Metrics for logs (example 3.8)

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
100%	23.7%	0%	76.3%	0%	0%	0%	1

Compiler

Compiled 19 to 14 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

ival-log: 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)

sample2.9s (34.3%)

Results

2.4s	8216×	1	valid
4.0ms	40×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-log: 865.0ms (42.6% of total)

ival-mult: 343.0ms (16.9% of total)

backward-pass: 321.0ms (15.8% of total)

ival-add: 252.0ms (12.4% of total)

ival-sub: 165.0ms (8.1% of total)

ival->: 52.0ms (2.6% of total)

const: 33.0ms (1.6% of total)

Bogosity

preprocess148.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1408×	`accelerator-lowering-fma.f32`
1408×	`accelerator-lowering-fma.f64`
590×	`sub-neg`
432×	`associate-+l-`
408×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	50	48
2	131	47
3	424	47
4	1186	47
5	2276	47
6	3099	47
7	3305	47
8	3321	47
9	3321	47
10	3321	47
11	3323	47
0	9	15
1	24	15
2	52	15
3	119	15
4	253	15
5	487	15
6	842	15
7	1191	15
8	1382	15
9	1399	15
0	1399	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain534.0ms (6.4%)

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

190.0ms	322×	1	valid
253.0ms	190×	2	valid

Compiler

Compiled 122 to 76 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-log: 130.0ms (44.4% of total)

backward-pass: 54.0ms (18.4% of total)

ival-add: 47.0ms (16% of total)

ival-mult: 38.0ms (13% of total)

ival-sub: 18.0ms (6.1% of total)

const: 6.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize606.0ms (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 n)
✓	cost-diff	0	(*.f64 n (log.f64 n))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))
✓	cost-diff	0	(-.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) n)))
✓	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)

Rules

1408×	`accelerator-lowering-fma.f32`
1408×	`accelerator-lowering-fma.f64`
360×	`+-lowering-+.f64`
360×	`--lowering--.f32`
360×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	29	44
2	70	44
3	206	44
4	650	44
5	1155	44
6	1548	44
7	1638	44
8	1644	44
0	1644	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Results

456.0ms

256×

exit

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-log: 215.0ms (52.7% of total)

backward-pass: 86.0ms (21.1% of total)

ival-mult: 38.0ms (9.3% of total)

ival-sub: 34.0ms (8.3% of total)

<compiled-spec>: 28.0ms (6.9% of total)

const: 4.0ms (1% of total)

ival-add: 3.0ms (0.7% of total)

series86.0ms (1%)

Counts

6 → 72

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	n	@	0	(log n)
27.0ms	n	@	-inf	(log n)
10.0ms	n	@	inf	(log n)
10.0ms	n	@	0	(* n (log n))
1.0ms	n	@	-inf	(* n (log n))

rewrite511.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

7442×	`accelerator-lowering-fma.f32`
7442×	`accelerator-lowering-fma.f64`
5276×	`-lowering-.f32`
5276×	`-lowering-.f64`
3650×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	73	39
2	638	39
0	8990	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 307

