Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.1s (41.4%)

Results

1.1s	2800×	body	1024	valid
517.0ms	3841×	body	256	valid
285.0ms	1320×	body	512	valid
147.0ms	295×	body	2048	valid
1.0ms	8×	body	256	invalid

preprocess24.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	83	6
2	1104	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

688×	`times-frac_binary64`
634×	`associate-/l/_binary64`
536×	`unswap-sqr_binary64`
497×	`associate-l_binary64`
474×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	87
1	60	85
2	120	85
3	326	79
4	792	76
5	2430	76
6	4398	76

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval7.0ms (0.1%)

Compiler: Compiled 345 to 161 computations (53.3% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Error

Counts

41 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.4b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
✓	0.0b	(/.f64 (expm1.f64 x) x)
	19.3b	1
▶	0.5b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
▶	19.2b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
▶	19.4b	(+.f64 (*.f64 1/2 x) 1)

Compiler

Compiled 51 to 41 computations (19.6% saved)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 10

Calls

6 calls:

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

rewrite94.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	243	19
2	2975	19

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs
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Outputs

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

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

803×	`sqr-pow_binary64`
546×	`associate-l_binary64`
540×	`cube-prod_binary64`
535×	`fabs-mul_binary64`
513×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	29	90
2	47	88
3	91	72
4	202	72
5	530	72
6	1788	72
7	3132	72
8	3338	72
9	3551	72
10	3771	72
11	4082	72
12	4484	72
13	4992	72
14	5556	72
15	6246	72
16	7079	72
17	7473	72
18	7761	72

Stop Event

1×	node limit

Counts

125 → 124

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
	0.2b	(cbrt.f64 (/.f64 (expm1.f64 x) x))
	0.0b	(/.f64 (expm1.f64 x) x)
	0.0b	(/.f64 (expm1.f64 x) x)
✓	0.2b	(cbrt.f64 (/.f64 (expm1.f64 x) x))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)

series6.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 (expm1.f64 x) x))
1.0ms	x	@	inf	(cbrt.f64 (/.f64 (expm1.f64 x) x))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)

rewrite81.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	152	14
2	1626	14

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))

Outputs

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

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

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-def_binary64`
776×	`sqr-pow_binary64`
606×	`cube-prod_binary64`
482×	`fabs-mul_binary64`
390×	`pow-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	82
1	77	78
2	182	75
3	516	62
4	1342	56
5	2371	56
6	2893	56
7	3026	56
8	3180	56
9	3370	56
10	3625	56
11	4275	56
12	4684	56
13	5211	56
14	5871	56
15	6701	56
16	7100	56
17	7464	56
18	7802	56

Stop Event

1×	node limit

Counts

80 → 85

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (.f64 (.f64 x x) 1/36)))
(+.f64 1 (fma.f64 x 1/6 (.f64 x (.f64 x 1/36))))
(fma.f64 x 1/6 (fma.f64 x (*.f64 x 1/36) 1))
(fma.f64 x (fma.f64 x 1/36 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/6 x (fma.f64 1/324 (pow.f64 x 3) (.f64 (.f64 x x) 1/36))))
(+.f64 1 (fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 1/324 (.f64 x (.f64 x 1/36)))))
(+.f64 1 (fma.f64 x 1/6 (.f64 (.f64 x x) (+.f64 1/36 (*.f64 x 1/324)))))
(fma.f64 x 1/6 (fma.f64 (*.f64 x x) (fma.f64 x 1/324 1/36) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/324 1/36) 1/6) 1)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.0b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
	0.2b	(*.f64 1/6 (pow.f64 x 2))
	0.1b	(*.f64 1/24 (pow.f64 x 3))
	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
✓	0.1b	(*.f64 1/24 (pow.f64 x 3))
	0.2b	(*.f64 1/6 (pow.f64 x 2))
✓	12.0b	(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))

series5.0ms (0.1%)

