Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.0s (44.5%)

Results

1.9s	4066×	body	1024	valid
527.0ms	2043×	body	512	valid
250.0ms	412×	body	2048	valid
229.0ms	1735×	body	256	valid
1.0ms	11×	body	256	invalid

preprocess90.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval2.0ms (0%)

Compiler: Compiled 33 to 16 computations (51.5% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

58.6b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.6b	(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.9b	(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
	0.0b	(exp.f64 (neg.f64 x))
✓	0.0b	(exp.f64 (neg.f64 x))
✓	3.9b	(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite122.0ms (1.8%)

Algorithm

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

Rules

277×	`pow1_binary64`
269×	`add-sqr-sqrt_binary64`
263×	`*-un-lft-identity_binary64`
256×	`add-log-exp_binary64`
255×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	127	15
2	2116	15
0	6	10
1	127	10
2	2116	10
0	6	10
0	4	5
1	79	5
2	967	5
0	4	5

Stop Event

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

Counts

2 → 21

Calls

Call 1

Inputs
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 (neg.f64 x))

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

Outputs

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/l*_binary64`
497×	`unswap-sqr_binary64`
441×	`distribute-rgt-in_binary64`
410×	`associate-/r*_binary64`
407×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	358
1	195	346
2	653	340
3	2732	340

Stop Event

1×	node limit

Counts

37 → 54

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/60 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2520 (pow.f64 x 7)) (+.f64 (.f64 -1/60 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(exp.f64 (*.f64 -1 x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1)
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 1 (exp.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) 1)
(log.f64 (exp.f64 (exp.f64 (neg.f64 x))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 x))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -1/60 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/60 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/60 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/60 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (.f64 -1/2520 (pow.f64 x 7)) (+.f64 (.f64 -1/60 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/2520 (pow.f64 x 7) (fma.f64 -1/60 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/2520 (pow.f64 x 7) (fma.f64 -1/60 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 x))))
(fma.f64 -1/2520 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/60 (pow.f64 x 5) (*.f64 -2 x))))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) (fma.f64 (pow.f64 x 3) -1/6 1))
(-.f64 (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x (*.f64 x 1/2) 1)) x)
(fma.f64 (pow.f64 x 3) -1/6 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 (*.f64 -2 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x -3)) (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 x) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(cbrt.f64 (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 1 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(/.f64 1 (exp.f64 x))
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) 1)
(exp.f64 (neg.f64 x))
(log.f64 (exp.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(cbrt.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))

eval70.0ms (1%)

Compiler: Compiled 799 to 455 computations (43.1% saved)

prune51.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Error

Counts

55 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.6b	(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
▶	0.6b	(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
▶	0.9b	(.f64 (.f64 -2 x) -1/2)
▶	59.9b	(*.f64 (-.f64 1 (exp.f64 x)) -1/2)

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.7b	(-.f64 1 (exp.f64 x))
✓	3.7b	(-.f64 1 (exp.f64 x))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series4.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 1 (exp.f64 x))
1.0ms	x	@	-inf	(-.f64 1 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 1 (exp.f64 x))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`pow1_binary64`
476×	`add-sqr-sqrt_binary64`
455×	`add-log-exp_binary64`
455×	`log1p-expm1-u_binary64`
455×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1202	6

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

932×	`times-frac_binary64`
432×	`div-sub_binary64`
417×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
287×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	405
1	222	365
2	676	347
3	3270	316

Stop Event

1×	node limit

Counts

32 → 50

Calls

Call 1

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

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

localize11.0ms (0.2%)

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

localize55.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/3 (pow.f64 x 3))
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
498×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1324	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1136×	`log-prod_binary64`
454×	`exp-sum_binary64`
411×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
324×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	96	110
2	310	77
3	1861	77
4	5973	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))

eval69.0ms (1%)

