Metrics for logq (problem 3.4.3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.8%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (45.6%)

Memory

34.6MiB live, 2 490.6MiB allocated

Samples

1.6s	3 118×	2	valid
978.0ms	4 845×	1	valid
26.0ms	293×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-log: 1.5s (69.2% of total)

adjust: 218.0ms (9.8% of total)

ival-div: 146.0ms (6.6% of total)

ival-sub: 119.0ms (5.3% of total)

ival-add: 91.0ms (4.1% of total)

ival-fabs: 56.0ms (2.5% of total)

ival-<: 45.0ms (2% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain286.0ms (4.5%)

Memory

-17.0MiB live, 228.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	-	-	`eps`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	-	`(-.f64 #s(literal 1 binary64) eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

185.0ms	204×	2	valid
47.0ms	286×	1	valid
1.0ms	22×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-log: 162.0ms (82.6% of total)

adjust: 12.0ms (6.1% of total)

ival-div: 9.0ms (4.6% of total)

ival-add: 6.0ms (3.1% of total)

ival-sub: 6.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (0.4%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
84×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify24.0ms (0.4%)

Memory

-38.8MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 #s(literal 1 binary64) eps)
cost-diff	0	(-.f64 #s(literal 1 binary64) eps)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
cost-diff	0	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
78×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

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

localize76.0ms (1.2%)

Memory

2.3MiB live, 40.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) eps)
accuracy	0	(+.f64 #s(literal 1 binary64) eps)
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy	58.16876169234403	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

38.0ms	102×	2	valid
22.0ms	143×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-log: 33.0ms (66.9% of total)

adjust: 6.0ms (12.2% of total)

ival-div: 4.0ms (8.1% of total)

ival-sub: 4.0ms (8.1% of total)

ival-add: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())

Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 eps)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* 2 eps) 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))
1.0ms	eps	@	-inf	((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))
1.0ms	eps	@	inf	((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))

Time

Variable

Point

Expression

1.0ms

eps

((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))

1.0ms

eps

-inf

((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))

1.0ms

eps

inf

((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) (+ 1 eps))

simplify148.0ms (2.3%)

Memory

6.8MiB live, 80.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
1 504×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	295
1	220	282
2	488	274
3	1298	270
4	2829	270
5	6030	270
0	8583	258

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))

Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 eps #s(literal -2 binary64) #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)

rewrite133.0ms (2.1%)

Memory

-0.1MiB live, 78.7MiB allocated

Rules

2 220×	`lower-fma.f64`
2 220×	`lower-fma.f32`
2 058×	`lower-*.f64`
2 058×	`lower-*.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8

Stop Event

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

Counts

4 → 304

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)

Outputs
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eval86.0ms (1.3%)

Memory: 14.0MiB live, 50.8MiB allocated
Compiler: Compiled 7 265 to 1 010 computations (86.1% saved)

prune8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	345	5	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	345	6	351

Accuracy

100.0%

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
▶	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
▶	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
▶	99.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
▶	5.3%	#s(literal 0 binary64)

Compiler

Compiled 102 to 72 computations (29.4% saved)

simplify362.0ms (5.7%)

Memory

-22.3MiB live, 169.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
cost-diff	0	(*.f64 eps #s(literal -2 binary64))
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))

Rules

30 264×	`lower-fma.f32`
30 252×	`lower-fma.f64`
3 096×	`lower-+.f64`
3 096×	`lower-+.f32`
2 752×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	200
0	43	200
1	78	200
2	138	200
3	294	200
4	660	200
5	969	200
6	1022	200
7	1265	200
8	1638	200
9	1978	200
10	2187	200
11	4276	200
12	6107	200
13	6729	200
14	6772	200
15	6772	200
16	6794	200
17	6870	200
18	6870	200
19	6870	200
0	8012	200

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
(*.f64 eps eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps #s(literal -2 binary64))
eps
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
(*.f64 eps eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
eps
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)

localize225.0ms (3.5%)

Memory

27.0MiB live, 307.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
accuracy	0.06424099164100919	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
accuracy	0	(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.0078125	(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
accuracy	0.20254376584359593	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
accuracy	0	(*.f64 eps #s(literal -2 binary64))
accuracy	0.6253458567652735	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
accuracy	0.015261291389095776	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
accuracy	0.015625	(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))