Counts

3 → 17

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))
1.0ms	x	@	inf	(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
1.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`fma-def_binary64`
686×	`log-prod_binary64`
439×	`fma-neg_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	362	41
2	4535	41

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/36) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))) (/.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (/.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/36)) (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1)) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (*.f64 x x) (*.f64 1/6 (fma.f64 1/24 (pow.f64 x 3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2))) (neg.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (fma.f64 1/6 (*.f64 x x) 1) (-.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (*.f64 (pow.f64 x 4) 1/36)) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) 1) (fma.f64 1/6 (*.f64 x x) 1) (neg.f64 (*.f64 1/576 (pow.f64 x 6)))) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))) (exp.f64 (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)) (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/24) (pow.f64 x 3)) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 x 3)))) (exp.f64 (fma.f64 1/6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1))) (pow.f64 (exp.f64 1/6) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1))) (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) 1)) (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/24) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) 1 (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/24 (pow.f64 x 3)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/24 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/24 (pow.f64 x 3)) 1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/24)) (pow.f64 (*.f64 x (cbrt.f64 1/24)) 2) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/24)) 2) (*.f64 x (cbrt.f64 1/24)) (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 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(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6) (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 1/216 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/36))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/13824 (pow.f64 (pow.f64 x 3) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/576 (pow.f64 x 6) (*.f64 -1/24 (pow.f64 x 3))))) (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (/.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/576 (pow.f64 x 6))) (/.f64 1 (+.f64 1 (*.f64 -1/24 (pow.f64 x 3)))) (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)) 1 (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2))) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2)))) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2))) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1))) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 x 1/2))) (fma.f64 1/24 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (+.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) 1))))))

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
536×	`unswap-sqr_binary64`
488×	`associate-l_binary64`
460×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	189
1	58	189
2	120	179
3	316	156
4	757	146
5	2262	146
6	3891	146
7	4119	146
8	4418	146
9	4957	146
10	5954	146
11	7962	146

Stop Event

1×	node limit

Counts

203 → 200

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 1))
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/2 1) (fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) (fma.f64 x 1/2 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 x 1/2 1) (fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) (fma.f64 x 1/2 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)

eval277.0ms (5.5%)

Compiler: Compiled 8741 to 5964 computations (31.8% saved)

prune63.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	478	4	482
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	481	7	488

Error

Counts

488 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.4b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (.f64 x x) 1)))
▶	19.2b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
	19.3b	1
▶	19.4b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	61.8b	(.f64 x (.f64 x 1/6))
✓	19.4b	(+.f64 (*.f64 1/2 x) 1)

Compiler

Compiled 71 to 52 computations (26.8% saved)

localize3.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	105	132
5	315	132
6	1204	132
7	2080	132
8	2244	132
9	2428	132
10	2636	132
11	2925	132
12	3318	132
13	3796	132
14	4359	132
15	5045	132
16	5882	132
17	6274	132
18	6562	132
19	6842	132
20	6914	132
21	6948	132
22	7889	132

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.0b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
	0.2b	(.f64 1/6 (.f64 x x))
	0.1b	(*.f64 1/24 (pow.f64 x 3))
	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
	0.1b	(*.f64 1/24 (pow.f64 x 3))
✓	0.2b	(.f64 1/6 (.f64 x x))
✓	12.0b	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
0.0ms	x	@	inf	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
0.0ms	x	@	-inf	(+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))

rewrite92.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
530×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
212×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	390	41
2	4965	41

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))