Compiler: Compiled 809 to 588 computations (27.3% saved)

prune20.0ms (0.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	61	7	68

Error

Counts

68 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.0b	(.f64 (-.f64 (.f64 x (.f64 x (+.f64 (.f64 x -1/6) -1/2))) x) -1/2)
✓	0.6b	(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
▶	52.0b	(.f64 (.f64 x (+.f64 -1 (*.f64 x -1/2))) -1/2)
▶	51.8b	(*.f64 (neg.f64 (expm1.f64 x)) -1/2)
▶	52.0b	(*.f64 (neg.f64 x) -1/2)
✓	58.6b	(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
✓	0.9b	(.f64 (.f64 -2 x) -1/2)

Compiler

Compiled 62 to 49 computations (21% saved)

localize8.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

382×	`expm1-udef_binary64`
382×	`log1p-udef_binary64`
255×	`associate-r_binary64`
252×	`pow1_binary64`
244×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	57	3
2	640	3
3	6985	3

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(expm1.f64 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))))) (#(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 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (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 (exp.f64 x))))))) (#(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 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -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 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) 1) (+.f64 1 (exp.f64 x)))))) (#(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) 2) 1/2)))) (#(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 pow.f64 (E.f64) (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (expm1.f64 x))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))))) (#(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)))))

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

575×	`div-sub_binary64`
326×	`fma-def_binary64`
306×	`unswap-sqr_binary64`
275×	`log-prod_binary64`
234×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	709
1	389	698
2	1082	582
3	4534	554

Stop Event

1×	node limit

Counts

75 → 89

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)))
(-.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 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (pow.f64 (expm1.f64 x) 1/6) (.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(.f64 (pow.f64 (expm1.f64 x) 1/4) (.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (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 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) 1) (+.f64 1 (exp.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(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)))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(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)

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) 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 x (*.f64 x 1/2) (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)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) (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 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(.f64 (pow.f64 (expm1.f64 x) 1/6) (.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 x)
(.f64 (pow.f64 (expm1.f64 x) 1/4) (.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (pow.f64 (expm1.f64 x) 1/6) 3))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)) 2)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (pow.f64 (expm1.f64 x) 1/6) 3))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) -1)))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 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) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 x)))
(expm1.f64 x)
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))
(expm1.f64 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(expm1.f64 x)
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x (+.f64 x x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(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)
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

localize33.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (+.f64 -1 (.f64 x -1/2)))
1.0ms	x	@	-inf	(.f64 x (+.f64 -1 (.f64 x -1/2)))
1.0ms	x	@	0	(.f64 x (+.f64 -1 (.f64 x -1/2)))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
716×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	8
2	1979	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-neg_binary64`
445×	`distribute-rgt-neg-out_binary64`
437×	`div-sub_binary64`
370×	`distribute-lft-neg-out_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	422
1	248	345
2	936	329
3	3874	329

Stop Event

1×	node limit

Counts

36 → 40

Calls

Call 1

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

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

localize39.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 52 to 36 computations (30.8% saved)

series10.0ms (0.2%)

Counts

4 → 48

Calls

12 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))
1.0ms	x	@	inf	(*.f64 x -1/6)
1.0ms	x	@	0	(.f64 x (.f64 x (+.f64 (*.f64 x -1/6) -1/2)))
1.0ms	x	@	0	(*.f64 x -1/6)

rewrite119.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2347	28

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify144.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

718×	`times-frac_binary64`
451×	`fma-neg_binary64`
444×	`associate-/l*_binary64`
384×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	1340
1	546	1246
2	2279	1177

Stop Event

1×	node limit

Counts

136 → 128

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

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

eval220.0ms (3.3%)

Compiler: Compiled 4166 to 2828 computations (32.1% saved)

prune70.0ms (1.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	253	4	257
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	253	11	264

