Details

analyze17.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	23.7%	76.3%	0
0%	23.7%	76.3%	1
11.9%	11.9%	76.3%	2
17.8%	5.9%	76.3%	3
20.8%	3%	76.3%	4
22.2%	1.5%	76.3%	5
23%	0.7%	76.3%	6
23.3%	0.4%	76.3%	7
23.3%	0.4%	76.3%	8
23.4%	0.3%	76.3%	9
23.5%	0.2%	76.3%	10
23.5%	0.2%	76.3%	11
23.5%	0.2%	76.3%	12
23.6%	0.2%	76.3%	13
23.6%	0.1%	76.3%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample4.3s (93.4%)

Results

2.3s	4314×	body	1024	valid
898.0ms	464×	body	2048	valid
824.0ms	2192×	body	512	valid
271.0ms	1130×	body	256	valid
20.0ms	156×	body	128	valid

Compiler

Compiled 38 to 28 computations (26.3% saved)

preprocess45.0ms (1%)

Algorithm

2×	egg-herbie

Rules

898×	`fma-def_binary64`
818×	`fma-neg_binary64`
335×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
157×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	150	18
4	346	17
5	685	17
6	1184	17
7	2063	17
8	2730	17
9	3157	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
818×	`fma-neg_binary64`
335×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
157×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	62	18
3	150	18
4	346	17
5	685	17
6	1184	17
7	2063	17
8	2730	17
9	3157	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)
(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n)))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1))
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

prune4.0ms (0.1%)

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

44.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.4b	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))
✓	0.7b	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
✓	4.8b	(-.f64 (log.f64 n) (log1p.f64 n))

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	n	@	-inf	(-.f64 (log.f64 n) (log1p.f64 n))
1.0ms	n	@	inf	(-.f64 (log.f64 n) (log1p.f64 n))
1.0ms	n	@	-inf	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
1.0ms	n	@	inf	(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
1.0ms	n	@	0	(-.f64 (log.f64 n) (log1p.f64 n))

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`expm1-log1p-u_binary64`
914×	`log1p-expm1-u_binary64`
89×	`add-sqr-sqrt_binary64`
88×	`pow1_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	37
1	170	37
2	2379	37

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(-.f64 (log.f64 n) (log1p.f64 n))
(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))

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

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simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

364×	`fma-neg_binary64`
334×	`fma-def_binary64`
317×	`associate-/r*_binary64`
275×	`associate-l_binary64`
251×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	569
1	257	535
2	709	527
3	2127	526

Stop Event

1×	node limit

Counts

133 → 143

Calls

Call 1

Inputs
(log.f64 n)
(+.f64 (log.f64 n) (*.f64 -1 n))
(+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (.f64 -1 n)))
(+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (+.f64 (.f64 -1/3 (pow.f64 n 3)) (*.f64 -1 n))))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
1
(+.f64 1 (*.f64 n (log.f64 n)))
(+.f64 (.f64 -1 (pow.f64 n 2)) (+.f64 1 (.f64 n (log.f64 n))))
(+.f64 (.f64 -1 (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 n 3)) (*.f64 n (log.f64 n)))))
(/.f64 1/2 n)
(-.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))))
(/.f64 1/2 n)
(-.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))))
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (-.f64 1 (log.f64 n)))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (*.f64 -1/6 (pow.f64 n 3)))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))

