Metrics for logq (problem 3.4.3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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)

sample3.0s (47.3%)

Memory

8.8MiB live, 2 972.1MiB allocated

Samples

1.6s	3 150×	2	valid
981.0ms	4 816×	1	valid
19.0ms	290×	0	valid

Precisions

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

ival-log: 1.4s (61.7% of total)

adjust: 328.0ms (14.6% of total)

ival-div: 162.0ms (7.2% of total)

ival-sub: 160.0ms (7.1% of total)

ival-add: 109.0ms (4.9% of total)

ival-fabs: 62.0ms (2.8% of total)

ival-<: 28.0ms (1.2% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain211.0ms (3.4%)

Memory

23.5MiB live, 261.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(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	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	180×	2	valid
59.0ms	318×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 87.0ms (67.1% of total)

ival-add: 13.0ms (10% of total)

adjust: 12.0ms (9.3% of total)

ival-div: 11.0ms (8.5% of total)

ival-sub: 7.0ms (5.4% of total)

ival-true: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

preprocess35.0ms (0.6%)

Memory

-5.3MiB live, 32.7MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB 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))

localize73.0ms (1.2%)

Memory

-10.7MiB live, 66.8MiB 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	0.0234375	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy	59.113556942830165	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

37.0ms	90×	2	valid
27.0ms	159×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 32.0ms (62.3% of total)

adjust: 8.0ms (15.6% of total)

ival-div: 4.0ms (7.8% of total)

ival-sub: 4.0ms (7.8% of total)

ival-add: 3.0ms (5.8% 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

4.9MiB live, 4.9MiB 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))

simplify115.0ms (1.8%)

Memory

3.0MiB live, 82.8MiB 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)

rewrite125.0ms (2%)

Memory

7.7MiB live, 83.6MiB 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
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval82.0ms (1.3%)

Memory: -16.1MiB live, 74.7MiB allocated
Compiler: Compiled 7 265 to 1 010 computations (86.1% saved)

prune6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	4	351

Accuracy

100.0%

Counts

351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#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))
▶	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
▶	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
▶	5.4%	#s(literal 0 binary64)

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify103.0ms (1.6%)

Memory

-15.9MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 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)))

Rules

2 464×	`lower-fma.f32`
2 458×	`lower-fma.f64`
1 398×	`unsub-neg`
1 072×	`lower-*.f32`
1 064×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	30	114
1	52	114
2	85	114
3	149	114
4	246	114
5	289	114
6	327	114
7	471	114
8	673	114
9	909	114
10	1140	114
11	2082	114
12	3106	114
13	3273	114
14	3274	114
15	3282	114
16	3282	114
17	3286	114
0	3286	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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(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)

localize162.0ms (2.6%)

Memory

23.5MiB live, 138.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	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))
accuracy	0.00390625	(.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 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
accuracy	0	(*.f64 eps eps)
accuracy	0.05478570141515042	#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	0.24925595158778568	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))

Samples

88.0ms	159×	1	valid
57.0ms	90×	2	valid
1.0ms	7×	0	valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-log: 33.0ms (31.1% of total)

ival-mult: 28.0ms (26.3% of total)

const: 14.0ms (13.2% of total)

adjust: 12.0ms (11.3% of total)

ival-add: 9.0ms (8.5% of total)

ival-div: 5.0ms (4.7% of total)

ival-sub: 4.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-25.9MiB live, 10.4MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#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>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

eps

inf

((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))

2.0ms

eps

-inf

((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))

1.0ms

eps

((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))

simplify173.0ms (2.7%)

Memory

7.9MiB live, 158.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 464×	`lower-fma.f64`
17 464×	`lower-fma.f32`
4 054×	`lower-*.f64`
4 054×	`lower-*.f32`
2 210×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	966
1	222	954
2	738	946
3	1998	946
4	4320	946
5	7797	946
0	8377	881

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 (- (* (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)
(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))))))
(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))))))

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

rewrite451.0ms (7.2%)

Memory

-198.2MiB live, 276.4MiB allocated

Rules

7 548×	`lower-fma.f32`
7 542×	`lower-fma.f64`
5 400×	`lower-*.f32`
5 392×	`lower-*.f64`
3 690×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	29	101
1	117	101
2	819	101
0	8519	95

Stop Event

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

Counts

10 → 287

Calls

Call 1

Inputs
#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))

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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval58.0ms (0.9%)

Memory: 21.6MiB live, 98.2MiB allocated
Compiler: Compiled 9 268 to 1 374 computations (85.2% saved)

prune15.0ms (0.2%)

Memory

-14.1MiB live, 29.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	456	1	457
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	456	5	461

Accuracy

100.0%

Counts

461 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (.f64 eps eps) (.f64 #s(literal -2 binary64) eps)))
✓	100.0%	#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))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify164.0ms (2.6%)