Samples

119.0ms	102×	2	valid
79.0ms	143×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 68.0ms (40.6% of total)

ival-log: 36.0ms (21.5% of total)

adjust: 23.0ms (13.7% of total)

const: 15.0ms (8.9% of total)

ival-add: 15.0ms (8.9% of total)

ival-div: 5.0ms (3% of total)

ival-sub: 5.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-10.5MiB live, 27.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 eps #s(literal -2 binary64))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 eps #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 eps #s(literal -2 binary64)) (patch (.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) (patch (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 (pow eps 2)) 2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2/5 (pow eps 5)) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) (patch (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 4)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/7 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

eps

inf

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))

2.0ms

eps

-inf

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))

2.0ms

eps

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))

simplify154.0ms (2.4%)

Memory

4.4MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 532×	`lower-fma.f64`
11 532×	`lower-fma.f32`
3 786×	`lower-*.f64`
3 786×	`lower-*.f32`
2 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1652
1	353	1636
2	1241	1610
3	3545	1606
4	7481	1606
0	8040	1519

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))

Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
-2/5
#s(literal -2/5 binary64)
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/7 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64)))
(* -2/7 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(* -2/7 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/5 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -2/5 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* -2/5 (pow eps 2))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -2/7 (pow eps 2))
(.f64 #s(literal -2/7 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(* -2/7 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2/5 binary64) (.f64 eps eps)) #s(literal -2/7 binary64))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))
(* -2/7 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(* -2/7 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(* -2/5 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal 2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal 2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -2/5 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* -2/5 (pow eps 2))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -2/7 (pow eps 2))
(.f64 #s(literal -2/7 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))

rewrite144.0ms (2.3%)

Memory

17.6MiB live, 209.0MiB allocated

Rules

4 752×	`lower-/.f64`
4 752×	`lower-/.f32`
4 638×	`lower-*.f32`
4 628×	`lower-*.f64`
3 698×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	179
0	42	179
1	177	179
2	1283	179
0	8279	171

Stop Event

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

Counts

15 → 361

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps #s(literal -2 binary64))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))

Outputs
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eval102.0ms (1.6%)

Memory: -12.4MiB live, 147.8MiB allocated
Compiler: Compiled 16 471 to 2 141 computations (87% saved)

prune24.0ms (0.4%)

Memory

9.0MiB live, 45.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	649	2	651
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	649	8	657

Accuracy

100.0%

Counts

657 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
▶	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
✓	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
✓	5.3%	#s(literal 0 binary64)

Compiler

Compiled 82 to 58 computations (29.3% saved)

simplify104.0ms (1.6%)

Memory

0.8MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
cost-diff	320	(fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))

Rules

2 464×	`lower-fma.f32`
2 458×	`lower-fma.f64`
1 398×	`unsub-neg`
1 072×	`lower-*.f32`
1 062×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	30	112
1	60	112
2	97	112
3	145	112
4	249	112
5	312	112
6	350	112
7	494	112
8	699	112
9	939	112
10	1165	112
11	2152	112
12	3174	112
13	3313	112
14	3314	112
15	3322	112
16	3322	112
17	3326	112
0	3326	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
(fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps #s(literal -2 binary64)) eps))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps #s(literal -2 binary64)) eps)
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)

localize149.0ms (2.3%)

Memory

-17.3MiB live, 182.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy	0.06424099164100919	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
accuracy	0.12109375	(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
accuracy	0.33984375	(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
accuracy	0	(*.f64 eps eps)
accuracy	0	(*.f64 #s(literal -2 binary64) eps)
accuracy	0.20254376584359593	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
accuracy	0.21484375	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))

Samples

76.0ms	102×	2	valid
52.0ms	143×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 97 to 22 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-log: 36.0ms (33.5% of total)

ival-mult: 20.0ms (18.6% of total)

adjust: 17.0ms (15.8% of total)

const: 17.0ms (15.8% of total)

ival-add: 9.0ms (8.4% of total)

ival-div: 4.0ms (3.7% of total)

ival-sub: 4.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (patch (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) eps) (patch (.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor 0 eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor -inf eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor -inf eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor -inf eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (pow eps 2)) (taylor -inf eps) (#s(alt (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) (patch (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 5)) (taylor -inf eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 4)) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (patch (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 3)) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (patch (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (patch (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (patch (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (patch (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (.f64 #s(literal -2 binary64) eps) (patch (.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (.f64 #s(literal -2 binary64) eps) (patch (.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (.f64 #s(literal -2 binary64) eps) (patch (.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (.f64 #s(literal -2 binary64) eps) (patch (.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

eps

inf

((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (+ (* (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) (* (+ (* -2/5 (* eps eps)) -2/3) eps) (* -2 eps) (+ (* -2/5 (* eps eps)) -2/3))

