
562×	`log1p-expm1-u_binary64`
562×	`expm1-log1p-u_binary64`
548×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	124	12
2	1584	12

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 x (expm1.f64 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))))

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg_binary64`
448×	`unswap-sqr_binary64`
371×	`fma-def_binary64`
355×	`associate-/r*_binary64`
343×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	180	592
1	441	586
2	1540	586
3	7401	586

Stop Event

1×	node limit

Counts

90 → 92

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(*.f64 1 (/.f64 x (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) 1) (expm1.f64 x))
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (.f64 1/12 (.f64 x x)))
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 x 1) (.f64 1/12 (.f64 x x))))
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/12 (*.f64 x x) 1)))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(/.f64 x (expm1.f64 x))
(*.f64 x (/.f64 1 (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(*.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (/.f64 x (expm1.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(/.f64 x (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(/.f64 x (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(/.f64 x (expm1.f64 x))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(/.f64 x (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(/.f64 x (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (/.f64 1 x) 1) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (/.f64 1 x))
✓	0.2b	(*.f64 x (/.f64 1 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

328×	`pow1_binary64`
318×	`add-sqr-sqrt_binary64`
310×	`*-un-lft-identity_binary64`
304×	`add-log-exp_binary64`
304×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	103	1
2	915	1
0	5	1

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	4	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x 1/6)
	0.2b	(.f64 x (.f64 x 1/6))
✓	0.2b	(.f64 x (.f64 x 1/6))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series41.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(*.f64 x 1/6)
1.0ms	x	@	0	(*.f64 x 1/6)
1.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	0	(.f64 x (.f64 x 1/6))
0.0ms	x	@	inf	(.f64 x (.f64 x 1/6))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
415×	`add-log-exp_binary64`
415×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1141	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))))

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

659×	`distribute-rgt-in_binary64`
629×	`distribute-lft-in_binary64`
502×	`fma-def_binary64`
424×	`log-prod_binary64`
401×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	253
1	138	253
2	564	253
3	2317	253

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x 1/6)
	0.1b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
✓	0.1b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
	0.3b	(*.f64 x 1/6)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 x 1/6) 1/2))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
755×	`add-log-exp_binary64`
755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
742×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	159	8
2	2042	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x 1/6) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 1/216 (pow.f64 x 3))) x) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) -1/4) x) (fma.f64 x 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (*.f64 1/216 (pow.f64 x 3)))) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 1/36 (*.f64 x x)) -1/4)) (fma.f64 x 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/6) x (*.f64 x 1/2))))))

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-*l/_binary64`
360×	`fma-def_binary64`
341×	`times-frac_binary64`
341×	`fma-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	372
1	259	354
2	1046	343
3	4504	343

