Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
90.9%	62.5%	6.2%	0%	31.2%	0%	0%	6
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	7
97.7%	65.6%	1.6%	0%	32.8%	0%	0%	8
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	9
99.4%	66.4%	0.4%	0%	33.2%	0%	0%	10
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	11
99.9%	66.6%	0.1%	0%	33.3%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (15.3%)

Results

1.1s	8256×	body	256	valid
1.0ms	7×	body	256	infinite

Bogosity

preprocess139.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	0.1b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x -2 3))
✓	0.1b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	0	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x -2 3))
0.0ms	x	@	0	(*.f64 x (fma.f64 x -2 3))

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
601×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	143	19
2	1613	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 x (fma.f64 x -2 3))

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

Outputs

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

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

simplify185.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) (.f64 (.f64 x -2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 27 (.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 9 (.f64 (.f64 x x) 4))) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 3 (.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 (.f64 x -2)) 3) (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

simplify193.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	147
1	26	147
2	58	138
3	152	120
4	418	120
5	1671	120
6	3415	120
7	3771	120
8	4021	120
9	4308	120
10	4687	120
11	5244	120
12	5864	120
13	6570	120
14	7043	120
15	7360	120
16	7632	120
17	7802	120
18	7896	120

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

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

eval14.0ms (0.2%)

Compiler: Compiled 650 to 437 computations (32.8% saved)

prune17.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	50	10	60
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	51	11	62

Error

0.0b

Counts

62 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	17.3b	(.f64 x (.f64 3 x))
▶	9.9b	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
	0.8b	(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
▶	17.3b	(.f64 3 (.f64 x x))
	13.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3)))
▶	4.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
▶	21.6b	(.f64 x (.f64 x (*.f64 x -2)))
	21.6b	(*.f64 -2 (pow.f64 x 3))
▶	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 222 to 155 computations (30.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
430×	`prod-exp_binary64`
428×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
355×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	19
2	2733	19

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 1) (*.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 3) (pow.f64 (*.f64 x (*.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 x 3)) 2)) (-.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3)) x) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3))) x) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3))) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3)))) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))))) (#(struct:change 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fma.f64 3 x (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) 1 (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -2 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (cbrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -2) 2)) (*.f64 (cbrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -2))) (sqrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -2) 2))) (cbrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 3))))))

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

173 → 158

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 3 (.f64 x x))
0.0ms	x	@	inf	(.f64 3 (.f64 x x))
0.0ms	x	@	-inf	(.f64 3 (.f64 x x))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify196.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1415	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify490.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

Outputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

localize59.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.0b	(-.f64 9 (.f64 (.f64 x x) 4))
✓	0.2b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	3.8b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) 4)

rewrite106.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
443×	`prod-diff_binary64`
257×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	294	46
2	3991	42

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
(-.f64 9 (.f64 (.f64 x x) 4))
(.f64 (.f64 x x) 4)

Outputs
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#<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2) (cbrt.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 9)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 81 (.f64 16 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x 4) 9) (-.f64 81 (.f64 16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (.f64 16 (pow.f64 x 4))) (fma.f64 x (.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 81 (.f64 16 (pow.f64 x 4)))) (neg.f64 (fma.f64 x (.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729 (pow.f64 (.f64 (.f64 x x) -4) 3)) (+.f64 81 (-.f64 (.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4)) (.f64 9 (.f64 (.f64 x x) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4))) (-.f64 9 (.f64 (.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) -4 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (.f64 x 4) 9) (-.f64 81 (.f64 16 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) -4 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (.f64 x 4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) -4 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x (neg.f64 x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (neg.f64 (+.f64 x x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 x x) -4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (neg.f64 x)) 4 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) -4)) (cbrt.f64 (.f64 (.f64 x x) -4))) (cbrt.f64 (.f64 (.f64 x x) -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 x x) -4)) (sqrt.f64 (.f64 (.f64 x x) -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x (.f64 x 4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (.f64 x 4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 9)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 64 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (+.f64 x x))) 1))))))

simplify205.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
454×	`fabs-mul_binary64`
392×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	483
1	45	465
2	99	456
3	261	438
4	901	438
5	1618	438
6	3116	438
7	3235	438
8	3408	438
9	3623	438
10	3906	438
11	4280	438
12	4725	438
13	5278	438
14	5968	438
15	6429	438
16	6738	438
17	7008	438
18	7220	438
19	7410	438

