Details

analyze3.0ms (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)

sample733.0ms (10.8%)

Results

721.0ms	8256×	body	256	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess129.0ms (1.9%)

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)

simplify123.0ms (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 x (.f64 x (fma.f64 x -2 3)))
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

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))
✓	0.2b	(.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))

rewrite56.0ms (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))))))))

simplify182.0ms (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

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)

series2.0ms (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)))

rewrite126.0ms (1.9%)

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)))))))))

simplify173.0ms (2.6%)

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))

eval16.0ms (0.2%)

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

prune18.0ms (0.3%)

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

Counts

62 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.9b	(.f64 x (.f64 x (*.f64 x -2)))
▶	3.8b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	5.7b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
	12.9b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3)))
	15.5b	(.f64 x (.f64 3 x))
	22.9b	(*.f64 -2 (pow.f64 x 3))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	21.6b	(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))
▶	15.5b	(.f64 3 (.f64 x x))
▶	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 248 to 173 computations (30.2% saved)

localize13.0ms (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))
✓	0.2b	(.f64 (.f64 x x) 3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite118.0ms (1.7%)

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)))))))

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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)))))))

simplify191.0ms (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	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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.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
0.0ms	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))

rewrite44.0ms (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))))))))

simplify177.0ms (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

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)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 x (.f64 x (*.f64 x -2)))
0.0ms	x	@	0	(.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)))))))

simplify169.0ms (2.5%)

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))

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.3b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	3.4b	(/.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)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 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)))
0.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) 4)

rewrite83.0ms (1.2%)

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	48
1	294	36
2	3991	34

Stop Event

1×	node limit

Counts

3 → 96

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 (.f64 x x) 4)

Outputs

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

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

((#(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))))))

simplify184.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	378
1	41	378
2	91	369
3	248	351
4	855	351
5	1543	351
6	2999	351
7	3118	351
8	3291	351
9	3506	351
10	3789	351
11	4165	351
12	4612	351
13	5163	351
14	5855	351
15	6314	351
16	6625	351
17	6893	351
18	7105	351
19	7295	351

Stop Event

1×	node limit

Counts

132 → 108

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

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.0b	(*.f64 8 (pow.f64 x 3))
✓	0.2b	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
✓	5.2b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series30.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
2.0ms	x	@	inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	inf	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))

rewrite133.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`fma-def_binary64`
318×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	414	64
2	5499	54

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))) (/.f64 (.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -8 27) (.f64 (.f64 x x) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (pow.f64 x 3) -8 27) (neg.f64 (.f64 x x))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) (.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) 1) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) 1) (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) 1) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) 1) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-lft-in_binary64`
697×	`unswap-sqr_binary64`
678×	`associate-r_binary64`
586×	`distribute-rgt-in_binary64`
408×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	411
1	50	411
2	105	393
3	262	357
4	699	357
5	2082	357
6	4292	357
7	4902	357
8	6925	357
9	7271	357
10	7741	357

Stop Event

1×	node limit

Counts

183 → 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 27 (pow.f64 x 2))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.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 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))

eval350.0ms (5.2%)

Compiler: Compiled 8969 to 6245 computations (30.4% saved)

prune58.0ms (0.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	449	5	454
Fresh	4	1	5
Picked	1	0	1
Done	1	4	5
Total	455	10	465

Error

Counts

465 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.9b	(.f64 x (.f64 x (*.f64 x -2)))
▶	22.9b	(*.f64 -2 (pow.f64 x 3))
	0.7b	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
▶	15.3b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
▶	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
▶	15.5b	(.f64 x (.f64 3 x))
✓	3.8b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	26.4b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
✓	15.5b	(.f64 3 (.f64 x x))

Compiler

Compiled 166 to 122 computations (26.5% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (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))

rewrite81.0ms (1.2%)

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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(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))))))

simplify181.0ms (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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1132	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(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 (+.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 (sqrt.f64 (*.f64 x (*.f64 x 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))))))))

simplify177.0ms (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

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))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
423×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
269×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	21
2	2888	21

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81) 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 (cbrt.f64 (*.f64 x (*.f64 x 9))) 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) (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))))))) (#(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 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9))) 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 (cbrt.f64 (*.f64 x (*.f64 x 9)))) 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 (log.f64 (*.f64 x (*.f64 x 9))) 1) 1))))))

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

931×	`fma-def_binary64`
514×	`associate-/l/_binary64`
439×	`times-frac_binary64`
428×	`fma-neg_binary64`
412×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	102	234
2	238	232
3	644	225
4	1883	219
5	4527	219