Stop Event

1×	node limit

Counts

36 → 38

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))
(+.f64 (.f64 (.f64 x (.f64 x 1/6)) 1) (.f64 (*.f64 x 1/2) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x (.f64 x 1/6)) (.f64 x (.f64 x 1/6))) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/6)) (.f64 x (.f64 x 1/6))) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2)))
(/.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 x 3))) x) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))
(/.f64 (.f64 (+.f64 (.f64 1/36 (*.f64 x x)) -1/4) x) (fma.f64 x 1/6 -1/2))
(/.f64 (.f64 x (+.f64 1/8 (.f64 1/216 (pow.f64 x 3)))) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))
(/.f64 (.f64 x (+.f64 (.f64 1/36 (*.f64 x x)) -1/4)) (fma.f64 x 1/6 -1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 (.f64 x (.f64 x 1/6)) 1) (.f64 (*.f64 x 1/2) 1))
(*.f64 x (fma.f64 x 1/6 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)
(*.f64 x (fma.f64 x 1/6 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x (.f64 x 1/6)) (.f64 x (.f64 x 1/6))) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (.f64 x (.f64 x 1/6)) (.f64 x (.f64 x 1/6)) (.f64 (.f64 1/2 x) (-.f64 (.f64 1/2 x) (.f64 x (.f64 x 1/6))))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 1/216 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 (pow.f64 x 3) 1/36) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 1/216 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 x 1/4) (.f64 (.f64 1/6 (pow.f64 x 3)) (fma.f64 x 1/6 -1/2))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/6)) (.f64 x (.f64 x 1/6))) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/6 1/2))
(/.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 x 3))) x) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))
(/.f64 x (/.f64 (fma.f64 1/36 (.f64 x x) (-.f64 1/4 (.f64 x 1/12))) (+.f64 1/8 (*.f64 1/216 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (fma.f64 1/36 (.f64 x x) 1/4) (*.f64 x -1/12))) x)
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (/.f64 (fma.f64 x (*.f64 x 1/36) 1/4) x) -1/12))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (/.f64 (fma.f64 1/36 (*.f64 x x) 1/4) x) -1/12))
(/.f64 (.f64 (+.f64 (.f64 1/36 (*.f64 x x)) -1/4) x) (fma.f64 x 1/6 -1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(/.f64 (.f64 x (+.f64 1/8 (.f64 1/216 (pow.f64 x 3)))) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 1/4 (*.f64 x 1/12))))
(/.f64 x (/.f64 (fma.f64 1/36 (.f64 x x) (-.f64 1/4 (.f64 x 1/12))) (+.f64 1/8 (*.f64 1/216 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (fma.f64 1/36 (.f64 x x) 1/4) (*.f64 x -1/12))) x)
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (/.f64 (fma.f64 x (*.f64 x 1/36) 1/4) x) -1/12))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) 1/8) (+.f64 (/.f64 (fma.f64 1/36 (*.f64 x x) 1/4) x) -1/12))
(/.f64 (.f64 x (+.f64 (.f64 1/36 (*.f64 x x)) -1/4)) (fma.f64 x 1/6 -1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(*.f64 x (fma.f64 x 1/6 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(*.f64 x (fma.f64 x 1/6 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))
(*.f64 x (fma.f64 x 1/6 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(*.f64 x (fma.f64 x 1/6 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(*.f64 x (fma.f64 x 1/6 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x 1/6 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(*.f64 x (fma.f64 x 1/6 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(*.f64 x (fma.f64 x 1/6 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/6 1/2))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	0.0b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
793×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	180	5
2	2220	5

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 1 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)))))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

548×	`fma-neg_binary64`
541×	`associate-/l*_binary64`
334×	`associate-l_binary64`
322×	`div-sub_binary64`
308×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	430
1	234	415
2	659	413
3	4065	403

Stop Event

1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

eval150.0ms (2.9%)

Compiler: Compiled 2761 to 1820 computations (34.1% saved)

prune76.0ms (1.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	248	4	252
Fresh	2	1	3
Picked	1	0	1
Done	0	7	7
Total	251	12	263

Error

Counts

263 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
▶	61.9b	(*.f64 1/2 x)
✓	61.6b	(.f64 x (.f64 x 1/6))
▶	61.7b	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
✓	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))
✓	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
	21.0b	1
▶	21.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	17.8b	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	21.1b	(*.f64 x (/.f64 1 x))
✓	61.7b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))

Compiler

Compiled 83 to 62 computations (25.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	0.0b	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
640×	`add-log-exp_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	151	8
2	1827	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1)) (fma.f64 -1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))))))

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

436×	`fma-neg_binary64`
353×	`associate-/l/_binary64`
323×	`associate-l_binary64`
289×	`associate-r_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	528
1	265	447
2	804	391
3	3918	391