Error

Counts

264 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.2b	(.f64 (.f64 x (*.f64 x -1/2)) -1/2)
▶	52.0b	(.f64 (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (.f64 x x) -1/2)) x) -1/2)
✓	58.6b	(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
▶	52.0b	(.f64 (-.f64 (.f64 x (.f64 -1/6 (.f64 x x))) x) -1/2)
✓	52.0b	(.f64 (-.f64 (.f64 x (.f64 x (+.f64 (.f64 x -1/6) -1/2))) x) -1/2)
✓	0.6b	(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
✓	52.0b	(.f64 (.f64 x (+.f64 -1 (*.f64 x -1/2))) -1/2)
✓	51.8b	(*.f64 (neg.f64 (expm1.f64 x)) -1/2)
✓	52.0b	(*.f64 (neg.f64 x) -1/2)
▶	52.0b	(.f64 (-.f64 (.f64 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)))) x) -1/2)
✓	0.9b	(.f64 (.f64 -2 x) -1/2)

Compiler

Compiled 136 to 99 computations (27.2% saved)

localize180.0ms (2.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (.f64 x -1/6))
	0.0b	(-.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))
	0.0b	(.f64 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))))
	0.0b	(-.f64 (.f64 (.f64 x (.f64 x -1/6)) (.f64 x (.f64 x -1/6))) (.f64 (.f64 x -1/2) (.f64 x -1/2)))
✓	0.1b	(.f64 x (.f64 x -1/6))
✓	0.1b	(.f64 (.f64 x (.f64 x -1/6)) (.f64 x (*.f64 x -1/6)))
	0.3b	(*.f64 x -1/6)
✓	30.2b	(/.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)))

Compiler

Compiled 189 to 128 computations (32.3% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log-prod_binary64`
529×	`fma-neg_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
178×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	303	25
2	4995	25

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs

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

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

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 (*.f64 x -1/6)) (+.f64 (*.f64 x -1/2) (fma.f64 1/2 x (*.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 x (fma.f64 x -1/6 1/2)) (fma.f64 1/2 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (*.f64 (fma.f64 1/2 x (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (+.f64 (fma.f64 1/2 x (*.f64 x -1/2)) (fma.f64 1/2 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (*.f64 x -1/2)) (*.f64 x (fma.f64 x -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/6)) 2) (*.f64 x (fma.f64 x -1/6 1/2))) (neg.f64 (*.f64 (/.f64 x x) (/.f64 (*.f64 1/4 x) (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))))))) (#(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 (*.f64 x -1/6)) (-.f64 (*.f64 x -1/2) (fma.f64 1/2 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/6)) 2) (*.f64 x (fma.f64 x -1/6 1/2))) (*.f64 (/.f64 x x) (/.f64 (*.f64 1/4 x) (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (*.f64 x (*.f64 (*.f64 x -1/6) (*.f64 x -1/2))))) (/.f64 (*.f64 (pow.f64 x 3) -1/8) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (*.f64 x (*.f64 (*.f64 x -1/6) (*.f64 x -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 x (+.f64 (*.f64 x -1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2) (/.f64 1 (*.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 (*.f64 x (fma.f64 x -1/6 1/2)) (*.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (/.f64 1 (*.f64 x (fma.f64 x -1/6 1/2)))))))) (#(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))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2)) (/.f64 1 (*.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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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)) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/6)) 3) 1/3)))) (#(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 fabs.f64 (*.f64 x (*.f64 x -1/6)))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/6))) 1))))))

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

471×	`fma-neg_binary64`
361×	`times-frac_binary64`
358×	`log-prod_binary64`
271×	`fabs-mul_binary64`
269×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	4345
1	1063	3691
2	5025	3366

Stop Event

1×	node limit

Counts

230 → 318

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 x x))
	0.1b	(.f64 x (.f64 -1/6 (*.f64 x x)))
✓	0.1b	(.f64 x (.f64 -1/6 (*.f64 x x)))
✓	0.2b	(.f64 -1/6 (.f64 x x))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
502×	`add-log-exp_binary64`
502×	`log1p-expm1-u_binary64`
502×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	124	14
2	1464	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-l_binary64`
679×	`associate-r_binary64`
479×	`fma-def_binary64`
406×	`associate-+l+_binary64`
380×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	322
1	146	322
2	570	322
3	4188	322