Stop Event

1×	node limit

Counts

193 → 162

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -4) 9) (*.f64 x x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 3 (*.f64 x -2)))
✓	0.2b	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
✓	0.3b	(.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2))))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series9.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2))))
2.0ms	x	@	0	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
1.0ms	x	@	0	(.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2))))
1.0ms	x	@	inf	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
1.0ms	x	@	-inf	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
882×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	217	28
2	2506	28

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2))))
(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
(sqrt.f64 (+.f64 3 (*.f64 x -2)))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -2 3)) (cbrt.f64 (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -2 3))) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -2 3) 1/4) (pow.f64 (fma.f64 x -2 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -2 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 9 (*.f64 (*.f64 x x) 4))) (sqrt.f64 (+.f64 3 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 27 (*.f64 (pow.f64 x 3) -8))) (sqrt.f64 (-.f64 (+.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -2 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -2 3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 3))))))))

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-/l*_binary64`
534×	`associate-/r*_binary64`
509×	`associate-*l/_binary64`
358×	`associate-*r/_binary64`
263×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	341
1	152	268
2	494	253
3	1962	212

Stop Event

1×	node limit

Counts

74 → 82

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 3) x)
(+.f64 (.f64 (sqrt.f64 3) x) (.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (.f64 (sqrt.f64 3) x) (.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2))) (.f64 5/4 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)))) (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2))) (.f64 5/4 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)))) (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(sqrt.f64 3)
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 3))) (sqrt.f64 3))
(+.f64 (.f64 -1 (/.f64 x (sqrt.f64 3))) (+.f64 (sqrt.f64 3) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 3) 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (.f64 -1 (/.f64 x (sqrt.f64 3))) (+.f64 (sqrt.f64 3) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 3) 3))))))