Stop Event

1×	node limit

Counts

34 → 57

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/8 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 -1/2 x) 2) (-.f64 1 (.f64 -1/2 x))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 x) 2) -1)) (fma.f64 -1/2 x -1))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/4 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (.f64 1/4 (.f64 x x)))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1)))
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/4)) -1/2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 4 x) x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (-.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 4 x) x))) (/.f64 -16 (pow.f64 x 4)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 4 x) x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (-.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 4 x) x))) (/.f64 -16 (pow.f64 x 4)))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 1)))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(.f64 (/.f64 1 (+.f64 1 (.f64 -1/8 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 -1/2 x) 2) (-.f64 1 (.f64 -1/2 x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1)) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1)) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 x) 2) -1)) (fma.f64 -1/2 x -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 x x))
	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.2b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 46 to 29 computations (37% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	0	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))

rewrite106.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`fma-def_binary64`
472×	`log-prod_binary64`
344×	`fma-neg_binary64`
323×	`pow-prod-down_binary64`
275×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	271	19
2	3347	18

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 1/6 (*.f64 x x)))) (/.f64 (*.f64 1/36 (pow.f64 x 4)) (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 1/6 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/216 (pow.f64 x 6)) (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (neg.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/216 (pow.f64 x 6))) (neg.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4)))) (neg.f64 (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/216 (pow.f64 x 6)) 1) (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) 1) (neg.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) 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x) x)) (pow.f64 (cbrt.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) 1) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) 0)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))) (/.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/6 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (+.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) 1) x (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (*.f64 x x) 1))))))

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

546×	`distribute-rgt-in_binary64`
516×	`distribute-lft-in_binary64`
425×	`fma-neg_binary64`
352×	`cancel-sign-sub-inv_binary64`
301×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	2312
1	806	2125
2	2764	2073

