Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (34.2%)

Results

606.0ms	2071×	body	1024	valid
410.0ms	4437×	body	128	valid
235.0ms	999×	body	512	valid
85.0ms	221×	body	2048	valid
83.0ms	528×	body	256	valid

preprocess71.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

859×	`fma-neg_binary64`
764×	`fma-def_binary64`
321×	`div-sub_binary64`
169×	`associate-/l*_binary64`
149×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	34	19
4	60	19
5	100	19
6	205	19
7	377	19
8	951	19
9	2127	19
10	2751	19
11	3062	19
12	3879	19
13	4173	19
14	4215	19
15	4217	19
16	4219	19
17	4229	19
18	4229	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
764×	`fma-def_binary64`
321×	`div-sub_binary64`
169×	`associate-/l*_binary64`
149×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	22	19
3	34	19
4	60	19
5	100	19
6	205	19
7	377	19
8	951	19
9	2127	19
10	2751	19
11	3062	19
12	3879	19
13	4173	19
14	4215	19
15	4217	19
16	4219	19
17	4229	19
18	4229	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.4b	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	2.6b	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`fma-def_binary64`
281×	`fma-neg_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`
141×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	195	36
2	3263	36

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

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

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

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

416×	`fma-neg_binary64`
327×	`fma-def_binary64`
261×	`cancel-sign-sub-inv_binary64`
228×	`associate-l_binary64`
183×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	476
1	208	444
2	637	433
3	2015	430

Stop Event

1×	node limit

Counts

198 → 202

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (.f64 3 x) (+.f64 (.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))) (/.f64 3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))) (/.f64 3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (fma.f64 x x 1) (-.f64 x (.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))

eval76.0ms (1.8%)

Compiler: Compiled 3998 to 2923 computations (26.9% saved)

prune461.0ms (11%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	3	203

Error

Counts

203 → 3

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
▶	28.4b	(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)))
	30.3b	(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Status

Error

Program

33.2b

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

▶

28.4b

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

30.3b

(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Compiler

Compiled 120 to 88 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) x)
✓	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)))
✓	0.0b	(*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (+.f64 x 1) x))
✓	2.6b	(+.f64 (/.f64 (+.f64 x 1) x) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1))

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
131×	`add-sqr-sqrt_binary64`
129×	`*-un-lft-identity_binary64`
129×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	85
1	272	81
2	4482	81

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
285×	`distribute-neg-frac_binary64`
273×	`sub-neg_binary64`
213×	`fma-neg_binary64`
179×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	505
1	158	489
2	451	486
3	1254	485
4	3668	485

Stop Event

1×	node limit

Counts

237 → 221

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (/.f64 1 x)))
(+.f64 2 (fma.f64 -2 x (/.f64 1 x)))
(+.f64 2 (fma.f64 x -2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x -2 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (/.f64 1 x))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (/.f64 1 x))))
(+.f64 (fma.f64 x -2 (/.f64 1 x)) (*.f64 (fma.f64 x x 1) 2))
(fma.f64 (fma.f64 x x 1) 2 (fma.f64 x -2 (/.f64 1 x)))
(fma.f64 x -2 (fma.f64 2 (fma.f64 x x 1) (/.f64 1 x)))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 3 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))) (-.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 -2 (.f64 x x)) (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 3 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))) (-.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 -2 (.f64 x x)) (.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 x 3 (fma.f64 x x 1))
(fma.f64 x (+.f64 x 3) 1)
(+.f64 (.f64 3 x) (+.f64 (.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 x 3) 1))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (.f64 (/.f64 1 (.f64 x x)) (-.f64 -1 (/.f64 3 x))))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (.f64 (+.f64 (/.f64 3 x) 1) (/.f64 1 (.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (.f64 (/.f64 1 (.f64 x x)) (-.f64 -1 (/.f64 3 x))))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (.f64 (+.f64 (/.f64 3 x) 1) (/.f64 1 (.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

eval136.0ms (3.3%)

Compiler: Compiled 8323 to 5927 computations (28.8% saved)

prune469.0ms (11.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	253	1	254
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	254	3	257

Error

Counts

257 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

28.4b

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

33.2b

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

▶

30.3b

(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Compiler

Compiled 90 to 66 computations (26.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	inf	(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
1.0ms	x	@	-inf	(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
1.0ms	x	@	0	(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`fma-def_binary64`
266×	`fma-neg_binary64`
179×	`log1p-udef_binary64`
178×	`expm1-udef_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	244	27
2	3752	27

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

Inputs
(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (/.f64 1 (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 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simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