Stop Event

1×	node limit

Counts

46 → 25

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

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

localize61.0ms (0.9%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x -1/6)
	0.1b	(.f64 (.f64 x x) (*.f64 x -1/6))
	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (*.f64 x x) -1/2))
✓	0.1b	(.f64 (.f64 x x) (*.f64 x -1/6))
	0.3b	(*.f64 x -1/6)

Compiler

Compiled 67 to 33 computations (50.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
497×	`fma-def_binary64`
408×	`prod-exp_binary64`
344×	`exp-prod_binary64`
328×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	18
2	2670	18

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (*.f64 x -1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (*.f64 x -1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (*.f64 x -1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -1/6)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -1/6)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (*.f64 x -1/6))) (*.f64 (log.f64 x) 1)))))))

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

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary64`
765×	`fma-neg_binary64`
457×	`times-frac_binary64`
345×	`*-commutative_binary64`
273×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	2225
1	775	1932
2	2109	1907
3	7740	1907

Stop Event

1×	node limit

Counts

149 → 149

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x (*.f64 x -1/6)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 (.f64 x -1/6))))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -1/6))))
(exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 (*.f64 x -1/6)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 (*.f64 x -1/6)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 (.f64 x -1/6)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (.f64 x -1/6)) (.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (.f64 x -1/6)) (.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (.f64 (.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 x (.f64 x -1/6))) (*.f64 (log.f64 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (.f64 x x) (fma.f64 x -1/6 1/2))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) (fma.f64 x -1/6 1/2))))
(.f64 x (fma.f64 (.f64 x x) -1/6 (*.f64 x -1/2)))
(.f64 x (fma.f64 x -1/2 (.f64 x (*.f64 x -1/6))))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 1)
(.f64 1 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(.f64 (.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/6 -1/2)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (/.f64 1 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (.f64 (*.f64 x x) (fma.f64 x -1/6 1/2))))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 6) -1/8 (*.f64 (pow.f64 x 9) -1/216))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 1/2)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 x (.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 x -1/6 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216))) (neg.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)
(pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 6) -1/8 (*.f64 (pow.f64 x 9) -1/216))) -1)
(pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 1/2)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -1/6 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (*.f64 x -1/2))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x -1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x -1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x -1/2)))) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x -1/2)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -1/2)))) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2)))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -1/6 -1/2))) 1) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -1/6 -1/2))))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -1/6 -1/2))))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -1/6 -1/2)) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -1/6 -1/2)) (.f64 (.f64 2 (log.f64 x)) 1)))
(fma.f64 x (.f64 x (.f64 x -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 x (.f64 x -1/2) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 -1/6 (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 -1/6 (pow.f64 x 3)) 1 (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x (.f64 x -1/2)) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/6 (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/6)) 2) (.f64 (cbrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (.f64 x -1/2)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/6)) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x (.f64 x -1/6)) x (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x -1/2) x (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/6))) 2) (cbrt.f64 (.f64 x -1/6)) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (.f64 x -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x -1/6) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x -1/2)))