Stop Event

1×	node limit

Counts

168 → 182

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 0 (.f64 1/6 (.f64 x x)))
(+.f64 (.f64 1/6 (.f64 x x)) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(-.f64 (.f64 1/6 (.f64 x x)) 0)
(-.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)
(-.f64 (/.f64 0 (neg.f64 (.f64 1/6 (.f64 x x)))) (/.f64 (.f64 1/36 (pow.f64 x 4)) (neg.f64 (.f64 1/6 (*.f64 x x)))))
(/.f64 1 (pow.f64 (.f64 1/6 (.f64 x x)) -1))
(/.f64 1 (/.f64 (neg.f64 (.f64 1/6 (.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))))
(/.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 1/6 (*.f64 x x)))
(/.f64 (.f64 1/216 (pow.f64 x 6)) (.f64 1/36 (pow.f64 x 4)))
(/.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (neg.f64 (.f64 1/6 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 1/216 (pow.f64 x 6))) (neg.f64 (.f64 1/36 (pow.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4)))) (neg.f64 (neg.f64 (.f64 1/6 (*.f64 x x)))))
(/.f64 (.f64 (.f64 1/216 (pow.f64 x 6)) 1) (*.f64 1/36 (pow.f64 x 4)))
(/.f64 (.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) 1) (neg.f64 (.f64 1/6 (.f64 x x))))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 1/216 (pow.f64 x 6)) 1/3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) -1) -1)
(pow.f64 (/.f64 (neg.f64 (.f64 1/6 (.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))) -1)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(expm1.f64 (.f64 (log1p.f64 (.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/216 (pow.f64 x 6))) 1/3))
(fma.f64 1/6 (*.f64 x x) 0)
(fma.f64 x (*.f64 1/6 x) 0)
(fma.f64 (*.f64 x x) 1/6 0)
(fma.f64 (.f64 1/6 (.f64 x x)) 1 0)
(fma.f64 1 (.f64 1/6 (.f64 x x)) 0)
(fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) -1)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (*.f64 x x))) 0)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1) 0)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) 0)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) -1)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) 0)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (*.f64 x (sqrt.f64 1/6)) 1) 0)
(fma.f64 (.f64 1/216 (pow.f64 x 6)) (/.f64 1 (.f64 1/36 (pow.f64 x 4))) 0)
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 1/6 (.f64 x x)))) -1)
(fma.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (.f64 1/6 (*.f64 x x)))) 0)
(fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) -1)
(fma.f64 (*.f64 1/6 x) x 0)
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (.f64 (.f64 1/6 x) 1) x 0)
(fma.f64 (.f64 (.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(fma.f64 (.f64 (.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1))) (/.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))
(.f64 1 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1))
(.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1) 1)
(.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1)) (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (*.f64 x x) 1/4))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (/.f64 1 (-.f64 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (fma.f64 1/6 (*.f64 x x) 1))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 3) 1) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 2) (-.f64 1 (.f64 (.f64 x (+.f64 1/2 (*.f64 1/6 x))) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 2) 1) (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) -1))
(pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 1)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/6 (.f64 x x) 1) (-.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))
(log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/6 (.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(exp.f64 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (+.f64 1/2 (*.f64 1/6 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))))) 3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))))) 2))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (.f64 1/6 x) (+.f64 1 (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 (.f64 x x) 1/6 (+.f64 1 (.f64 x 1/2)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 x 1/2) 1 (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (.f64 1/6 (.f64 x x)) 1 (+.f64 1 (*.f64 x 1/2)))
(fma.f64 1 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 1 (.f64 1/6 (.f64 x x)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 1 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2))
(fma.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 1)
(fma.f64 (fma.f64 1/6 (.f64 x x) 1) 1 (.f64 x 1/2))
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (.f64 1/216 (pow.f64 x 6)) (/.f64 1 (.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 1/6 (.f64 x x)))) (*.f64 x 1/2))
(fma.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (.f64 1/6 (.f64 x x)))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (.f64 x x) -1)) (.f64 x 1/2))
(fma.f64 (.f64 1/6 x) x (+.f64 1 (.f64 x 1/2)))
(fma.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 1)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 1)
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 1/6 x) 1) x (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 (.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 0 (.f64 1/6 (.f64 x x)))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (.f64 x x)) 0)
(.f64 1/6 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))
(.f64 1/6 (.f64 x x))
(-.f64 (.f64 1/6 (.f64 x x)) 0)
(.f64 1/6 (.f64 x x))
(-.f64 (fma.f64 1/6 (*.f64 x x) 1) 1)
(.f64 1/6 (.f64 x x))
(-.f64 (/.f64 0 (neg.f64 (.f64 1/6 (.f64 x x)))) (/.f64 (.f64 1/36 (pow.f64 x 4)) (neg.f64 (.f64 1/6 (*.f64 x x)))))
(.f64 1/6 (.f64 x x))
(/.f64 1 (pow.f64 (.f64 1/6 (.f64 x x)) -1))
(.f64 1/6 (.f64 x x))
(/.f64 1 (/.f64 (neg.f64 (.f64 1/6 (.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))))
(.f64 1/6 (.f64 x x))
(/.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 1/6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(/.f64 (.f64 1/216 (pow.f64 x 6)) (.f64 1/36 (pow.f64 x 4)))