Outputs
(*.f64 (sqrt.f64 3) x)
(+.f64 (.f64 (sqrt.f64 3) x) (.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))
(fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3))))
(-.f64 (*.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x)))
(-.f64 (.f64 (sqrt.f64 3) x) (.f64 (/.f64 x (sqrt.f64 3)) x))
(*.f64 x (-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (.f64 (sqrt.f64 3) x) (*.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3)) (fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3)))))
(+.f64 (-.f64 (.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3)) (.f64 (sqrt.f64 3) x)) (.f64 (/.f64 x (sqrt.f64 3)) x))
(fma.f64 (sqrt.f64 3) x (.f64 (.f64 x (/.f64 x (sqrt.f64 3))) (+.f64 -1 (/.f64 x -6))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3))) (+.f64 (.f64 (sqrt.f64 3) x) (.f64 -1 (/.f64 (pow.f64 x 2) (sqrt.f64 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 3)) (fma.f64 (sqrt.f64 3) x (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (+.f64 (-.f64 (.f64 (sqrt.f64 3) x) (/.f64 x (/.f64 (sqrt.f64 3) x))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 3)) (.f64 (sqrt.f64 3) x))) (.f64 (/.f64 x (sqrt.f64 3)) x))
(fma.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 (sqrt.f64 3) x (.f64 (.f64 x (/.f64 x (sqrt.f64 3))) (+.f64 -1 (/.f64 x -6)))))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 2))
(.f64 x (.f64 x 3))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 2)))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2))) (.f64 5/4 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)))) (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2)) (/.f64 5/4 (pow.f64 (sqrt.f64 3) 6))) (pow.f64 x 6) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 2))))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 (.f64 x x) 3 (.f64 (+.f64 1/108 (neg.f64 (pow.f64 (/.f64 -1/6 (sqrt.f64 3)) 2))) (pow.f64 x 6))))
(fma.f64 (-.f64 1/108 (pow.f64 (/.f64 -1/6 (sqrt.f64 3)) 2)) (pow.f64 x 6) (.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3)))
(fma.f64 (pow.f64 x 6) 0 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2))) (.f64 5/4 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)))) (pow.f64 x 6)) (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 3) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sqrt.f64 3) 3)) 2)) (/.f64 5/4 (pow.f64 (sqrt.f64 3) 6))) (pow.f64 x 6) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 2))))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 (.f64 x x) 3 (.f64 (+.f64 1/108 (neg.f64 (pow.f64 (/.f64 -1/6 (sqrt.f64 3)) 2))) (pow.f64 x 6))))
(fma.f64 (-.f64 1/108 (pow.f64 (/.f64 -1/6 (sqrt.f64 3)) 2)) (pow.f64 x 6) (.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3)))
(fma.f64 (pow.f64 x 6) 0 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(sqrt.f64 3)
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 3))) (sqrt.f64 3))
(fma.f64 -1 (/.f64 x (sqrt.f64 3)) (sqrt.f64 3))
(-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3)))
(+.f64 (.f64 -1 (/.f64 x (sqrt.f64 3))) (+.f64 (sqrt.f64 3) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 3) 3)))))
(+.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 3)) (sqrt.f64 3)) (.f64 -1/2 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 3))))
(+.f64 (-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3))) (*.f64 -1/6 (/.f64 x (/.f64 (sqrt.f64 3) x))))
(fma.f64 -1/6 (*.f64 (/.f64 x (sqrt.f64 3)) x) (-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3))))
(+.f64 (sqrt.f64 3) (*.f64 (/.f64 x (sqrt.f64 3)) (+.f64 -1 (/.f64 x -6))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5))) (+.f64 (.f64 -1 (/.f64 x (sqrt.f64 3))) (+.f64 (sqrt.f64 3) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 3) 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5)) (+.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 3)) (sqrt.f64 3)) (.f64 -1/2 (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 3) 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5)) (+.f64 (-.f64 (sqrt.f64 3) (/.f64 x (sqrt.f64 3))) (*.f64 -1/6 (/.f64 x (/.f64 (sqrt.f64 3) x)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5)) (fma.f64 -1/6 (*.f64 (/.f64 x (sqrt.f64 3)) x) (sqrt.f64 3))) (/.f64 x (sqrt.f64 3)))
(+.f64 (sqrt.f64 3) (fma.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 3) 5)) (*.f64 (/.f64 x (sqrt.f64 3)) (+.f64 -1 (/.f64 x -6)))))

eval202.0ms (2.9%)

Compiler: Compiled 7254 to 4918 computations (32.2% saved)

prune76.0ms (1.1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	424	6	430
Fresh	3	2	5
Picked	1	0	1
Done	0	5	5
Total	428	13	441

Error

Counts

441 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	17.6b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	21.6b	(*.f64 -2 (pow.f64 x 3))
	25.2b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
▶	0.1b	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	17.3b	(.f64 x (.f64 x 3))
✓	17.3b	(.f64 3 (.f64 x x))
✓	4.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	25.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
▶	17.7b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
✓	21.6b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 226 to 158 computations (30.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 3 (.f64 x (.f64 x -2)))
✓	0.1b	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))

Compiler

Compiled 30 to 19 computations (36.7% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
1.0ms	x	@	0	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
1.0ms	x	@	-inf	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
0.0ms	x	@	0	(fma.f64 x 3 (.f64 x (.f64 x -2)))
0.0ms	x	@	inf	(fma.f64 x 3 (.f64 x (.f64 x -2)))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
683×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	163	23
2	1848	23

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
(fma.f64 x 3 (.f64 x (.f64 x -2)))

Outputs

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

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

simplify185.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

61 → 47

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 3))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 x 3))
0.0ms	x	@	inf	(.f64 x (.f64 x 3))
0.0ms	x	@	-inf	(.f64 x (.f64 x 3))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1140	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x 3))

Outputs

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

simplify183.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	0.1b	(.f64 (.f64 x x) (*.f64 x -2))
✓	0.1b	(.f64 (.f64 x x) 3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	25
2	2644	25

