Metrics for logs (example 3.8)

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
0%	0%	23.7%	76.3%	0%	0%	0%	1
50%	11.9%	11.9%	76.3%	0%	0%	0%	2
75%	17.8%	5.9%	76.3%	0%	0%	0%	3
87.5%	20.8%	3%	76.3%	0%	0%	0%	4
93.8%	22.2%	1.5%	76.3%	0%	0%	0%	5
96.9%	23%	0.7%	76.3%	0%	0%	0%	6
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	7
99.2%	23.5%	0.2%	76.3%	0%	0%	0%	8
99.6%	23.6%	0.1%	76.3%	0%	0%	0%	9
99.8%	23.7%	0%	76.3%	0%	0%	0%	10
99.9%	23.7%	0%	76.3%	0%	0%	0%	11
100%	23.7%	0%	76.3%	0%	0%	0%	12

Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log: 1.0ms (73.7% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival->: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample2.4s (41.6%)

Results

2.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 837.0ms (48.6% of total)

ival-mult: 322.0ms (18.7% of total)

ival-sub: 188.0ms (10.9% of total)

backward-pass: 184.0ms (10.7% of total)

ival-add: 129.0ms (7.5% of total)

ival->: 46.0ms (2.7% of total)

const: 17.0ms (1% of total)

Bogosity

preprocess220.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

3082×	`sum4-define`
2644×	`sum3-define`
2256×	`sum4-define`
1794×	`fnmadd-define`
1678×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	54	38
2	166	38
3	620	37
4	2573	37
5	6356	37
6	7160	37
7	7362	37
8	7378	37
9	7378	37
0	9	14
1	26	11
2	67	11
3	195	11
4	447	11
5	1228	11
6	3105	11
7	5737	11
0	8022	11

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)

Outputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
(-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))

Call 2

Inputs

(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)

(- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1)

(neg (- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1))

Outputs
(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)
(fnmadd n (log n) (fmsub (+ n 1) (log1p n) 1))
(- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1)
(fnmsub (log1p (neg n)) (+ n -1) (fnmsub n (log (neg n)) -1))
(neg (- (- (* (+ (neg n) 1) (log (+ (neg n) 1))) (* (neg n) (log (neg n)))) 1))
(fnmsub n (log (neg n)) (fnmsub (log1p (neg n)) (+ n -1) 1))

explain206.0ms (3.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`
0	-	-	`(log.f64 (+.f64 n #s(literal 1 binary64)))`
0	-	-	`(*.f64 n (log.f64 n))`
0	-	-	`(log.f64 n)`
0	-	-	`(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))`
0	-	-	`(+.f64 n #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`
0	-	-	`n`

Results

146.0ms

512×

valid

Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 60.0ms (57.2% of total)

ival-mult: 16.0ms (15.3% of total)

backward-pass: 11.0ms (10.5% of total)

ival-sub: 10.0ms (9.5% of total)

ival-add: 7.0ms (6.7% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.5%	(-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 n)
✓	cost-diff	(*.f64 n (log.f64 n))
✓	cost-diff	(+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
✓	cost-diff	(-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))

Rules

3146×	`sum4-define`
1918×	`fnmadd-define`
1898×	`sum3-define`
1702×	`fnmsub-define`
1512×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	25	41
2	59	41
3	176	40
4	562	40
5	2033	39
6	5977	39
7	7792	39
0	8084	39

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
-1
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(* n (log n))
n
(log n)
(* (log (+ 1 n)) (- -1 n))
(log (+ 1 n))
(- -1 n)

Outputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
(-.f64 (-.f64 #s(literal -1 binary64) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (.f64 n (log.f64 n)))
-1
#s(literal -1 binary64)
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(* n (log n))
(*.f64 n (log.f64 n))
n
(log n)
(log.f64 n)
(* (log (+ 1 n)) (- -1 n))
(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
(log (+ 1 n))
(log1p.f64 n)
(- -1 n)
(-.f64 #s(literal -1 binary64) n)

localize494.0ms (8.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
✓	accuracy	100.0%	(*.f64 n (log.f64 n))
✓	accuracy	100.0%	(log1p.f64 n)
✓	accuracy	100.0%	(log.f64 n)