(*.f64 1/6 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (neg.f64 (.f64 1/6 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 (neg.f64 (.f64 1/216 (pow.f64 x 6))) (neg.f64 (.f64 1/36 (pow.f64 x 4))))
(*.f64 1/6 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4)))) (neg.f64 (neg.f64 (.f64 1/6 (*.f64 x x)))))
(.f64 1/6 (.f64 x x))
(/.f64 (.f64 (.f64 1/216 (pow.f64 x 6)) 1) (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/6 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) 1) (neg.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 1/216 (pow.f64 x 6)) 1/3)
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) -1) -1)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 (neg.f64 (.f64 1/6 (.f64 x x))) (neg.f64 (*.f64 1/36 (pow.f64 x 4)))) -1)
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(expm1.f64 (.f64 (log1p.f64 (.f64 1/6 (*.f64 x x))) 1))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x)))) 3))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 1/6))) 2))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/216 (pow.f64 x 6))) 1/3))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(fma.f64 1/6 (*.f64 x x) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 x (*.f64 1/6 x) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (*.f64 x x) 1/6 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 1/6 (.f64 x x)) 1 0)
(.f64 1/6 (.f64 x x))
(fma.f64 1 (.f64 1/6 (.f64 x x)) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)
(.f64 1/6 (.f64 x x))
(fma.f64 (fma.f64 1/6 (*.f64 x x) 1) 1 -1)
(.f64 1/6 (.f64 x x))
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) -1)
(.f64 1/6 (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) -1)
(.f64 1/6 (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (*.f64 x x))) 0)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1) 0)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 0)
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) -1)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (*.f64 x (sqrt.f64 1/6)) 1) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 1/216 (pow.f64 x 6)) (/.f64 1 (.f64 1/36 (pow.f64 x 4))) 0)
(*.f64 1/6 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 1/6 (.f64 x x)))) -1)
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (+.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 -1/6 (.f64 x x)))) -1)
(+.f64 -1 (/.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (+.f64 (.f64 (.f64 x x) -1/6) (fma.f64 1/36 (pow.f64 x 4) 1))))
(fma.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (.f64 1/6 (*.f64 x x)))) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 x x) -1)) -1)
(+.f64 -1 (/.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (fma.f64 1/6 (*.f64 x x) -1)))
(fma.f64 (*.f64 1/6 x) x 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 (.f64 1/6 x) 1) x 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 (.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(.f64 1/6 (.f64 x x))
(fma.f64 (.f64 (.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) 0)
(.f64 1/6 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1))) 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (.f64 x x) 1))) (/.f64 (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (-.f64 (.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) 1)))
(/.f64 (fma.f64 x (.f64 x -1/4) (pow.f64 (fma.f64 1/6 (.f64 x x) 1) 2)) (fma.f64 x -1/2 (fma.f64 1/6 (*.f64 x x) 1)))
(.f64 1 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1) 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)) 2))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 (.f64 1/6 x)) 1)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
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(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 1 (.f64 1/6 (.f64 x x)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 1 (fma.f64 1/6 (.f64 x x) 1) (.f64 x 1/2))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (fma.f64 1/6 (.f64 x x) 1) 1 (.f64 x 1/2))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 x x) 1)) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (.f64 x (sqrt.f64 1/6))) (*.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 (.f64 x (sqrt.f64 1/6)) 1) (+.f64 1 (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 1/216 (pow.f64 x 6)) (/.f64 1 (.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 (*.f64 1/216 (pow.f64 x 6)) (/.f64 36 (pow.f64 x 4)) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 6) (pow.f64 x 4))) (fma.f64 x 1/2 1))
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 1/6 (.f64 x x)))) (*.f64 x 1/2))
(fma.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (/.f64 1 (+.f64 (fma.f64 1/36 (pow.f64 x 4) 1) (.f64 -1/6 (.f64 x x)))) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (/.f64 (fma.f64 1/216 (pow.f64 x 6) 1) (+.f64 (.f64 (*.f64 x x) -1/6) (fma.f64 1/36 (pow.f64 x 4) 1))))
(fma.f64 (neg.f64 (.f64 1/36 (pow.f64 x 4))) (/.f64 1 (neg.f64 (.f64 1/6 (.f64 x x)))) (+.f64 1 (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 1/6 (.f64 x x) -1)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (/.f64 (fma.f64 1/36 (pow.f64 x 4) -1) (fma.f64 1/6 (.f64 x x) -1)))
(fma.f64 (.f64 1/6 x) x (+.f64 1 (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x))) 1 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 1/6 x)))) 1)
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 (.f64 1/6 x) 1) x (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 (.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 (.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (.f64 x x) 1))
(fma.f64 x (+.f64 1/2 (*.f64 1/6 x)) 1)
(fma.f64 x (fma.f64 1/6 x 1/2) 1)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x 1/6)
	0.2b	(.f64 x (.f64 x 1/6))
	0.0b	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
✓	0.0b	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
	0.2b	(.f64 x (.f64 x 1/6))
	0.3b	(*.f64 x 1/6)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series40.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
0.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
0.0ms	x	@	-inf	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	8
2	2296	8