Calls

Call 1

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

Outputs
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(log.f64 (+.f64 n #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 n (.f64 n n))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 n #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (.f64 n (.f64 n n))) (neg.f64 (log1p.f64 (*.f64 n (+.f64 n #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 n #s(literal -1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) n))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(-.f64 (log1p.f64 (.f64 n (.f64 n n))) (log1p.f64 (*.f64 n (+.f64 n #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) n)))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 n n))) (log.f64 (+.f64 n #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 n #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (*.f64 n n) #s(literal -1 binary64))) (log.f64 (+.f64 n #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 n (.f64 n n))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 n (+.f64 n #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (.f64 n (.f64 n n))) (log1p.f64 (.f64 n (.f64 n n)))) (+.f64 (.f64 (log1p.f64 (.f64 n (+.f64 n #s(literal -1 binary64)))) (log1p.f64 (.f64 n (+.f64 n #s(literal -1 binary64))))) (.f64 (log1p.f64 (.f64 n (.f64 n n))) (log1p.f64 (*.f64 n (+.f64 n #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 n n))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 n n)))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) n)) (log.f64 (-.f64 #s(literal 1 binary64) n))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 n (.f64 n n))) (log1p.f64 (.f64 n (.f64 n n)))) (.f64 (log1p.f64 (.f64 n (+.f64 n #s(literal -1 binary64)))) (log1p.f64 (.f64 n (+.f64 n #s(literal -1 binary64)))))) (+.f64 (log1p.f64 (.f64 n (.f64 n n))) (log1p.f64 (*.f64 n (+.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 n n)))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) n)) (log.f64 (-.f64 #s(literal 1 binary64) n)))) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n))) (log.f64 (-.f64 #s(literal 1 binary64) n))))
(log1p.f64 n)
(*.f64 #s(literal 1 binary64) (log1p.f64 n))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (log.f64 n))))
(*.f64 n (log.f64 n))
(.f64 n (.f64 #s(literal 1 binary64) (log.f64 n)))
(*.f64 (log.f64 n) n)
(.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))
(.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n (log.f64 n))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 n (log.f64 n))) #s(literal -1 binary64))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 (neg.f64 (log.f64 n)) (neg.f64 n))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)
(.f64 (.f64 (log.f64 n) #s(literal 1 binary64)) n)
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (*.f64 (neg.f64 n) (log1p.f64 n)))
(+.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) (.f64 (log1p.f64 n) (neg.f64 n)))
(+.f64 (.f64 (log1p.f64 n) (neg.f64 n)) (.f64 (log1p.f64 n) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 n) (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(-.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(fma.f64 n (-.f64 #s(literal 0 binary64) (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (log1p.f64 n) #s(literal -1 binary64) (*.f64 (log1p.f64 n) (neg.f64 n)))
(fma.f64 (log1p.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 n) (*.f64 (neg.f64 n) (log1p.f64 n)))
(fma.f64 #s(literal -1 binary64) (*.f64 n (log1p.f64 n)) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (neg.f64 n) (log1p.f64 n) (-.f64 #s(literal 0 binary64) (log1p.f64 n)))
(fma.f64 (.f64 (log1p.f64 n) #s(literal -1 binary64)) n (.f64 (log1p.f64 n) #s(literal -1 binary64)))
(fma.f64 (.f64 (log1p.f64 n) n) #s(literal -1 binary64) (.f64 (log1p.f64 n) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 n #s(literal -1 binary64)))) (.f64 (log1p.f64 n) (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n #s(literal -1 binary64)) (.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 n #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))) (log1p.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 n n)) (log1p.f64 n))))
(/.f64 (log1p.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) n)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64)) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 4 binary64))) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))))
(.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 n (log.f64 n)) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 n (log.f64 n)) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))) #s(literal -1 binary64))

simplify581.0ms (7%)

Algorithm

1×	egg-herbie

Rules

10510×	`accelerator-lowering-fma.f32`
10510×	`accelerator-lowering-fma.f64`
4042×	`--lowering--.f32`
4042×	`--lowering--.f64`
3168×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	816
1	598	696
2	1835	608
3	6987	606
0	8399	583

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

eval96.0ms (1.2%)

Compiler: Compiled 11752 to 6321 computations (46.2% saved)

prune59.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	376	3	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	3	380

Accuracy

100.0%

Counts

380 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (log1p.f64 n) (+.f64 (.f64 n (log1p.f64 n)) (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n)))))
▶	99.8%	(*.f64 n (/.f64 (log.f64 n) n))
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize1.1s (13.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 n (log1p.f64 n))
✓	cost-diff	0	(log1p.f64 n)
✓	cost-diff	128	(+.f64 (.f64 n (log1p.f64 n)) (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))))
✓	cost-diff	6400	(+.f64 (log1p.f64 n) (+.f64 (.f64 n (log1p.f64 n)) (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 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))
✓	accuracy	100.0%	(*.f64 n (log1p.f64 n))
✓	accuracy	100.0%	(*.f64 n (log.f64 n))
✓	accuracy	100.0%	(log1p.f64 n)
✓	accuracy	100.0%	(log.f64 n)
✓	accuracy	100.0%	(/.f64 (log.f64 n) n)
✓	accuracy	100.0%	(*.f64 n (/.f64 (log.f64 n) n))
✓	accuracy	100.0%	(log.f64 n)