Outputs
(log.f64 n)
(+.f64 (log.f64 n) (*.f64 -1 n))
(+.f64 (log.f64 n) (neg.f64 n))
(-.f64 (log.f64 n) n)
(+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (.f64 -1 n)))
(fma.f64 1/2 (*.f64 n n) (+.f64 (log.f64 n) (neg.f64 n)))
(-.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) n)
(-.f64 (fma.f64 n (*.f64 n 1/2) (log.f64 n)) n)
(+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (+.f64 (.f64 -1/3 (pow.f64 n 3)) (*.f64 -1 n))))
(fma.f64 1/2 (*.f64 n n) (+.f64 (log.f64 n) (fma.f64 -1/3 (pow.f64 n 3) (neg.f64 n))))
(+.f64 (fma.f64 -1/3 (pow.f64 n 3) (neg.f64 n)) (fma.f64 1/2 (*.f64 n n) (log.f64 n)))
(-.f64 (fma.f64 n (*.f64 n 1/2) (fma.f64 -1/3 (pow.f64 n 3) (log.f64 n))) n)
(fma.f64 -1/3 (pow.f64 n 3) (-.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) n))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 (pow.f64 n 3))) (/.f64 -1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 (pow.f64 n 3)))) (/.f64 -1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))))
(/.f64 -1 n)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 (pow.f64 n 3))) (/.f64 -1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 4))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 (pow.f64 n 3)))) (/.f64 -1 n))
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1 n)) (/.f64 1/3 (pow.f64 n 3))))
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))))
1
(+.f64 1 (*.f64 n (log.f64 n)))
(fma.f64 n (log.f64 n) 1)
(+.f64 (.f64 -1 (pow.f64 n 2)) (+.f64 1 (.f64 n (log.f64 n))))
(fma.f64 -1 (.f64 n n) (+.f64 1 (.f64 n (log.f64 n))))
(-.f64 (fma.f64 n (log.f64 n) 1) (*.f64 n n))
(+.f64 1 (*.f64 n (-.f64 (log.f64 n) n)))
(+.f64 (.f64 -1 (pow.f64 n 2)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 n 3)) (*.f64 n (log.f64 n)))))
(fma.f64 -1 (.f64 n n) (+.f64 1 (fma.f64 1/2 (pow.f64 n 3) (.f64 n (log.f64 n)))))
(+.f64 (-.f64 (fma.f64 n (log.f64 n) 1) (.f64 n n)) (.f64 1/2 (pow.f64 n 3)))
(+.f64 (fma.f64 1/2 (pow.f64 n 3) 1) (*.f64 n (-.f64 (log.f64 n) n)))
(+.f64 1 (.f64 n (-.f64 (fma.f64 1/2 (.f64 n n) (log.f64 n)) n)))
(/.f64 1/2 n)
(-.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))))
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4)))))
(+.f64 (/.f64 1/2 n) (-.f64 (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/5 (pow.f64 n 4))) (/.f64 1/3 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4)))))
(/.f64 1/2 n)
(-.f64 (.f64 1/2 (/.f64 1 n)) (.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 n))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 n 2))) (.f64 1/5 (/.f64 1 (pow.f64 n 4)))))
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4)))))
(+.f64 (/.f64 1/2 n) (-.f64 (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/5 (pow.f64 n 4))) (/.f64 1/3 (*.f64 n n))))
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/5 (pow.f64 n 4)))))
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(fma.f64 n (-.f64 1 (log.f64 n)) -1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (.f64 n (-.f64 1 (log.f64 n)))) 1)
(+.f64 (.f64 1/2 (.f64 n n)) (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 1/2 (*.f64 n n) (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 n (*.f64 n 1/2) -1))
(fma.f64 n (+.f64 (*.f64 n 1/2) (-.f64 1 (log.f64 n))) -1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 1 (log.f64 n))) (*.f64 -1/6 (pow.f64 n 3)))) 1)
(+.f64 (fma.f64 1/2 (.f64 n n) (fma.f64 n (-.f64 1 (log.f64 n)) (.f64 (pow.f64 n 3) -1/6))) -1)
(+.f64 -1 (fma.f64 1/2 (.f64 n n) (fma.f64 n (-.f64 1 (log.f64 n)) (.f64 (pow.f64 n 3) -1/6))))
(fma.f64 n (*.f64 n 1/2) (fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 (pow.f64 n 3) -1/6 -1)))
(+.f64 -1 (.f64 n (+.f64 (.f64 n (+.f64 1/2 (*.f64 n -1/6))) (-.f64 1 (log.f64 n)))))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(log.f64 n)
(+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 n))) (.f64 1/12 (/.f64 1 (pow.f64 n 3))))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n))) (/.f64 1/2 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(log.f64 n)
(+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n))))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 n)) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) (.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n)))))
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n))) (/.f64 1/2 n)))

prune58.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	1	144

Error

Counts

144 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 (log1p.f64 n) (/.f64 1/2 n))

Compiler

Compiled 2698 to 1288 computations (52.3% saved)

localize4.0ms (0.1%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(-.f64 (log1p.f64 n) (/.f64 1/2 n))

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 74 to 48 computations (35.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	16	9
3	18	9
4	19	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 n) (/.f64 1/2 n))

Outputs
(-.f64 (log1p.f64 n) (/.f64 1/2 n))
(+.f64 (log1p.f64 n) (/.f64 -1/2 n))

end33.0ms (0.7%)

Stop Event

1×

done

Compiler

Compiled 21 to 15 computations (28.6% saved)

Details

analyze17.0ms (0.4%)

sample4.3s (93.4%)

preprocess45.0ms (1%)

simplify30.0ms (0.6%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite55.0ms (1.2%)

simplify33.0ms (0.7%)

prune58.0ms (1.3%)

localize4.0ms (0.1%)

prune1.0ms (0%)

regimes11.0ms (0.2%)

simplify2.0ms (0%)

end33.0ms (0.7%)

Profiling