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 x (-.f64 (*.f64 x 1/6) 1/2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 (*.f64 x 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x x) 1/4)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/6 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) (*.f64 (pow.f64 x 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x 1/6) 1/2)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x x) (*.f64 1/6 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x x) 1/4)) (*.f64 x (-.f64 (*.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 2) (*.f64 (*.f64 x x) 1/4))) (neg.f64 (*.f64 x (-.f64 (*.f64 x 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x (*.f64 x 1/6)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/6) x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/6)))))))

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-neg_binary64`
592×	`times-frac_binary64`
473×	`div-sub_binary64`
288×	`fma-def_binary64`
285×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	882
1	313	689
2	1083	656
3	5623	644

Stop Event

1×	node limit

Counts

54 → 55

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 x (-.f64 (.f64 x 1/6) 1/2))) (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 (.f64 x 1/6) 1/2))))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (.f64 x (fma.f64 x 1/6 1/2)) 1)
(.f64 1 (.f64 x (fma.f64 x 1/6 1/2)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 1/6 1/2)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 1/6 1/2)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (.f64 x (-.f64 (*.f64 x 1/6) 1/2))))
(*.f64 (fma.f64 x 1/6 1/2) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 1/6) 1/2)) (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) (.f64 1/6 (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (.f64 x (-.f64 (.f64 x 1/6) 1/2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4))) (neg.f64 (.f64 x (-.f64 (.f64 x 1/6) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x (.f64 x 1/6)) 2)) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6))))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x 1/6)))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(fma.f64 1 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))
(fma.f64 (.f64 x x) 1/6 (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 2) (cbrt.f64 (.f64 x (.f64 x 1/6))) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/6)))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/6)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2))) 1)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 x (-.f64 (.f64 x 1/6) 1/2))) (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 (.f64 x 1/6) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(.f64 (.f64 x (fma.f64 x 1/6 1/2)) 1)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 1 (.f64 x (fma.f64 x 1/6 1/2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 1/6 1/2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 1/6 1/2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 (.f64 -1/6 x)))) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x x) (+.f64 (.f64 x -1/12) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) (fma.f64 x 1/12 -1/4))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (.f64 x (-.f64 (*.f64 x 1/6) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(*.f64 (fma.f64 x 1/6 1/2) x)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 (.f64 -1/6 x)))) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x x) (+.f64 (.f64 x -1/12) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) (fma.f64 x 1/12 -1/4))))
(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 1/6) 1/2)) (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 (.f64 -1/6 x)))) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x x) (+.f64 (.f64 x -1/12) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) (fma.f64 x 1/12 -1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) (.f64 1/6 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 (.f64 -1/6 x)))) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x x) (+.f64 (.f64 x -1/12) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) (fma.f64 x 1/12 -1/4))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (.f64 x (-.f64 (.f64 x 1/6) 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/216) (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/6)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 1/2 x) (.f64 x (-.f64 1/2 (.f64 x 1/6))))) (fma.f64 (pow.f64 (.f64 x x) 3) 1/216 (.f64 (pow.f64 x 3) 1/8))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 (.f64 -1/6 x)))) (*.f64 (pow.f64 x 4) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 4) 1/36 (.f64 (.f64 x x) (+.f64 (.f64 x -1/12) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/216 (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) (fma.f64 x 1/12 -1/4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4))) (neg.f64 (.f64 x (-.f64 (.f64 x 1/6) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x (.f64 x 1/6)) 2)) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/6))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 2) (.f64 (.f64 x x) 1/4)) (*.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/36) (.f64 (.f64 x x) -1/4)) (.f64 x (fma.f64 x 1/6 -1/2)))
(/.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) x)) (.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) x) (*.f64 x -1/4)) (fma.f64 x 1/6 -1/2))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 x (.f64 x 1/6) (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x 1/6)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (.f64 x 1/6) x (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 1 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/6)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (.f64 x x) 1/6 (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 2) (cbrt.f64 (.f64 x (.f64 x 1/6))) (*.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/6)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) (*.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/6)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/6)))
(*.f64 x (fma.f64 x 1/6 1/2))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval164.0ms (3.1%)

Compiler: Compiled 5038 to 3712 computations (26.3% saved)

prune63.0ms (1.2%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	315	4	319
Fresh	1	0	1
Picked	0	1	1
Done	1	9	10
Total	317	14	331