Rules

5330×	`accelerator-lowering-fma.f32`
5330×	`accelerator-lowering-fma.f64`
3714×	`-lowering-.f32`
3714×	`-lowering-.f64`
1506×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	31	67
2	66	61
3	142	57
4	292	57
5	634	57
6	1295	57
7	3406	57
8	4415	57
9	5219	57
10	6056	57
11	6600	57
12	6947	57
13	7144	57
14	7464	57
15	7850	57
0	8084	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Results

663.0ms

256×

exit

Compiler

Compiled 61 to 19 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 595.0ms

ival-log: 336.0ms (56.5% of total)

backward-pass: 125.0ms (21% of total)

ival-mult: 36.0ms (6% of total)

ival-sub: 28.0ms (4.7% of total)

<compiled-spec>: 28.0ms (4.7% of total)

ival-add: 24.0ms (4% of total)

ival-div: 15.0ms (2.5% of total)

const: 3.0ms (0.5% of total)

series21.0ms (0.3%)

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (log n)>
#<alt (* n (/ (log n) n))>
#<alt (/ (log n) n)>
#<alt (log (+ 1 n))>
#<alt (* n (log n))>
#<alt (* n (log (+ 1 n)))>
#<alt (+ (log (+ 1 n)) (+ (* n (log (+ 1 n))) (- -1 (* n (log n)))))>
#<alt (+ (* n (log (+ 1 n))) (- -1 (* n (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)>
#<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 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 (* 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 (pow n 2)>
#<alt (* (pow n 2) (+ 1 (* -1/2 n)))>
#<alt (* (pow n 2) (+ 1 (* n (- (* 1/3 n) 1/2))))>
#<alt (* (pow n 2) (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* n (+ (* -1 (log (/ 1 n))) (/ 1 n)))>
#<alt (* n (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))>
#<alt (* n (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* -1 (* n (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (/ 1 n))))>
#<alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1 (* 1/2 (/ 1 n))) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))) n)))))>
#<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 (log (/ 1 n)))>
#<alt (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))>
#<alt (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))>
#<alt -1>
#<alt (- (* -1 (* n (log n))) 1)>
#<alt (- (* n (- n (log n))) 1)>
#<alt (- (* n (- (* n (+ 1 (* -1/2 n))) (log n))) 1)>
#<alt (/ -1/2 n)>
#<alt (/ (- (* 1/3 (/ 1 n)) 1/2) n)>
#<alt (/ (- (* 1/3 (/ 1 n)) (+ 1/2 (/ 1/4 (pow n 2)))) n)>
#<alt (/ (- (+ (* 1/3 (/ 1 n)) (* 1/5 (/ 1 (pow n 3)))) (+ 1/2 (/ 1/4 (pow n 2)))) n)>
#<alt (/ -1/2 n)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 n))) n))) n))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/4 (* 1/5 (/ 1 n))) n))) n))) n))>

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	n	@	-inf	(/ (log n) n)
3.0ms	n	@	inf	(/ (log n) n)
0.0ms	n	@	0	(/ (log n) n)
0.0ms	n	@	-inf	(+ (log (+ 1 n)) (+ (* n (log (+ 1 n))) (- -1 (* n (log n)))))
0.0ms	n	@	inf	(+ (log (+ 1 n)) (+ (* n (log (+ 1 n))) (- -1 (* n (log n)))))

rewrite766.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

9730×	`accelerator-lowering-fma.f32`
9730×	`accelerator-lowering-fma.f64`
5110×	`-lowering-.f32`
5110×	`-lowering-.f64`
3664×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	86	50
2	742	48
0	8671	39