Results

459.0ms

256×

exit

Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-log: 305.0ms (71.8% of total)

backward-pass: 40.0ms (9.4% of total)

ival-mult: 25.0ms (5.9% of total)

compiled-spec: 24.0ms (5.7% of total)

ival-sub: 17.0ms (4% of total)

ival-add: 11.0ms (2.6% of total)

const: 2.0ms (0.5% of total)

series87.0ms (1.5%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))>
#<alt (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))>
#<alt (* n (log n))>
#<alt (log n)>
#<alt (log (+ 1 n))>
#<alt (* (log (+ 1 n)) (- -1 n))>

Outputs
#<alt -1>
#<alt (- (* n (- 1 (log n))) 1)>
#<alt (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)>
#<alt (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)>
#<alt (* -1 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))>
#<alt (* n (- (* -1 (/ (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))) n)) (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))>
#<alt (* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (/ 1 n))))))>
#<alt (* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (+ (/ 1 n) (* 1/6 (/ 1 (pow n 3)))))))))>
#<alt (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (* n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* -1 (* n (- (* -1 (/ (- (* 1/2 (/ 1 n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))>
#<alt (* n (- (log n) 1))>
#<alt (* n (- (+ (log n) (* -1/2 n)) 1))>
#<alt (* n (- (+ (log n) (* n (- (* 1/6 n) 1/2))) 1))>
#<alt (* n (- (+ (log n) (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2))) 1))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n)))))>
#<alt (* n (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))) (/ 1/2 (pow n 2))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3)))))) (/ 1/2 (pow n 2))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n)))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n)))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n)))))))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt n>
#<alt (* n (+ 1 (* -1/2 n)))>
#<alt (* n (+ 1 (* n (- (* 1/3 n) 1/2))))>
#<alt (* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (* -1 (log (/ 1 n))) (/ 1 n))>
#<alt (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))>
#<alt (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))>
#<alt (* -1 n)>
#<alt (* n (- (* -1/2 n) 1))>
#<alt (* n (- (* n (- (* 1/6 n) 1/2)) 1))>
#<alt (* n (- (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2)) 1))>
#<alt (* n (log (/ 1 n)))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))))>
#<alt (* n (- (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))) (/ 1/2 (pow n 2))))>
#<alt (* n (- (+ (log (/ 1 n)) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))>
#<alt (* -1 (* n (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n))))))>
#<alt (* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n))))))>

Calls

18 calls:

Time	Variable		Point	Expression
64.0ms	n	@	0	(* n (log n))
12.0ms	n	@	-inf	(* n (log n))
7.0ms	n	@	inf	(* n (log n))
1.0ms	n	@	-inf	(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
1.0ms	n	@	inf	(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))

rewrite254.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4388×	`-lowering-.f32`
4388×	`-lowering-.f64`
3260×	`/-lowering-/.f32`
3260×	`/-lowering-/.f64`
2186×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	69	36
2	647	36
0	8742	36

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 185

Calls

Call 1

Inputs
(- -1 (+ (* n (log n)) (* (log (+ 1 n)) (- -1 n))))
(+ (* n (log n)) (* (log (+ 1 n)) (- -1 n)))
(* n (log n))
(log n)
(log (+ 1 n))
(* (log (+ 1 n)) (- -1 n))