Error

Counts

331 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
✓	61.9b	(*.f64 1/2 x)
✓	61.6b	(.f64 x (.f64 x 1/6))
✓	61.7b	(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
✓	0.1b	(*.f64 (expm1.f64 x) (/.f64 1 x))
	58.8b	(/.f64 -2 x)
✓	61.7b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
✓	0.0b	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	21.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	17.8b	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
	59.8b	(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
	21.0b	1
	21.6b	(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/4)) -1/2)))

Compiler

Compiled 105 to 79 computations (24.8% saved)

regimes69.0ms (1.3%)

Counts

23 → 1

Calls

Call 1

Inputs
1
1
1
1
(/.f64 -2 x)
(*.f64 1/2 x)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 x))
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/4)) -1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

3 calls:

52.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 157 to 111 computations (29.3% saved)

regimes15.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
1
1
1
1
(/.f64 -2 x)
(*.f64 1/2 x)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 x))
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(.f64 x (+.f64 (.f64 x 1/6) 1/2))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (.f64 x (.f64 x 1/6)) (*.f64 x 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) 1)
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/4)) -1/2)))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
17.8b	1	`x`

Compiler

Compiled 102 to 76 computations (25.5% saved)

regimes16.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
17.7b	2	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-4483528.255268713	-0.05555939465432473

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 119 to 98 computations (17.6% saved)

regimes15.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
1
1
1
1
(/.f64 -2 x)
(*.f64 1/2 x)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 x))

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
18.2b	2	`x`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-4483528.255268713	-0.05555939465432473

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 83 to 71 computations (14.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
1
1
1
1

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
21.0b	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	26	45

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Stop Event

1×

saturated

Compiler

Compiled 12 to 8 computations (33.3% saved)

end34.0ms (0.6%)

Compiler: Compiled 33 to 25 computations (24.2% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Details

analyze4.0ms (0.1%)

sample2.2s (42.9%)

preprocess56.0ms (1.1%)

simplify26.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series8.0ms (0.2%)

rewrite98.0ms (1.9%)

simplify65.0ms (1.2%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite62.0ms (1.2%)

simplify54.0ms (1%)

eval49.0ms (0.9%)

prune24.0ms (0.4%)

localize7.0ms (0.1%)

series17.0ms (0.3%)

rewrite49.0ms (0.9%)

simplify60.0ms (1.1%)

localize18.0ms (0.3%)

series3.0ms (0.1%)

rewrite69.0ms (1.3%)

simplify92.0ms (1.7%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (1.2%)

simplify63.0ms (1.2%)

localize7.0ms (0.1%)

eval162.0ms (3.1%)

prune75.0ms (1.4%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite71.0ms (1.4%)

simplify83.0ms (1.6%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (1.1%)

simplify7.0ms (0.1%)

localize5.0ms (0.1%)

series41.0ms (0.8%)

rewrite45.0ms (0.9%)

simplify53.0ms (1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite50.0ms (1%)

simplify49.0ms (0.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (1.2%)

simplify51.0ms (1%)

eval150.0ms (2.9%)

prune76.0ms (1.4%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite49.0ms (0.9%)

simplify79.0ms (1.5%)

localize16.0ms (0.3%)

series2.0ms (0%)

rewrite106.0ms (2%)

simplify79.0ms (1.5%)

localize10.0ms (0.2%)

series40.0ms (0.8%)

rewrite59.0ms (1.1%)

simplify59.0ms (1.1%)

localize3.0ms (0.1%)

eval164.0ms (3.1%)

prune63.0ms (1.2%)

regimes69.0ms (1.3%)

regimes15.0ms (0.3%)

regimes16.0ms (0.3%)

bsearch17.0ms (0.3%)

regimes15.0ms (0.3%)

bsearch17.0ms (0.3%)

regimes5.0ms (0.1%)

simplify4.0ms (0.1%)

soundness62.0ms (1.2%)

end34.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6