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 421

Calls

Call 1

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

Outputs
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 n (/.f64 (log.f64 n) n) #s(literal 0 binary64))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) n) n #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 n (log.f64 n)) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n (log.f64 n)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 0 binary64))
(fma.f64 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 n) n)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) n) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (log.f64 n) n)) n))
(neg.f64 (*.f64 n (neg.f64 (/.f64 (log.f64 n) n))))
(neg.f64 (/.f64 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) n))
(/.f64 n (/.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 n (log.f64 n)) 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 #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 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 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 n))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 n) #s(literal 1 binary64)))
(.f64 (.f64 n (log.f64 n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 (/.f64 #s(literal -1 binary64) n) 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 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 n #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 n) n)))
(*.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) n) n))
(.f64 (/.f64 (.f64 n (log.f64 n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 n (/.f64 (log.f64 n) n) #s(literal 0 binary64))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) n) n #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 n (log.f64 n)) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n (log.f64 n)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 0 binary64))
(fma.f64 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 n) n)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) n) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (*.f64 n (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (log.f64 n) n)) n))
(neg.f64 (*.f64 n (neg.f64 (/.f64 (log.f64 n) n))))
(neg.f64 (/.f64 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) n))
(/.f64 n (/.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 n (log.f64 n)) 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 #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 (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 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))
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(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))))) (/.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))))) (.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))))))) (+.f64 (/.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n)))))))) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 6 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 n (log1p.f64 n)) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n)))))))) (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))))) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 n (log1p.f64 n)) (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))))) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) (.f64 (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n)))))))
(.f64 (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n))))))))
(.f64 (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (.f64 (.f64 n (log1p.f64 n)) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (.f64 n (log.f64 n))))))))
(.f64 (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n)))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (*.f64 n (log1p.f64 n)))))))))
(.f64 (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (.f64 n (log1p.f64 n)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (log1p.f64 n) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n))))))
(.f64 (-.f64 (pow.f64 (+.f64 (.f64 n (log1p.f64 n)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (.f64 n (log1p.f64 n)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 n (log.f64 n)) (+.f64 (.f64 n (log1p.f64 n)) #s(literal -1 binary64)))))))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (pow.f64 (.f64 n (log1p.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 (.f64 n (log.f64 n)) (*.f64 n (log1p.f64 n))))))
(.f64 (-.f64 (pow.f64 (+.f64 (.f64 n (log1p.f64 n)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 n (log1p.f64 n)) (+.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64)))))

simplify644.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

12194×	`accelerator-lowering-fma.f32`
12194×	`accelerator-lowering-fma.f64`
3598×	`+-lowering-+.f64`
3598×	`+-lowering-+.f32`
2648×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	797
1	531	725
2	1411	705
3	4472	668
0	8225	641

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)
(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)
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))))
(* 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)))))
(pow n 2)
(* (pow n 2) (+ 1 (* -1/2 n)))
(* (pow n 2) (+ 1 (* n (- (* 1/3 n) 1/2))))
(* (pow n 2) (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(* -1 (* n (log (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (/ 1 n)))
(* n (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* -1 (* n (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (/ 1 n))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1 (* 1/2 (/ 1 n))) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))) n)))))
-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 (log (/ 1 n)))
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
-1
(- (* -1 (* n (log n))) 1)
(- (* n (- n (log n))) 1)
(- (* n (- (* n (+ 1 (* -1/2 n))) (log n))) 1)
(/ -1/2 n)
(/ (- (* 1/3 (/ 1 n)) 1/2) n)
(/ (- (* 1/3 (/ 1 n)) (+ 1/2 (/ 1/4 (pow n 2)))) n)
(/ (- (+ (* 1/3 (/ 1 n)) (* 1/5 (/ 1 (pow n 3)))) (+ 1/2 (/ 1/4 (pow n 2)))) n)
(/ -1/2 n)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 n))) n))) n))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/4 (* 1/5 (/ 1 n))) n))) n))) 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)
(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)
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 (log.f64 n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) 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) (/.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 0 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (/ 1 n)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 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 0 binary64) n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 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 0 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))
(pow n 2)
(*.f64 n n)
(* (pow n 2) (+ 1 (* -1/2 n)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 n #s(literal -1/2 binary64))) (*.f64 n n))
(* (pow n 2) (+ 1 (* n (- (* 1/3 n) 1/2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal -1/2 binary64) (.f64 n #s(literal 1/3 binary64))))) (.f64 n n))
(* (pow n 2) (+ 1 (* n (- (* n (+ 1/3 (* -1/4 n))) 1/2))))
(.f64 (+.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))))))) (*.f64 n n))
(* -1 (* n (log (/ 1 n))))
(*.f64 n (log.f64 n))
(* n (+ (* -1 (log (/ 1 n))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n)))
(* n (- (+ (* -1 (log (/ 1 n))) (/ 1 n)) (/ 1/2 (pow n 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n))) (/.f64 #s(literal -1/2 binary64) n))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (/ 1 n) (* 1/3 (/ 1 (pow n 3))))) (/ 1/2 (pow n 2))))
(+.f64 (*.f64 n (log.f64 n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))
(* -1 (* n (- (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (- 1 (* 1/2 (/ 1 n))) n)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))) (/.f64 #s(literal -1/2 binary64) n))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))) n)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))))))
-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 #s(literal 1 binary64) (log.f64 n)) (.f64 n #s(literal 1/2 binary64)))))
(- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (+.f64 #s(literal 1 binary64) (-.f64 (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/6 binary64)))) (log.f64 n)))))
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))
(+.f64 (log.f64 n) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n))
(- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))
(+.f64 (log.f64 n) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) n)) 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))) (* 1/2 (/ 1 n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal 1/2 binary64) n)))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n))
(+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) n))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (* n (log n))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 n (log.f64 n)))
(- (* n (- n (log n))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (-.f64 n (log.f64 n))))
(- (* n (- (* n (+ 1 (* -1/2 n))) (log n))) 1)
(+.f64 #s(literal -1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 n #s(literal -1/2 binary64)))) (log.f64 n))))
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ (- (* 1/3 (/ 1 n)) 1/2) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)
(/ (- (* 1/3 (/ 1 n)) (+ 1/2 (/ 1/4 (pow n 2)))) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) n)) n)) n)
(/ (- (+ (* 1/3 (/ 1 n)) (* 1/5 (/ 1 (pow n 3)))) (+ 1/2 (/ 1/4 (pow n 2)))) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/5 binary64) n)) n) n))) n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 n))) n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) n)) n)) n)
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/4 (* 1/5 (/ 1 n))) n))) n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/5 binary64) n)) n)) n)) n)