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 x (*.f64 x -1/6)))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 (.f64 x -1/6))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -1/6))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 (*.f64 x -1/6)) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 (*.f64 x -1/6)) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 (.f64 x -1/6)) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (*.f64 2 (log.f64 x))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 (.f64 x -1/6)) (.f64 (log.f64 x) 2)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (*.f64 (log.f64 x) 2)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 (.f64 x -1/6)) (.f64 (*.f64 2 (log.f64 x)) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x -1/6)) 1) (.f64 (.f64 2 (log.f64 x)) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 (.f64 x (.f64 x -1/6))) (*.f64 (log.f64 x) 1)))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (.f64 x x) (fma.f64 x -1/6 1/2))) (/.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) (fma.f64 x -1/6 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (.f64 x (.f64 x (fma.f64 x -1/6 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 4) -1/4)) (.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))))
(/.f64 (-.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) 1)) (.f64 (*.f64 x x) 1/4)) (fma.f64 -1/6 x 1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) 1) (neg.f64 (.f64 (.f64 x x) 1/4))) (fma.f64 -1/6 x 1/2))
(.f64 x (fma.f64 (.f64 x x) -1/6 (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 x (fma.f64 x -1/2 (.f64 x (*.f64 x -1/6))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 1 (.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/6 x -1/2))) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4)))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/6 x -1/2))) 4)))
(.f64 (.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/6 -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (/.f64 1 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) 1) (fma.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/6 (.f64 (pow.f64 x 4) (.f64 x 1/2)) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 x (.f64 (.f64 x -1/2) (.f64 (.f64 x x) (fma.f64 x 1/6 -1/2))) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (.f64 (*.f64 x x) (fma.f64 x -1/6 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (.f64 x (.f64 x (fma.f64 x -1/6 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 4) -1/4)) (.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))))
(/.f64 (-.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) 1)) (.f64 (*.f64 x x) 1/4)) (fma.f64 -1/6 x 1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) 1) (neg.f64 (.f64 (.f64 x x) 1/4))) (fma.f64 -1/6 x 1/2))
(.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 6) -1/8 (*.f64 (pow.f64 x 9) -1/216))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) 1) (fma.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 -1/6 (.f64 (pow.f64 x 4) (.f64 x 1/2)) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 x (.f64 (.f64 x -1/2) (.f64 (.f64 x x) (fma.f64 x 1/6 -1/2))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 1/2)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 4) 1/4)) (.f64 x (.f64 x (fma.f64 x -1/6 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 (pow.f64 x 4) -1/4)) (.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))))
(/.f64 (-.f64 (.f64 1/36 (/.f64 (pow.f64 x 4) 1)) (.f64 (*.f64 x x) 1/4)) (fma.f64 -1/6 x 1/2))
(/.f64 (fma.f64 1/36 (/.f64 (pow.f64 x 4) 1) (neg.f64 (.f64 (.f64 x x) 1/4))) (fma.f64 -1/6 x 1/2))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) 1) (fma.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (.f64 (pow.f64 x 9) -1/216)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
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(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/6)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 (sqrt.f64 (.f64 x -1/6)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 x -1/6))) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x (.f64 x -1/6)) x (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 x -1/2) x (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (.f64 x -1/6))) 2) (cbrt.f64 (.f64 x -1/6)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/6))) (sqrt.f64 (.f64 x -1/6)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))
(fma.f64 (.f64 (.f64 x -1/6) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 (fma.f64 -1/6 x -1/2) (.f64 x x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`pow1_binary64`
515×	`add-sqr-sqrt_binary64`
492×	`add-log-exp_binary64`
492×	`log1p-expm1-u_binary64`
492×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	123	7
2	1446	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

814×	`log-prod_binary64`
418×	`distribute-rgt-in_binary64`
407×	`distribute-lft-in_binary64`
381×	`distribute-rgt-out_binary64`
320×	`exp-sum_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	88	161
2	282	161
3	1539	161
4	5804	23

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

eval442.0ms (6.6%)

Compiler: Compiled 16588 to 11774 computations (29% saved)

prune142.0ms (2.1%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	605	3	608
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	606	13	619

Error

Counts

619 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	60.5b	0
✓	51.8b	(*.f64 (neg.f64 (expm1.f64 x)) -1/2)
✓	58.6b	(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
✓	52.0b	(.f64 (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (.f64 x x) -1/2)) x) -1/2)
✓	52.0b	(.f64 (-.f64 (.f64 x (.f64 -1/6 (.f64 x x))) x) -1/2)
✓	52.0b	(.f64 (-.f64 (.f64 x (.f64 x (+.f64 (.f64 x -1/6) -1/2))) x) -1/2)
✓	0.6b	(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
✓	52.0b	(.f64 (.f64 x (+.f64 -1 (*.f64 x -1/2))) -1/2)
	60.2b	(.f64 1/4 (.f64 x x))
✓	52.0b	(*.f64 (neg.f64 x) -1/2)
✓	52.0b	(.f64 (-.f64 (.f64 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)))) x) -1/2)
	52.0b	(.f64 (-.f64 (.f64 x (-.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))) x) -1/2)
✓	0.9b	(.f64 (.f64 -2 x) -1/2)