336×	`associate-+l+_binary64`
308×	`fma-def_binary64`
259×	`fma-neg_binary64`
247×	`associate-/r*_binary64`
210×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	530
1	253	405
2	792	380
3	2708	320

Stop Event

1×	node limit

Counts

160 → 180

Calls

Call 1

Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (+.f64 (.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(+.f64 1 (exp.f64 (neg.f64 (log.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (exp.f64 (neg.f64 (log.f64 -1))))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2))))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)))))))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))

Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (.f64 3 x) (+.f64 (.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(+.f64 1 (exp.f64 (neg.f64 (log.f64 -1))))
0
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (exp.f64 (neg.f64 (log.f64 -1))))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x) (exp.f64 (neg.f64 (log.f64 -1)))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 -2 x) 0) (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (/.f64 -1 x))
(/.f64 -3 x)
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2))))))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x) (+.f64 (+.f64 (/.f64 1 (.f64 x x)) (exp.f64 (neg.f64 (log.f64 -1)))) (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x))))) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 -2 x) (-.f64 (+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 1 (*.f64 x x)))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 -2 x) x))) (/.f64 -1 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)))))))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x) (+.f64 (+.f64 (/.f64 1 (.f64 x x)) (exp.f64 (neg.f64 (log.f64 -1)))) (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x))))))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 1 (+.f64 (/.f64 -2 x) (+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 1 (*.f64 x x)))))) (-.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 -2 x) x))) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 x))))
(/.f64 -3 x)
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x) (exp.f64 (neg.f64 (log.f64 -1)))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 -2 x) 0) (/.f64 -1 x))
(+.f64 (/.f64 -2 x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) x) (+.f64 (+.f64 (/.f64 1 (.f64 x x)) (exp.f64 (neg.f64 (log.f64 -1)))) (.f64 2 (/.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x))))) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 -2 x) (-.f64 (+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 1 (*.f64 x x)))) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 -2 x) x))) (/.f64 -1 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(fma.f64 -1 (log.f64 -1) (/.f64 2 x))
(-.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1)))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1))))
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))

eval77.0ms (1.8%)

Compiler: Compiled 4581 to 2626 computations (42.7% saved)

prune553.0ms (13.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	227	3	230

Error

Counts

230 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

28.4b

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

▶

33.2b

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

✓

30.3b

(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Compiler

Compiled 76 to 56 computations (26.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓	0.2b	(/.f64 (/.f64 1 x) x)
✓	0.6b	(/.f64 3 (pow.f64 x 3))
✓	6.4b	(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite73.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`
135×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	292	40
2	4317	40

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

562×	`times-frac_binary64`
461×	`associate-/r*_binary64`
431×	`associate-*l/_binary64`
412×	`fma-def_binary64`
366×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	441
1	66	405
2	162	405
3	436	405
4	1384	393

Stop Event

1×	node limit

Counts

210 → 187

Calls

Call 1

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

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

eval86.0ms (2.1%)

Compiler: Compiled 3961 to 3071 computations (22.5% saved)

prune240.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	187	3	190

Error

Counts

190 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

28.4b

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

✓

33.2b

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

✓

30.3b

(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes21.0ms (0.5%)

Accuracy

Total -63.4b remaining (-405853.3%)

Threshold costs -63.4b (-405853.3%)

Counts

6 → 2

Calls

Call 1

Inputs
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)) (.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)))
(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

Outputs
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Results

Time	Error	Segments	Branch
14.0ms	0.0b	3	`x`
4.0ms	0.0b	2	`(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))`

Compiler

Compiled 115 to 82 computations (28.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Point		Range
0.0ms	0.0	∈ [	0.0	,	0.5898794970556895	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
7×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	67
1	43	67
2	64	67
3	80	67
4	89	67
5	91	67

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 0) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

end31.0ms (0.8%)

Stop Event

1×

done

Compiler

Compiled 90 to 66 computations (26.7% saved)

Details

analyze7.0ms (0.2%)

sample1.4s (34.2%)

preprocess71.0ms (1.7%)

simplify61.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite64.0ms (1.5%)

simplify33.0ms (0.8%)

eval76.0ms (1.8%)

prune461.0ms (11%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite84.0ms (2%)

simplify39.0ms (0.9%)

eval136.0ms (3.3%)

prune469.0ms (11.2%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.4%)

simplify29.0ms (0.7%)

eval77.0ms (1.8%)

prune553.0ms (13.2%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite73.0ms (1.7%)

simplify29.0ms (0.7%)

eval86.0ms (2.1%)

prune240.0ms (5.7%)

regimes21.0ms (0.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end31.0ms (0.8%)

Profiling