Stop Event

1×	node limit

Counts

111 → 105

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 (.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)))))
(*.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))

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

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)

series3.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite48.0ms (0.7%)

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))))))))

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

11 → 11

Calls

Call 1

Inputs

Outputs

localize69.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 4)
✓	3.3b	(/.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 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
1.0ms	x	@	-inf	(pow.f64 x 4)
1.0ms	x	@	inf	(pow.f64 x 4)
0.0ms	x	@	0	(pow.f64 x 4)
0.0ms	x	@	inf	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))

rewrite85.0ms (1.3%)

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	20
1	242	18
2	3005	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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))

eval272.0ms (4%)

Compiler: Compiled 5824 to 4274 computations (26.6% saved)

prune55.0ms (0.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	384	3	387
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	385	12	397

Error

Counts

397 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.9b	(.f64 x (.f64 x (*.f64 x -2)))
✓	22.9b	(*.f64 -2 (pow.f64 x 3))
✓	15.5b	(.f64 3 (.f64 x x))
▶	26.5b	(/.f64 (.f64 -4 (.f64 (.f64 x x) (.f64 x x))) (+.f64 3 (*.f64 x 2)))
▶	0.7b	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
✓	15.3b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	15.5b	(.f64 x (.f64 3 x))
▶	62.5b	(-.f64 (*.f64 9/2 x) 27/4)
▶	61.1b	(*.f64 x 9/2)
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	26.4b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 112 to 81 computations (27.7% saved)

localize10.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 9/2 x) 27/4)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	inf	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	-inf	(-.f64 (*.f64 9/2 x) 27/4)

rewrite93.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
612×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	135	5
2	1602	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -27/4 (*.f64 9/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/2 x -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2) (cbrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) (sqrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))) (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/2 x 27/4) (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (-.f64 729/16 (*.f64 (*.f64 9/2 x) -27/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (fma.f64 9/2 x 27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (-.f64 (*.f64 9/2 x) -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)) (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)) (neg.f64 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/2 x -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9/2 -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 9/2 x)) 2) (cbrt.f64 (*.f64 9/2 x)) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9/2 x)) (sqrt.f64 (*.f64 9/2 x)) -27/4)))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

35 → 34

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (*.f64 x x))
✓	3.3b	(/.f64 (.f64 -4 (.f64 (.f64 x x) (.f64 x x))) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
321×	`pow-prod-down_binary64`
289×	`pow2_binary64`
227×	`pow-unpow_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	243	18
2	3206	18

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

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 (exp.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -4 (/.f64 (pow.f64 x 4) (fma.f64 x 2 3)))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 (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 -4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(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 (*.f64 -4 (*.f64 x x)) 1) (/.f64 (*.f64 x x) (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 (*.f64 -4 (*.f64 x x)) (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 -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 (*.f64 x x)) (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 -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 (*.f64 x x) 4))) (+.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 (/.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 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 (exp.f64 (*.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 +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 3))))))

simplify132.0ms (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	238
1	101	238
2	245	230
3	707	214
4	2518	212
5	4366	212
6	4818	212
7	5225	212
8	5709	212
9	6265	212
10	6999	212
11	7883	212

Stop Event

1×	node limit

Counts

110 → 100

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)))))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 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 -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))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))
✓	0.2b	(.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))
✓	0.7b	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)

Compiler

Compiled 50 to 33 computations (34% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
1.0ms	x	@	0	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
1.0ms	x	@	inf	(/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
364×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
272×	`pow2_binary64`
187×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	254	36
2	3058	33

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-/l*_binary64`
511×	`associate-/r*_binary64`
492×	`unswap-sqr_binary64`
480×	`distribute-neg-frac_binary64`
348×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	526
1	136	514
2	364	496
3	1104	460
4	4089	460
5	7625	460