Compiler

Compiled 152 to 110 computations (27.6% saved)

regimes36.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
0
(*.f64 (neg.f64 x) -1/2)
(.f64 1/4 (.f64 x x))
(.f64 (.f64 -2 x) -1/2)
(.f64 (.f64 x (*.f64 x -1/2)) -1/2)
(.f64 (.f64 x (+.f64 -1 (*.f64 x -1/2))) -1/2)
(.f64 (-.f64 (.f64 x (.f64 -1/6 (.f64 x x))) x) -1/2)
(.f64 (-.f64 (.f64 x (.f64 x (+.f64 (.f64 x -1/6) -1/2))) x) -1/2)
(.f64 (-.f64 (.f64 x (-.f64 (.f64 x (.f64 x -1/6)) (*.f64 x -1/2))) x) -1/2)
(.f64 (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) (.f64 (.f64 x x) -1/2)) x) -1/2)
(.f64 (-.f64 (.f64 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)))) x) -1/2)
(*.f64 (neg.f64 (expm1.f64 x)) -1/2)
(*.f64 (-.f64 1 (exp.f64 x)) -1/2)
(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)

Calls

5 calls:

9.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.6b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.6b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0.6b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 195 to 132 computations (32.3% saved)

regimes13.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.9b	1	`x`

Compiler

Compiled 136 to 92 computations (32.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -8.6b remaining (-16.6%)

Threshold costs -8.6b (-16.6%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(*.f64 (neg.f64 x) -1/2)
(.f64 1/4 (.f64 x x))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
52.0b	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	26	28
2	35	28
3	40	28
4	41	28

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
(.f64 (.f64 -2 x) -1/2)
(*.f64 (neg.f64 x) -1/2)
0

Outputs
(.f64 (+.f64 (.f64 -2 x) (*.f64 -1/3 (pow.f64 x 3))) -1/2)
(.f64 (.f64 -2 x) -1/2)
(*.f64 (neg.f64 x) -1/2)
(*.f64 -1/2 (neg.f64 x))
(*.f64 x 1/2)
0

Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness152.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12

Stop Event

1×	node limit

Compiler

Compiled 114 to 92 computations (19.3% saved)

end29.0ms (0.4%)

Compiler: Compiled 21 to 17 computations (19% saved)

Details

analyze4.0ms (0.1%)

sample3.0s (44.5%)

preprocess90.0ms (1.3%)

simplify61.0ms (0.9%)

eval2.0ms (0%)

prune2.0ms (0%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

rewrite122.0ms (1.8%)

simplify56.0ms (0.8%)

eval70.0ms (1%)

prune51.0ms (0.8%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite59.0ms (0.9%)

simplify61.0ms (0.9%)

localize11.0ms (0.2%)

localize55.0ms (0.8%)

series4.0ms (0.1%)

rewrite64.0ms (1%)

simplify60.0ms (0.9%)

eval69.0ms (1%)

prune20.0ms (0.3%)

localize8.0ms (0.1%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite107.0ms (1.6%)

simplify124.0ms (1.9%)

localize33.0ms (0.5%)

series4.0ms (0.1%)

rewrite71.0ms (1.1%)

simplify90.0ms (1.3%)

localize39.0ms (0.6%)

series10.0ms (0.2%)

rewrite119.0ms (1.8%)

simplify144.0ms (2.2%)

eval220.0ms (3.3%)

prune70.0ms (1.1%)

localize180.0ms (2.7%)

series6.0ms (0.1%)

rewrite116.0ms (1.7%)

simplify108.0ms (1.6%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite53.0ms (0.8%)

simplify72.0ms (1.1%)

localize61.0ms (0.9%)

series2.0ms (0%)

rewrite90.0ms (1.4%)

simplify115.0ms (1.7%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.7%)

simplify50.0ms (0.8%)

eval442.0ms (6.6%)

prune142.0ms (2.1%)

regimes36.0ms (0.5%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness152.0ms (2.3%)

end29.0ms (0.4%)

Profiling