Memory

-0.0MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 464×	`lower-fma.f32`
2 460×	`lower-fma.f64`
1 398×	`unsub-neg`
1 072×	`lower-*.f32`
1 066×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	22	63
1	42	61
2	72	61
3	150	61
4	309	61
5	383	61
6	421	61
7	565	61
8	771	61
9	1017	61
10	1247	61
11	2192	61
12	3218	61
13	3375	61
14	3376	61
15	3384	61
16	3384	61
17	3388	61
0	3388	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize142.0ms (2.3%)

Memory

29.9MiB live, 65.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

80.0ms	159×	1	valid
48.0ms	90×	2	valid
1.0ms	7×	0	valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 44.0ms (38.6% of total)

ival-log: 33.0ms (28.9% of total)

adjust: 10.0ms (8.8% of total)

const: 10.0ms (8.8% of total)

ival-add: 7.0ms (6.1% of total)

ival-div: 4.0ms (3.5% of total)

ival-sub: 4.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

eps

-inf

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

1.0ms

eps

inf

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

1.0ms

eps

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

simplify176.0ms (2.8%)

Memory

-25.2MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 628×	`lower-fma.f64`
14 628×	`lower-fma.f32`
3 208×	`lower-*.f64`
3 208×	`lower-*.f32`
1 844×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	516
1	197	512
2	604	508
3	1568	506
4	3467	506
5	6897	506
0	8116	477

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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) (- (* -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 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))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(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 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))))))
(* -2/5 (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 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(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 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))))))
(* -2/5 (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 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)

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

rewrite257.0ms (4.1%)

Memory

20.0MiB live, 94.5MiB allocated

Rules

8 916×	`lower-fma.f32`
8 912×	`lower-fma.f64`
6 154×	`lower-*.f32`
6 148×	`lower-*.f64`
3 996×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	22	59
1	95	57
2	719	57
0	8812	53

Stop Event

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

Counts

6 → 248

Calls

Call 1

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

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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<batchref>
#<batchref>
#<batchref>

eval96.0ms (1.5%)

Memory: 6.9MiB live, 95.0MiB allocated
Compiler: Compiled 9 925 to 1 223 computations (87.7% saved)

prune31.0ms (0.5%)

Memory

-13.2MiB live, 24.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	345	5	350

Accuracy

100.0%

Counts

350 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (.f64 eps eps) (.f64 #s(literal -2 binary64) eps)))
✓	100.0%	#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))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 96 to 56 computations (41.7% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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))) (.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 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (.f64 eps eps) (.f64 #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))) (fma.f64 (.f64 (fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (.f64 eps eps) (.f64 #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)

regimes30.0ms (0.5%)

Memory

-27.9MiB live, 11.7MiB 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))) (.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:

26.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	eps
2.0ms	(/.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)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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
99.9%	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)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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
99.6%	1	`eps`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	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

7.0MiB live, 7.0MiB 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
5.4%	1	`eps`
5.4%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify50.0ms (0.8%)

Memory

-17.7MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-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	24	76
1	30	76

Stop Event

1×

saturated

Calls

Call 1

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

soundness646.0ms (10.3%)

Memory

-12.0MiB live, 343.8MiB allocated

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
7 548×	`lower-fma.f32`
7 542×	`lower-fma.f64`
5 400×	`lower-*.f32`

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
0	89	295
1	220	282
2	488	274
3	1298	270
4	2829	270
5	6030	270
0	8583	258
0	19	101
0	29	101
1	117	101
2	819	101
0	8519	95

Stop Event

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

Compiler

Compiled 95 to 52 computations (45.3% saved)

preprocess48.0ms (0.8%)

Memory: 24.8MiB live, 103.1MiB allocated
Compiler: Compiled 116 to 58 computations (50% 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%)

analyze5.0ms (0.1%)

sample3.0s (47.3%)

explain211.0ms (3.4%)

preprocess35.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize73.0ms (1.2%)

series4.0ms (0.1%)

simplify115.0ms (1.8%)

rewrite125.0ms (2%)

eval82.0ms (1.3%)

prune6.0ms (0.1%)

simplify103.0ms (1.6%)

localize162.0ms (2.6%)

series14.0ms (0.2%)

simplify173.0ms (2.7%)

rewrite451.0ms (7.2%)

eval58.0ms (0.9%)

prune15.0ms (0.2%)

simplify164.0ms (2.6%)

localize142.0ms (2.3%)

series6.0ms (0.1%)

simplify176.0ms (2.8%)

rewrite257.0ms (4.1%)

eval96.0ms (1.5%)

prune31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes30.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify50.0ms (0.8%)

soundness646.0ms (10.3%)

preprocess48.0ms (0.8%)

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