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

(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (pow.f64 x 4)) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))) (/.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3) (*.f64 1/216 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (pow.f64 x 4)) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (/.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))))) (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3) (*.f64 1/216 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1)) (-.f64 (*.f64 1/36 (pow.f64 x 4)) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3) (*.f64 1/216 (pow.f64 x 6))) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3) (*.f64 1/216 (pow.f64 x 6))) (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (-.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 1/6 (*.f64 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/36 (pow.f64 x 4)) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2)) (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 3) (*.f64 1/216 (pow.f64 x 6)))) (neg.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (-.f64 (fma.f64 1/24 (pow.f64 x 3) 1) (*.f64 1/6 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/36 (pow.f64 x 4)) (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2))) (neg.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3))))) (*.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1 (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))))) (*.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3))))) (*.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))))) (*.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 1 (*.f64 -1/24 (pow.f64 x 3)))) (*.f64 (*.f64 1/36 (pow.f64 x 4)) (-.f64 1 (*.f64 1/576 (pow.f64 x 6))))) (*.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 (*.f64 1/36 (pow.f64 x 4))) (+.f64 1 (*.f64 -1/24 (pow.f64 x 3)))) (*.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (-.f64 1 (*.f64 1/576 (pow.f64 x 6))))) (*.f64 (neg.f64 (*.f64 1/6 (*.f64 x x))) (+.f64 1 (*.f64 -1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))) (*.f64 1/36 (pow.f64 x 4))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3)))) (*.f64 1/216 (pow.f64 x 6)))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3)))) (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 1/576 (pow.f64 x 6))) (*.f64 1/36 (pow.f64 x 4))) (*.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 3))) (*.f64 1/216 (pow.f64 x 6)))) (*.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 3))) (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))) (neg.f64 (*.f64 1/6 (*.f64 x x)))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3)))) (neg.f64 (*.f64 1/36 (pow.f64 x 4))))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 3)))) (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 1/576 (pow.f64 x 6))) (neg.f64 (*.f64 1/6 (*.f64 x x)))) (*.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 3))) (neg.f64 (*.f64 1/36 (pow.f64 x 4))))) (*.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 3))) (neg.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 2) (*.f64 0 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) (*.f64 1/13824 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (fma.f64 1/6 (*.f64 x x) 1) (fma.f64 1/6 (*.f64 x x) 1)) (-.f64 (*.f64 1/576 (pow.f64 x 6)) (*.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) 2)) (-.f64 0 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 3) 1) 2) (*.f64 1/36 (pow.f64 x 4))) (-.f64 (fma.f64 1/24 (pow.f64 x 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(*.f64 1/6 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1))) (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/24 (pow.f64 x 3) 1)) (*.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 1/6) (*.f64 x x))) (exp.f64 (fma.f64 1/24 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 1/6 x)))) (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (pow.f64 (exp.f64 1/6) (*.f64 x x))) (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (sqrt.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))) 1))))))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
536×	`unswap-sqr_binary64`
496×	`associate-l_binary64`
450×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	396
1	68	378
2	136	372
3	327	328
4	751	315
5	2256	315
6	3870	315
7	4098	315
8	4397	315
9	4936	315
10	5933	315
11	7944	315

Stop Event

1×	node limit

Counts

192 → 175

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (.f64 x 1/2)))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (.f64 x 1/2)))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`fma-def_binary64`
472×	`log-prod_binary64`
349×	`fma-neg_binary64`
322×	`pow-prod-down_binary64`
275×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	271	12
2	3318	11

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

804×	`sqr-pow_binary64`
540×	`cube-prod_binary64`
532×	`fabs-mul_binary64`
527×	`associate-l_binary64`
514×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	33	114
2	49	112
3	93	90
4	204	90
5	530	90
6	1753	90
7	3089	90
8	3295	90
9	3508	90
10	3728	90
11	4035	90
12	4435	90
13	4943	90
14	5503	90
15	6191	90
16	7028	90
17	7416	90
18	7708	90
19	7988	90

Stop Event

1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	12.0b	(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))
	0.3b	(*.f64 x 1/24)
	0.0b	(fma.f64 1/6 (*.f64 x x) 1)
	0.0b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (.f64 x x) 1)))
✓	0.0b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (.f64 x x) 1)))
✓	0.0b	(fma.f64 1/6 (*.f64 x x) 1)
✓	0.3b	(*.f64 x 1/24)
✓	12.0b	(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))
0.0ms	x	@	0	(*.f64 x 1/24)
0.0ms	x	@	inf	(fma.f64 1/6 (*.f64 x x) 1)