eval131.0ms (1.6%)

Compiler: Compiled 14449 to 6447 computations (55.4% saved)

prune76.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	609	1	610
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	611	2	613

Accuracy

100.0%

Counts

613 → 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)

localize19.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 n)
✓	accuracy	100.0%	(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

Results

9.0ms

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 (92.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (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)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

96×	`accelerator-lowering-fma.f32`
96×	`accelerator-lowering-fma.f64`
64×	`-lowering-.f32`
64×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	20	44
2	27	44
3	45	44
4	64	44
5	82	44
6	110	44
7	129	44
8	171	44
9	186	44
10	194	44
0	194	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 26 computations (44.7% 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 57 to 31 computations (45.6% saved)

regimes41.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(log.f64 n)

Calls

3 calls:

2.0ms

1.0ms

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

1.0ms

(-.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 23 computations (28.1% saved)

regimes3.0ms (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:

2.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`n`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 4 to 3 computations (25% saved)

preprocess34.0ms (0.4%)

Compiler: Compiled 90 to 70 computations (22.2% saved)

logs (example 3.8)

analyze2.0ms (0%)

sample2.9s (34.3%)

preprocess148.0ms (1.8%)

explain534.0ms (6.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize606.0ms (7.3%)

series86.0ms (1%)

rewrite511.0ms (6.1%)

simplify581.0ms (7%)

eval96.0ms (1.2%)

prune59.0ms (0.7%)

localize1.1s (13.2%)

series21.0ms (0.3%)

rewrite766.0ms (9.2%)

simplify644.0ms (7.7%)

eval131.0ms (1.6%)

prune76.0ms (0.9%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite9.0ms (0.1%)

simplify11.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes41.0ms (0.5%)

regimes3.0ms (0%)

soundness0.0ms (0%)

preprocess34.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
1	20	44
2	27	44
3	45	44
4	64	44
5	82	44
6	110	44
7	129	44
8	171	44
9	186	44
10	194	44
0	194	44

Iter	Nodes	Cost
0	12	48
1	20	44
2	27	44
3	45	44
4	64	44
5	82	44
6	110	44
7	129	44
8	171	44
9	186	44
10	194	44
0	194	44

Iter	Nodes	Cost
0	12	48
1	20	44
2	27	44
3	45	44
4	64	44
5	82	44
6	110	44
7	129	44
8	171	44
9	186	44
10	194	44
0	194	44