Outputs
(+.f64 #s(literal -1 binary64) (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (.f64 n (log.f64 n))))
(+.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (.f64 n (log.f64 n))) #s(literal -1 binary64))
(+.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(+.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (+.f64 (.f64 n (-.f64 #s(literal 0 binary64) (log.f64 n))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))))))
(+.f64 (.f64 n (-.f64 #s(literal 0 binary64) (log.f64 n))) (+.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) (.f64 n (-.f64 #s(literal 0 binary64) (log.f64 n))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64))) (.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))) (.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log.f64 n)) (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))) (/.f64 (pow.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log.f64 n)) (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))))
(-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(-.f64 #s(literal -1 binary64) (-.f64 (.f64 n (log.f64 n)) (.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)))))))
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(/.f64 (neg.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal -1 binary64) n)))))
(/.f64 (neg.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (.f64 n n)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))) (log1p.f64 n))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal -1 binary64) n)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 n n)) (log1p.f64 n))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (log1p.f64 n) n)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) (.f64 (log1p.f64 n) #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (.f64 (log1p.f64 n) n)) (neg.f64 (.f64 (log1p.f64 n) n))) (.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) (neg.f64 (*.f64 (log1p.f64 n) n))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 n (log1p.f64 n))) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (log1p.f64 n))) (-.f64 (.f64 (neg.f64 (.f64 n (log1p.f64 n))) (neg.f64 (.f64 n (log1p.f64 n)))) (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (neg.f64 (*.f64 n (log1p.f64 n)))))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) (.f64 (log1p.f64 n) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 (log1p.f64 n) n)) (neg.f64 (.f64 (log1p.f64 n) n)))) (-.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) (neg.f64 (.f64 (log1p.f64 n) n))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (log1p.f64 n))) (.f64 (neg.f64 (.f64 n (log1p.f64 n))) (neg.f64 (.f64 n (log1p.f64 n))))) (-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (neg.f64 (*.f64 n (log1p.f64 n)))))
(*.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))
(*.f64 (-.f64 #s(literal -1 binary64) n) (log1p.f64 n))
(.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal -1 binary64) n)))))
(.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) n)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))) (log1p.f64 n)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal -1 binary64) n)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) n)))

simplify187.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3346×	`+-lowering-+.f64`
3346×	`+-lowering-+.f32`
2124×	`-lowering-.f32`
2124×	`-lowering-.f64`
1508×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	942
1	762	752
2	2909	640
0	8478	640

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* n (- 1 (log n))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))))
(- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 n #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (log.f64 n)))))
(* -1 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
#s(literal 0 binary64)
(* n (- (* -1 (/ (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))) n)) (+ (log (/ 1 n)) (* -1 (log (/ 1 n))))))
(*.f64 n (/.f64 (log.f64 n) n))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (/ 1 n))))))
(.f64 n (+.f64 (/.f64 (log.f64 n) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(* n (- (/ 1/2 (pow n 2)) (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (+ (/ 1 n) (* 1/6 (/ 1 (pow n 3)))))))))
(.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 n)) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))))))
(* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(literal 0 binary64)
(* -1 (* n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
(* -1 (* n (- (* -1 (/ (- (* 1/2 (/ 1 n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n))) n) #s(literal 0 binary64)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) n)) (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))))
(*.f64 n (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) n)) n))
(* n (- (log n) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (log.f64 n)))
(* n (- (+ (log n) (* -1/2 n)) 1))
(.f64 n (+.f64 #s(literal -1 binary64) (+.f64 (log.f64 n) (.f64 n #s(literal -1/2 binary64)))))
(* n (- (+ (log n) (* n (- (* 1/6 n) 1/2))) 1))
(.f64 n (+.f64 (.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (log.f64 n))))
(* n (- (+ (log n) (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2))) 1))
(.f64 n (+.f64 (.f64 n (+.f64 #s(literal -1/2 binary64) (.f64 n (+.f64 #s(literal 1/6 binary64) (.f64 n #s(literal -1/12 binary64)))))) (+.f64 #s(literal -1 binary64) (log.f64 n))))
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 n)))))
#s(literal 0 binary64)
(* n (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)))) (/ 1/2 (pow n 2))))
(.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3)))))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))))
#s(literal 0 binary64)
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n)))))))
(*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))) n))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n)))))))
(*.f64 n (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n)))))))
(-.f64 #s(literal 0 binary64) (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) n))) n)))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
n
(* n (+ 1 (* -1/2 n)))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n #s(literal -1/2 binary64))))
(* n (+ 1 (* n (- (* 1/3 n) 1/2))))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/3 binary64))))))
(* n (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal -1/2 binary64) (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 n #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 n))
(- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2)))
(+.f64 (log.f64 n) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/2 (/ 1 n)) 1) n))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)) n))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (* -1/2 n) 1))
(.f64 n (+.f64 #s(literal -1 binary64) (.f64 n #s(literal -1/2 binary64))))
(* n (- (* n (- (* 1/6 n) 1/2)) 1))
(.f64 n (+.f64 #s(literal -1 binary64) (.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/6 binary64))))))
(* n (- (* n (- (* n (+ 1/6 (* -1/12 n))) 1/2)) 1))
(.f64 n (+.f64 #s(literal -1 binary64) (.f64 n (+.f64 #s(literal -1/2 binary64) (.f64 n (+.f64 #s(literal 1/6 binary64) (.f64 n #s(literal -1/12 binary64))))))))
(* n (log (/ 1 n)))
(-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n)))
(* n (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))))
(*.f64 n (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)))
(* n (- (+ (log (/ 1 n)) (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n))) (/ 1/2 (pow n 2))))
(.f64 n (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(* n (- (+ (log (/ 1 n)) (+ (* -1 (/ (+ 1 (* -1 (log (/ 1 n)))) n)) (* 1/6 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))
(*.f64 n (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 n)) n) (log.f64 n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n) n)))
(* -1 (* n (+ (log -1) (* -1 (log (/ -1 n))))))
(*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) 1) n))))))
(*.f64 n (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (+ 1 (* 1/2 (/ 1 n)))) n))))))
(*.f64 n (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
(* -1 (* n (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) 1) n))))))
(*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n))) n)))