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`prod-diff_binary64`
501×	`log-prod_binary64`
316×	`fma-def_binary64`
300×	`pow2_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	249	50
2	2961	46

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (*.f64 x x) 1))
(*.f64 x 1/24)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (fma.f64 1/6 (.f64 x x) 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 (pow.f64 x 3) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/24) (fma.f64 (.f64 x x) 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 3) 1/24) 1) (fma.f64 (.f64 x x) 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3) 1/24 (.f64 (.f64 1/6 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/24) 3) (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/24) 2) (-.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2) (.f64 (.f64 (pow.f64 x 3) 1/24) (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/24) 2) (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2)) (-.f64 (.f64 (pow.f64 x 3) 1/24) (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1)) (exp.f64 (.f64 (pow.f64 x 3) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) 1/6 1))) (exp.f64 (.f64 (pow.f64 x 3) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 3) 1/24)) (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 1/576) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x 1/24)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 1/6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 x x) 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 1/6 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) 1/6 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 x x) 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/6 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2)) (cbrt.f64 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/6 1)) (sqrt.f64 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 x) x) 3) 1) (+.f64 (pow.f64 (.f64 (.f64 1/6 x) x) 2) (-.f64 1 (.f64 (.f64 (.f64 1/6 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 1/6 x) x) 2) 1) (fma.f64 (.f64 1/6 x) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/6 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/6 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 1/6 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 (.f64 1/6 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 1/6 x) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2) (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (-.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2)) (/.f64 1 (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (-.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (.f64 x 1/2)))) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3)) (fma.f64 (.f64 x x) 1/4 (.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (-.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2)) (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 3))) (neg.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (-.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 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(log1p.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x (.f64 x 1/24)) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/24) (.f64 x x) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (pow.f64 x 3) 1/24) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)) 1 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/24 (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1))) 2) (.f64 x 1/2))))) (#(struct:change #<rule 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1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/24)) 2) (cbrt.f64 (.f64 (pow.f64 x 3) 1/24)) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 1/24)) (sqrt.f64 (.f64 (pow.f64 x 3) 1/24)) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/24))) (.f64 x (sqrt.f64 (.f64 x 1/24))) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) 1/24) x (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 x x) 1/576))) (cbrt.f64 (.f64 x 1/24)) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x 1/24))) (sqrt.f64 (.f64 x 1/24)) (+.f64 (fma.f64 (.f64 x x) 1/6 1) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (.f64 x x) 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (*.f64 x x) 1/6 1)))) 1))))))

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
536×	`unswap-sqr_binary64`
501×	`associate-l_binary64`
450×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	447
1	70	429
2	136	423
3	313	379
4	733	366
5	2253	366
6	3881	366
7	4109	366
8	4408	366
9	4947	366
10	5944	366
11	7956	366

Stop Event

1×	node limit

Counts

189 → 163

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 1))
(fma.f64 x (fma.f64 1/6 x 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/24 1/6))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/6 (.f64 x x) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 1/6 x 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)

eval335.0ms (6.7%)

Compiler: Compiled 11141 to 8087 computations (27.4% saved)

prune212.0ms (4.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	527	1	528
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	528	7	535

Error

Counts

535 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	1
▶	19.4b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (*.f64 1/6 x) x) 1)))
✓	19.4b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
✓	19.2b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	61.8b	(.f64 x (.f64 x 1/6))
✓	19.4b	(+.f64 (*.f64 1/2 x) 1)

Compiler

Compiled 72 to 54 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/6 x)
	0.3b	(*.f64 x 1/24)
	0.1b	(.f64 (.f64 1/6 x) x)
	0.0b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (*.f64 1/6 x) x) 1)))
✓	0.1b	(.f64 (.f64 1/6 x) x)
	0.3b	(*.f64 x 1/24)
✓	0.3b	(*.f64 1/6 x)
✓	12.0b	(fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (.f64 1/6 x) x) 1))