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (*.f64 x -2))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x 3)) (*.f64 (log.f64 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (*.f64 x -2))) (*.f64 (log.f64 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (*.f64 x x) (fma.f64 x -2 -3))) (/.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 3 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x (*.f64 x -2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 x -2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9)) (/.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3)) (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (fma.f64 (pow.f64 x 4) 9 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x x) (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (-.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3)) (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))) (pow.f64 (exp.f64 -2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -2 (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 3)) 1 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x 3)) 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -2)) (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (cbrt.f64 -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 (cbrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -2)) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) x (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -2 (pow.f64 x 3)))))))

simplify225.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	315
1	26	315
2	58	306
3	152	288
4	418	288
5	1671	288
6	3415	288
7	3771	288
8	4021	288
9	4308	288
10	4687	288
11	5244	288
12	5864	288
13	6570	288
14	7043	288
15	7360	288
16	7632	288
17	7802	288
18	7896	288

Stop Event

1×	node limit

Counts

188 → 156

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (pow.f64 x 3))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -2 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -2 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -2 (pow.f64 x 3))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1321	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 3))

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 3 (.f64 x x))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
✓	24.5b	(cbrt.f64 (.f64 3 (.f64 x x)))

Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	149	16
2	1474	16

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) 3) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 3) 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 3)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (sqrt.f64 3)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

54 → 54

Calls

Call 1

Inputs

Outputs

eval267.0ms (3.8%)

Compiler: Compiled 4023 to 2837 computations (29.5% saved)

prune43.0ms (0.6%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	3	3
Picked	0	1	1
Done	1	8	9
Total	297	13	310

Error

Counts

310 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.6b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	21.6b	(*.f64 -2 (pow.f64 x 3))
▶	25.2b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
✓	0.1b	(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	17.3b	(.f64 x (.f64 x 3))
✓	17.3b	(.f64 3 (.f64 x x))
▶	0.1b	(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
✓	4.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	25.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	17.7b	(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
✓	21.6b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 138 to 96 computations (30.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 3 (.f64 x -2)))
✓	0.1b	(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
0.0ms	x	@	-inf	(.f64 x (+.f64 3 (.f64 x -2)))
0.0ms	x	@	inf	(.f64 x (+.f64 3 (.f64 x -2)))
0.0ms	x	@	0	(.f64 x (+.f64 3 (.f64 x -2)))
0.0ms	x	@	inf	(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	19
2	2341	19

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (+.f64 3 (.f64 x -2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) x) (*.f64 (*.f64 -2 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -2)) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 27 (*.f64 (pow.f64 x 3) -8))) (+.f64 9 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (*.f64 x x)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) (*.f64 (*.f64 -2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (*.f64 -2 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (*.f64 (*.f64 -2 (*.f64 x x)) (*.f64 -2 (*.f64 x x))) (*.f64 (*.f64 x 3) (*.f64 -2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (*.f64 (*.f64 -2 (*.f64 x x)) (*.f64 -2 (*.f64 x x)))) (-.f64 (*.f64 x 3) (*.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (*.f64 (pow.f64 x 3) -8)) x) (+.f64 9 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) x) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 27 (*.f64 (pow.f64 x 3) -8))) (+.f64 9 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -2 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 -2 (*.f64 x x)))))))

simplify184.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

69 → 55

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -4 (pow.f64 x 4))
✓	3.8b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -4 (pow.f64 x 4))
1.0ms	x	@	0	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
0.0ms	x	@	inf	(*.f64 -4 (pow.f64 x 4))
0.0ms	x	@	inf	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
0.0ms	x	@	-inf	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))

rewrite125.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
413×	`exp-prod_binary64`
282×	`pow2_binary64`
268×	`pow-prod-down_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	242	21
2	3005	21