2.0ms

eps

-inf

((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (+ (* (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) (* (+ (* -2/5 (* eps eps)) -2/3) eps) (* -2 eps) (+ (* -2/5 (* eps eps)) -2/3))

1.0ms

eps

((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (+ (* (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* (* (+ (* -2/5 (* eps eps)) -2/3) eps) eps) (* (+ (* -2/5 (* eps eps)) -2/3) eps) (* -2 eps) (+ (* -2/5 (* eps eps)) -2/3))

simplify188.0ms (2.9%)

Memory

19.6MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 894×	`lower-fma.f64`
17 894×	`lower-fma.f32`
3 392×	`lower-*.f64`
3 392×	`lower-*.f32`
3 196×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	918
1	226	910
2	751	898
3	2041	898
4	4303	898
5	7436	898
0	8491	851

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))

Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64))) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64))) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64))) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64))) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(* -2/3 eps)
(*.f64 #s(literal -2/3 binary64) eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2/5 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal -2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal -2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/5 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -2/5 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2/5 (pow eps 2))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) #s(literal -2 binary64)) eps))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2/5 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal -2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal -2/5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) #s(literal -2 binary64)) eps))
(* -2/5 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -2/5 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2/5 (pow eps 2))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))

rewrite196.0ms (3.1%)

Memory

-30.8MiB live, 168.6MiB allocated

Rules

12 078×	`lower-fma.f32`
12 072×	`lower-fma.f64`
6 380×	`lower-*.f32`
6 370×	`lower-*.f64`
3 298×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	103
0	30	99
1	123	99
2	881	99
0	8999	91

Stop Event

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

Counts

10 → 292

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
(.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)
(.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps)
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval61.0ms (1%)

Memory: 16.6MiB live, 90.0MiB allocated
Compiler: Compiled 10 432 to 1 462 computations (86% saved)

prune17.0ms (0.3%)

Memory

-13.0MiB live, 32.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	453	0	453
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	453	8	461

Accuracy

100.0%

Counts

461 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
✓	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
✓	5.3%	#s(literal 0 binary64)

Compiler

Compiled 164 to 92 computations (43.9% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Outputs

#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))

Calls

3 calls:

3.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

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

Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))

Calls

3 calls:

2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))

Calls

3 calls:

2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-26.7MiB live, 11.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))

Calls

3 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.7%	1	`eps`
99.7%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 0 binary64)

#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))

#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))

Calls

3 calls:

2.0ms	eps
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.7%	1	`eps`
99.7%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
99.0%	1	`eps`
99.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

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

3 calls:

1.0ms	eps
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
5.3%	1	`eps`
5.3%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify24.0ms (0.4%)

Memory

3.0MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	122
1	43	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(literal 0 binary64)

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)

soundness771.0ms (12.1%)

Memory

-2.6MiB live, 340.1MiB allocated

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
4 752×	`lower-/.f64`
4 752×	`lower-/.f32`
4 638×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	295
1	220	282
2	488	274
3	1298	270
4	2829	270
5	6030	270
0	8583	258
0	25	179
0	42	179
1	177	179
2	1283	179
0	8279	171
0	6	21
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8

Stop Event

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

Compiler

Compiled 142 to 76 computations (46.5% saved)

preprocess87.0ms (1.4%)

Memory: -23.2MiB live, 106.0MiB allocated
Compiler: Compiled 176 to 78 computations (55.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

start0.0ms (0%)

analyze3.0ms (0%)

sample2.9s (45.6%)

explain286.0ms (4.5%)

preprocess28.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.4%)

localize76.0ms (1.2%)

series4.0ms (0.1%)

simplify148.0ms (2.3%)

rewrite133.0ms (2.1%)

eval86.0ms (1.3%)

prune8.0ms (0.1%)

simplify362.0ms (5.7%)

localize225.0ms (3.5%)

series16.0ms (0.3%)

simplify154.0ms (2.4%)

rewrite144.0ms (2.3%)

eval102.0ms (1.6%)

prune24.0ms (0.4%)

simplify104.0ms (1.6%)

localize149.0ms (2.3%)

series9.0ms (0.1%)

simplify188.0ms (2.9%)

rewrite196.0ms (3.1%)

eval61.0ms (1%)

prune17.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify24.0ms (0.4%)

soundness771.0ms (12.1%)

preprocess87.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23