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (.f64 1/6 x) x) 1))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (.f64 1/6 x) x) 1))
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (.f64 1/6 x) x) 1))
0.0ms	x	@	-inf	(.f64 (.f64 1/6 x) x)
0.0ms	x	@	0	(.f64 (.f64 1/6 x) x)

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
445×	`prod-diff_binary64`
369×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
269×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	228	28
2	2670	26

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (.f64 1/6 x) x) 1))
(*.f64 1/6 x)
(.f64 (.f64 1/6 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) 1) (*.f64 (pow.f64 x 3) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/24) (fma.f64 x (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/24) 1) (fma.f64 x (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3) 1/24 1) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/24) 3) (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/24) 2) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (*.f64 (*.f64 (pow.f64 x 3) 1/24) (fma.f64 x (*.f64 x 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/24) 2) (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2)) (-.f64 (*.f64 (pow.f64 x 3) 1/24) (fma.f64 x (*.f64 x 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) 1))) (pow.f64 (exp.f64 (pow.f64 x 3)) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/24) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) 1) 1))))))

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

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

simplify181.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
674×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
489×	`*-commutative_binary64`
488×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	237
1	38	225
2	75	223
3	194	201
4	457	201
5	1572	201
6	3464	201
7	3829	201
8	4079	201
9	4366	201
10	4745	201
11	5299	201
12	5930	201
13	6638	201
14	7111	201
15	7432	201
16	7700	201
17	7868	201
18	7958	201

Stop Event

1×	node limit

Counts

119 → 105

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(*.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))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 1/6 (*.f64 x 1/24)))
(.f64 x (.f64 x (fma.f64 x 1/24 1/6)))
(.f64 (.f64 x x) (fma.f64 x 1/24 1/6))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1)
(*.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))

eval105.0ms (2.1%)

Compiler: Compiled 2694 to 1908 computations (29.2% saved)

prune17.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	124	7	131

Error

Counts

131 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	19.3b	1
✓	19.4b	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) (.f64 x 1/24) (+.f64 (.f64 (*.f64 1/6 x) x) 1)))
✓	19.4b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (.f64 x x))) (+.f64 1 (.f64 1/24 (pow.f64 x 3)))))
✓	19.2b	(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	61.8b	(.f64 x (.f64 x 1/6))
✓	19.4b	(+.f64 (*.f64 1/2 x) 1)

Compiler

Compiled 72 to 54 computations (25% saved)

regimes18.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 140 to 96 computations (31.4% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
19.2b	1	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes26.0ms (0.5%)

Accuracy

Total -42.7b remaining (-221%)

Threshold costs -42.7b (-221%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
19.3b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`+-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	21	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
1

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 0 (.f64 1/6 (*.f64 x x))) 1))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/6 (*.f64 x x)) 1))
1

end24.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 36 to 26 computations (27.8% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Details

analyze4.0ms (0.1%)

sample2.1s (41.4%)

preprocess24.0ms (0.5%)

simplify13.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1%)

simplify38.0ms (0.7%)

eval7.0ms (0.1%)

prune9.0ms (0.2%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite94.0ms (1.9%)

simplify120.0ms (2.4%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite81.0ms (1.6%)

simplify122.0ms (2.4%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite88.0ms (1.8%)

simplify90.0ms (1.8%)

eval277.0ms (5.5%)

prune63.0ms (1.3%)

localize3.0ms (0.1%)

series2.0ms (0%)

rewrite68.0ms (1.4%)

simplify142.0ms (2.8%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite92.0ms (1.8%)

simplify98.0ms (2%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (1%)

simplify127.0ms (2.5%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite71.0ms (1.4%)

simplify99.0ms (2%)

eval335.0ms (6.7%)

prune212.0ms (4.2%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite69.0ms (1.4%)

simplify181.0ms (3.6%)

eval105.0ms (2.1%)

prune17.0ms (0.3%)

regimes18.0ms (0.4%)

regimes5.0ms (0.1%)

regimes26.0ms (0.5%)

simplify2.0ms (0%)

end24.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6