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
(*.f64 -4 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (fma.f64 x 2 3) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (pow.f64 x 4) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (*.f64 -4 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (pow.f64 x 4)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 8) 16) (pow.f64 (fma.f64 x 2 3) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 8) 16) (pow.f64 (fma.f64 x 2 3) -2))) (cbrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) (*.f64 (cbrt.f64 (*.f64 -4 (pow.f64 x 4))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) (sqrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 x 4)) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 -4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 4) 1) (/.f64 -4 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (fma.f64 x 2 3)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) 1) (/.f64 (cbrt.f64 (*.f64 -4 (pow.f64 x 4))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) 1) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (pow.f64 x 4) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 -4 (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 -4 (pow.f64 x 4)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 -4 (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 -4 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 16)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 -4 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 4)) (fma.f64 8 (pow.f64 x 3) 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 4)) (-.f64 9 (*.f64 4 (*.f64 x x)))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 8) 16) (pow.f64 (fma.f64 x 2 3) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (*.f64 (fma.f64 x 2 3) (pow.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -4 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/4 (*.f64 (fma.f64 x 2 3) (pow.f64 x -4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))) (sqrt.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -4 (pow.f64 x 4)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 8) 16) (pow.f64 (fma.f64 x 2 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (*.f64 (fma.f64 x 2 3) (pow.f64 x -4)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 4 (log.f64 x) (log.f64 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -4))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -4)))) (sqrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 4 (log.f64 x) (log.f64 -4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -4 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -4)) 1) 1))))))

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

616×	`*-commutative_binary64`
588×	`sqr-pow_binary64`
522×	`fma-def_binary64`
506×	`unswap-sqr_binary64`
402×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	190
1	101	190
2	245	182
3	707	166
4	2518	164
5	4366	164
6	4818	164
7	5225	164
8	5709	164
9	6265	164
10	6999	164
11	7883	164

Stop Event

1×	node limit

Counts

95 → 97

Calls

Call 1

Inputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))

Outputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(fma.f64 8/9 (pow.f64 x 5) (*.f64 -4/3 (pow.f64 x 4)))
(fma.f64 -4/3 (pow.f64 x 4) (*.f64 8/9 (pow.f64 x 5)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 -16/27 (pow.f64 x 6) (*.f64 8/9 (pow.f64 x 5))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 8/9 (pow.f64 x 5) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (*.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 -16/27 (pow.f64 x 6) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 8/9 (pow.f64 x 5) (fma.f64 -16/27 (pow.f64 x 6) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 -16/27 (pow.f64 x 6) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 8/9 (pow.f64 x 5) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 32/81 (pow.f64 x 7) (fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 x -9/2 (.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3)))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (fma.f64 x -9/2 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 x -9/2 (.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3)))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (fma.f64 x -9/2 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 9 (.f64 x x))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 9 (.f64 x x))
1.0ms	x	@	0	(.f64 9 (.f64 x x))
1.0ms	x	@	inf	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	0	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	-inf	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))

rewrite131.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
409×	`exp-prod_binary64`
277×	`pow-prod-down_binary64`
265×	`pow2_binary64`
183×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	21
2	2856	21

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(.f64 9 (.f64 x x))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (*.f64 x 3)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (*.f64 x 3))))) (sqrt.f64 (*.f64 2 (log.f64 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 3) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 1 (*.f64 (fma.f64 x 2 3) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 (*.f64 x x)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)) (cbrt.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 (*.f64 x 3) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9 x) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9 x) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2))) (/.f64 9 (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 9 (*.f64 x x)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2))) (cbrt.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2))) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9 x) (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 9 (*.f64 x x)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 4)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9 x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9 (*.f64 x x)) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 9 (*.f64 x x)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 9 (fma.f64 x 2 3)) (*.f64 x x))) 1) 1))))))

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
510×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
405×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	102	234
2	238	232
3	649	225
4	1880	219
5	4517	219

Stop Event

1×	node limit

Counts

111 → 105

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 (.f64 x x) 3 (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 -2 (pow.f64 x 3))))
(fma.f64 (.f64 x x) 3 (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 4/3 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 (.f64 x x) 3 (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5))))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3) (.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))

localize31.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))
✓	3.8b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
324×	`pow2_binary64`
276×	`pow-unpow_binary64`
229×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	264	21
2	3531	21

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (.f64 x (.f64 x -4)) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 -4 (pow.f64 x 3)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -4)) (/.f64 1 (*.f64 (fma.f64 x 2 3) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -4)) (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x -4)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (pow.f64 x 4) -4)) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 (pow.f64 x 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 -4 (pow.f64 x 3)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) 1) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 (*.f64 x (*.f64 x -4)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (fma.f64 x 2 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) 1) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 -4 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x -4)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 (pow.f64 x 4) -4) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 -4 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (*.f64 x -4)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 (pow.f64 x 4) -4) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (-.f64 9 (pow.f64 (+.f64 x x) 2))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -4) 3) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -4) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 1))))))