Stop Event

1×	node limit

Counts

201 → 142

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 (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 1/3 (pow.f64 x 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (.f64 2/9 (/.f64 1 x)))
(+.f64 4/27 (+.f64 (.f64 2/9 (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 4/27 (+.f64 (.f64 2/9 (/.f64 1 x)) (+.f64 (.f64 8/81 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1/2 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (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 (*.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 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 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 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 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 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 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 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 x (.f64 x (fma.f64 x -2 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 (*.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 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 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 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 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 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 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 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 x (.f64 x (fma.f64 x -2 3)))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (.f64 2/9 (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 2/9 x))
(+.f64 4/27 (+.f64 (.f64 2/9 (/.f64 1 x)) (.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 4/27 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 2/9 x)))
(+.f64 (/.f64 2/9 x) (+.f64 (/.f64 1/3 (*.f64 x x)) 4/27))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 2/9 x) 4/27))
(+.f64 4/27 (+.f64 (.f64 2/9 (/.f64 1 x)) (+.f64 (.f64 8/81 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 4/27 (+.f64 (/.f64 2/9 x) (fma.f64 8/81 x (/.f64 1/3 (*.f64 x x)))))
(+.f64 (fma.f64 x 8/81 (/.f64 1/3 (*.f64 x x))) (+.f64 (/.f64 2/9 x) 4/27))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 4/27 (fma.f64 x 8/81 (/.f64 2/9 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 2/9 x) (fma.f64 x 8/81 4/27)))
(/.f64 -1/2 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))))
(-.f64 (/.f64 -3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3))) (/.f64 -9/8 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))) (/.f64 27/16 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))) (/.f64 -27/16 (pow.f64 x 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3))) (/.f64 -9/8 (pow.f64 x 5))) (/.f64 -27/16 (pow.f64 x 6)))
(+.f64 (/.f64 -9/8 (pow.f64 x 5)) (-.f64 (/.f64 -27/16 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x 3)))))
(/.f64 -1/2 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))))
(-.f64 (/.f64 -3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3))) (/.f64 -9/8 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))) (/.f64 27/16 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -3/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 9/8 (pow.f64 x 5)))) (/.f64 -27/16 (pow.f64 x 6)))
(+.f64 (+.f64 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 3))) (/.f64 -9/8 (pow.f64 x 5))) (/.f64 -27/16 (pow.f64 x 6)))
(+.f64 (/.f64 -9/8 (pow.f64 x 5)) (-.f64 (/.f64 -27/16 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (pow.f64 x 3)))))

eval146.0ms (2.2%)

Compiler: Compiled 3895 to 3042 computations (21.9% saved)

prune542.0ms (8%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	0	0
Picked	1	0	1
Done	1	10	11
Total	276	12	288

Error

Counts

288 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.9b	(.f64 x (.f64 x (*.f64 x -2)))
✓	22.9b	(*.f64 -2 (pow.f64 x 3))
	16.0b	(pow.f64 (/.f64 1/3 (*.f64 x x)) -1)
✓	61.1b	(*.f64 x 9/2)
✓	15.5b	(.f64 3 (.f64 x x))
✓	26.5b	(/.f64 (.f64 -4 (.f64 (.f64 x x) (.f64 x x))) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	15.5b	(.f64 x (.f64 3 x))
	62.2b	-27/4
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	26.4b	(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
✓	15.3b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 102 to 73 computations (28.4% saved)

regimes29.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 9)) (+.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 -4 (.f64 (.f64 x x) (.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 -2 (pow.f64 x 3))
(pow.f64 (/.f64 1/3 (*.f64 x x)) -1)
(.f64 x (.f64 x (fma.f64 x -2 3)))
(/.f64 (.f64 -4 (pow.f64 x 4)) (+.f64 3 (.f64 x 2)))
(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(.f64 x (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -2 3)) 3)))
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))

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

Calls

2 calls:

15.0ms	x
8.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 215 to 141 computations (34.4% saved)

regimes32.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.2156501393155553e-5	2072658.7910475214
16.0ms	-223824.79646513084	-8.627888904731477e-8

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes282.0ms (4.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

281.0ms

Results

Error	Segments	Branch
15.5b	1	`x`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
15.5b	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x 9/2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.1b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	71
1	39	71
2	49	71
3	57	71
4	73	71
5	81	71
6	84	71
7	85	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(if (<=.f64 x -7690561446812747/34359738368) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3269722486146637/147573952589676412928) (.f64 3 (.f64 x x)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x 9/2)
-27/4

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(if (<=.f64 x -7690561446812747/34359738368) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3269722486146637/147573952589676412928) (.f64 3 (.f64 x x)) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -7690561446812747/34359738368) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3269722486146637/147573952589676412928) (.f64 (.f64 x x) 3) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 3 x))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)
-27/4

Compiler

Compiled 56 to 38 computations (32.1% saved)

soundness0.0ms (0%)

end405.0ms (6%)

Compiler: Compiled 51 to 31 computations (39.2% saved)