eval56.0ms (1%)

Compiler: Compiled 7863 to 936 computations (88.1% saved)

prune35.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	3	258

Accuracy

100.0%

Counts

258 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
▶	99.9%	(*.f64 n (/.f64 (log.f64 n) n))
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 20 to 13 computations (35% saved)

simplify149.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (log.f64 n))
✓	cost-diff	0	(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
✓	cost-diff	256	(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
✓	cost-diff	512	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
✓	cost-diff	0	(log.f64 n)
✓	cost-diff	0	(/.f64 (log.f64 n) n)
✓	cost-diff	256	(*.f64 n (/.f64 (log.f64 n) n))

Rules

1764×	`sum4-define`
1342×	`fnmsub-define`
1330×	`fmsub-define`
1208×	`fmm-def`
988×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	54
1	20	54
2	47	42
3	109	30
4	280	29
5	1203	29
6	3543	29
7	7512	29
0	8240	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
0
(* n (/ (log n) n))
n
(/ (log n) n)
(log n)
(- -1 (/ (* n (- -1 (log n))) n))
-1
(/ (* n (- -1 (log n))) n)
(* n (- -1 (log n)))
n
(- -1 (log n))
(log n)

Outputs
0
#s(literal 0 binary64)
(* n (/ (log n) n))
(log.f64 n)
n
(/ (log n) n)
(/.f64 (log.f64 n) n)
(log n)
(log.f64 n)
(- -1 (/ (* n (- -1 (log n))) n))
(log.f64 n)
-1
#s(literal -1 binary64)
(/ (* n (- -1 (log n))) n)
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* n (- -1 (log n)))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
n
(- -1 (log n))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(log n)
(log.f64 n)

localize42.0ms (0.7%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 n)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
✓	accuracy	99.7%	(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
✓	accuracy	97.8%	(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n)
✓	accuracy	100.0%	(log.f64 n)
✓	accuracy	99.7%	(*.f64 n (/.f64 (log.f64 n) n))
✓	accuracy	99.6%	(/.f64 (log.f64 n) n)

Results

27.0ms

256×

valid

Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (27.9% of total)

ival-log: 4.0ms (27.9% of total)

ival-mult: 4.0ms (27.9% of total)

ival-sub: 3.0ms (20.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* n (/ (log n) n))>
#<alt (/ (log n) n)>
#<alt (log n)>
#<alt (- -1 (/ (* n (- -1 (log n))) n))>
#<alt (/ (* n (- -1 (log n))) n)>
#<alt (* n (- -1 (log n)))>
#<alt (- -1 (log n))>

Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (/ (log n) n)>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (* -1 (/ (log (/ 1 n)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 n)))) n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (log n)))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (log n))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (log n)))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (* -1 (log (/ 1 n)))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>
#<alt (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))>

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	n	@	-inf	(/ (log n) n)
3.0ms	n	@	inf	(/ (log n) n)
0.0ms	n	@	0	(* n (- -1 (log n)))
0.0ms	n	@	-inf	(- -1 (/ (* n (- -1 (log n))) n))
0.0ms	n	@	inf	(* n (- -1 (log n)))

rewrite188.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2814×	`-lowering-.f32`
2814×	`-lowering-.f64`
2642×	`/-lowering-/.f32`
2642×	`/-lowering-/.f64`
1814×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	48
1	54	48
2	447	28
0	8053	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 408

Calls

Call 1

Inputs
(* n (/ (log n) n))
(/ (log n) n)
(log n)
(- -1 (/ (* n (- -1 (log n))) n))
(/ (* n (- -1 (log n))) n)
(* n (- -1 (log n)))
(- -1 (log n))

Outputs
(log.f64 n)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (*.f64 (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n) n))
(neg.f64 (*.f64 n (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n)))
(neg.f64 (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) n))
(/.f64 n (/.f64 n (log.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))))
(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64)))
(/.f64 (*.f64 n (log.f64 n)) n)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n)))) n)
(/.f64 (.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) #s(literal -1 binary64)) n)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(*.f64 n (/.f64 (log.f64 n) n))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 n) n) n)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 n (-.f64 #s(literal 0 binary64) n)))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal -1 binary64) n) n))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(.f64 (/.f64 #s(literal 1 binary64) n) (.f64 n (log.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n (/.f64 #s(literal 1 binary64) (log.f64 n))))
(.f64 (.f64 n (log.f64 n)) (/.f64 #s(literal 1 binary64) n))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 n (log.f64 n))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 n (-.f64 #s(literal 0 binary64) n)) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(neg.f64 (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 n))))
(/.f64 (log.f64 n) n)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 n))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 n)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 n)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) n)
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n (log.f64 n)) #s(literal -1 binary64))
(*.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (log.f64 n) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 n) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (/.f64 n (log.f64 n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n (log.f64 n)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n))
(log.f64 n)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (*.f64 (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n) n))
(neg.f64 (*.f64 n (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n)))
(neg.f64 (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) n))
(/.f64 n (/.f64 n (log.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))))
(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (/.f64 n (log.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64)))
(/.f64 (*.f64 n (log.f64 n)) n)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n)))) n)
(/.f64 (.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))) #s(literal -1 binary64)) n)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(*.f64 n (/.f64 (log.f64 n) n))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 n) n) n)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 n (-.f64 #s(literal 0 binary64) n)))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal -1 binary64) n) n))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(.f64 (/.f64 #s(literal 1 binary64) n) (.f64 n (log.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n (/.f64 #s(literal 1 binary64) (log.f64 n))))
(.f64 (.f64 n (log.f64 n)) (/.f64 #s(literal 1 binary64) n))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 n (log.f64 n))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 n (-.f64 #s(literal 0 binary64) n)) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) n))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 #s(literal -1 binary64) (+.f64 (log.f64 n) #s(literal 1 binary64)))
(+.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64))
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simplify166.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1648×	`fnmadd-define`
1562×	`fma-define`
1484×	`+-lowering-+.f64`
1484×	`+-lowering-+.f32`
1368×	`--lowering--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	492
1	119	464
2	367	428
3	1027	416
4	2871	416
5	7223	388
0	8078	388

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(/ (log n) n)
(/ (log n) n)
(/ (log n) n)
(/ (log n) n)
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(* -1 (/ (log (/ 1 n)) n))
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (log n))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (log n)))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))

Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(/ (log n) n)
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(* -1 (/ (log (/ 1 n)) n))
(/.f64 (log.f64 n) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) n)
(/ (+ (log -1) (* -1 (log (/ -1 n)))) n)
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (log n)))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (* -1 (log (/ 1 n)))))))
(log.f64 n)
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(* -1 (+ 1 (* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (log n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (* -1 (log (/ 1 n))))))
(*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n)))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* n (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))))
(*.f64 n (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64)))))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (log n)))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (* -1 (log (/ 1 n)))))
(-.f64 #s(literal -1 binary64) (log.f64 n))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))
(* -1 (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))))
(+.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 #s(literal -1 binary64))))

eval71.0ms (1.2%)

Compiler: Compiled 9472 to 1342 computations (85.8% saved)

prune48.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	537	1	538
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	539	2	541

Accuracy

100.0%

Counts

541 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 n)
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 n)

Rules

2×	`log-lowering-log.f64`
2×	`log-lowering-log.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
0	2	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log n)
n

Outputs
(log n)
(log.f64 n)
n

localize14.0ms (0.2%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 n)

Results

10.0ms

256×

valid

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 3.0ms (93.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (log n)>

Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(log n)
0.0ms	n	@	-inf	(log n)
0.0ms	n	@	inf	(log n)

rewrite9.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`log-lowering-log.f64`
2×	`log-lowering-log.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
0	2	2

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(log n)

Outputs
(log.f64 n)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

140×	`fnmadd-define`
130×	`sum3-define`
96×	`fma-lowering-fma.f32`
96×	`fnmsub-define`
96×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	21	44
2	30	44
3	48	44
4	68	44
5	123	44
6	193	44
7	273	44
8	357	44
9	463	44
10	541	44
11	547	44
0	547	44

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))

Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))

eval1.0ms (0%)

Compiler: Compiled 47 to 7 computations (85.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Accuracy

100.0%

Counts

15 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 n)
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 53 to 26 computations (50.9% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(log.f64 n)
(*.f64 n (/.f64 (log.f64 n) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (log.f64 n))) n))
(-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n))))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))

Outputs
(log.f64 n)

Calls

3 calls:

2.0ms

(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))

2.0ms

(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`n`
100.0%	1	`(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))`
100.0%	1	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`

Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`n`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 n)
#s(literal 0 binary64)

Outputs
(log.f64 n)
#s(literal 0 binary64)

soundness945.0ms (16.3%)

Rules

3346×	`+-lowering-+.f64`
3346×	`+-lowering-+.f32`
2814×	`-lowering-.f32`
2814×	`-lowering-.f64`
2644×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	26	11
2	67	11
3	195	11
4	447	11
5	1228	11
6	3105	11
7	5737	11
0	8022	11
0	217	942
1	762	752
2	2909	640
0	8478	640
0	9	48
1	54	48
2	447	28
0	8053	28

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess32.0ms (0.5%)

Compiler: Compiled 90 to 58 computations (35.6% saved)

logs (example 3.8)

analyze3.0ms (0%)

sample2.4s (41.6%)

preprocess220.0ms (3.8%)

explain206.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify114.0ms (2%)

localize494.0ms (8.5%)

series87.0ms (1.5%)

rewrite254.0ms (4.4%)

simplify187.0ms (3.2%)

eval56.0ms (1%)

prune35.0ms (0.6%)

simplify149.0ms (2.6%)

localize42.0ms (0.7%)

series11.0ms (0.2%)

rewrite188.0ms (3.2%)

simplify166.0ms (2.9%)

eval71.0ms (1.2%)

prune48.0ms (0.8%)

simplify3.0ms (0.1%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite9.0ms (0.1%)

simplify26.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness945.0ms (16.3%)

preprocess32.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
1	21	44
2	30	44
3	48	44
4	68	44
5	123	44
6	193	44
7	273	44
8	357	44
9	463	44
10	541	44
11	547	44
0	547	44

Iter	Nodes	Cost
0	12	48
1	21	44
2	30	44
3	48	44
4	68	44
5	123	44
6	193	44
7	273	44
8	357	44
9	463	44
10	541	44
11	547	44
0	547	44

Iter	Nodes	Cost
0	12	48
1	21	44
2	30	44
3	48	44
4	68	44
5	123	44
6	193	44
7	273	44
8	357	44
9	463	44
10	541	44
11	547	44
0	547	44