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

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

665×	`*-commutative_binary64`
588×	`sqr-pow_binary64`
522×	`fma-def_binary64`
506×	`unswap-sqr_binary64`
440×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	274
1	104	274
2	252	266
3	730	250
4	2689	248
5	4557	248
6	5009	248
7	5416	248
8	5900	248
9	6456	248
10	7186	248

Stop Event

1×	node limit

Counts

104 → 96

Calls

Call 1

Inputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))

Outputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(fma.f64 8/9 (pow.f64 x 5) (*.f64 -4/3 (pow.f64 x 4)))
(fma.f64 -4/3 (pow.f64 x 4) (*.f64 8/9 (pow.f64 x 5)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 8/9 (pow.f64 x 5) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 (.f64 x -16/27) 8/9)))
(fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (*.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 -16/27 (pow.f64 x 6) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -16/27 (pow.f64 x 6) (fma.f64 -4/3 (pow.f64 x 4) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (.f64 (pow.f64 x 5) (+.f64 (.f64 x -16/27) 8/9))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (+.f64 -9/2 (.f64 x 3))))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 x -9/2 (fma.f64 -2 (pow.f64 x 3) 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))
(fma.f64 x -9/2 (fma.f64 (*.f64 x x) (fma.f64 x -2 3) 27/4))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (+.f64 -9/2 (.f64 x 3))))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 x -9/2 (fma.f64 -2 (pow.f64 x 3) 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))
(fma.f64 x -9/2 (fma.f64 (*.f64 x x) (fma.f64 x -2 3) 27/4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)

eval162.0ms (2.3%)

Compiler: Compiled 5311 to 4131 computations (22.2% saved)

prune55.0ms (0.8%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	0	0	0
Picked	0	1	1
Done	3	9	12
Total	352	14	366

Error

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	62.6b	(-.f64 (*.f64 9/2 x) 27/4)
✓	17.3b	(.f64 x (.f64 x 3))
	61.0b	(*.f64 x 9/2)
✓	17.3b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	17.6b	(/.f64 (.f64 x (.f64 9 x)) (+.f64 3 (*.f64 x 2)))
	17.6b	(.f64 (/.f64 (.f64 9 x) 1) (/.f64 x (fma.f64 x 2 3)))
✓	0.1b	(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
✓	4.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	25.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	21.6b	(.f64 x (.f64 x (*.f64 x -2)))
✓	21.6b	(*.f64 -2 (pow.f64 x 3))
✓	25.2b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 141 to 100 computations (29.1% saved)

regimes26.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 x 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 9 x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
(.f64 (/.f64 (.f64 9 x) 1) (/.f64 x (fma.f64 x 2 3)))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
(.f64 x (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3)))

Outputs
(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))

Calls

2 calls:

12.0ms	x
7.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 226 to 148 computations (34.5% saved)

regimes20.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 x 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 9 x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Outputs
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))

Calls

2 calls:

8.0ms	x
8.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 152 to 95 computations (37.5% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 x 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x (*.f64 x -2)))

Outputs
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 x 3))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.5b	3	`x`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch17.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.033367572403988e-8	1.914553418566181
0.0ms	-1.5299086508993265	-1.478771870998037

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 x 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

Outputs
(.f64 x (.f64 x 3))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
17.3b	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)

Outputs
(*.f64 x 9/2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
61.0b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	33	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(if (<=.f64 x -3/2) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3072738198807875/151115727451828646838272) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)

Outputs
(.f64 x (fma.f64 x 3 (.f64 x (*.f64 x -2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(if (<=.f64 x -3/2) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3072738198807875/151115727451828646838272) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)

Compiler

Compiled 59 to 39 computations (33.9% saved)

soundness349.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Compiler

Compiled 83 to 59 computations (28.9% saved)

end140.0ms (2%)

Compiler: Compiled 55 to 35 computations (36.4% saved)