Metrics for logq (problem 3.4.3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (62.7%)

Memory

-4.7MiB live, 2 520.9MiB allocated; 341ms collecting garbage

Samples

1.6s	3 356×	2	valid
991.0ms	4 734×	1	valid
10.0ms	166×	0	valid

Precisions

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

ival-log: 1.3s (59.9% of total)

adjust: 375.0ms (17.2% of total)

ival-sub: 195.0ms (9% of total)

ival-div: 146.0ms (6.7% of total)

ival-add: 144.0ms (6.6% of total)

exact: 9.0ms (0.4% of total)

ival-assert: 2.0ms (0.1% of total)

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

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

Bogosity

explain199.0ms (4.2%)

Memory

5.6MiB live, 200.1MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(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	253	0

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	0	3

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms	212×	2	valid
53.0ms	286×	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: 126.0ms

ival-log: 72.0ms (57.1% of total)

adjust: 20.0ms (15.9% of total)

ival-add: 15.0ms (11.9% of total)

ival-div: 9.0ms (7.1% of total)

ival-sub: 9.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess161.0ms (3.4%)

Memory

-7.4MiB live, 132.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	22	29
2	27	29
3	51	25
4	140	25
5	735	25
6	5314	25
0	6	8
0	10	8
1	16	8
2	19	8
3	34	8
4	87	8
5	444	8
0	8522	8

Stop Event

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

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 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64))))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

series4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

6 → 29

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
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

-inf

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

1.0ms

eps

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

rewrite220.0ms (4.7%)

Memory

27.2MiB live, 166.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	482
0	128	447
1	680	443
0	6556	405

Stop Event

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

Counts

35 → 95

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)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))

Outputs
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (log.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))))
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (neg.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 eps #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (+.f64 eps #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) eps))
(fma.f64 (neg.f64 eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64))))
(-.f64 (neg.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (neg.f64 eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
#s(literal 1 binary64)
eps
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) eps)
(*.f64 eps (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) eps) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)))
(-.f64 eps (*.f64 (neg.f64 eps) (pow.f64 eps #s(literal -1 binary64))))
(-.f64 eps (*.f64 (neg.f64 (pow.f64 eps #s(literal -1 binary64))) eps))
(-.f64 eps #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (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 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))
#s(approx (- 1 eps) #s(literal 1 binary64))
#s(approx (- 1 eps) (-.f64 #s(literal 1 binary64) eps))
#s(approx eps eps)
#s(approx (+ 1 eps) #s(literal 1 binary64))
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal -1 binary64))
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 eps) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ 1 eps) eps)
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps) #s(literal -1 binary64) #s(literal -2 binary64)) eps) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (- 1 eps) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (neg.f64 eps)))

eval12.0ms (0.3%)

Memory: -30.4MiB live, 15.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 448 to 366 computations (74.7% saved)

prune5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Accuracy

100.0%

Counts

97 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	99.5%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))

Status

Accuracy

Program

100.0%

(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

▶

99.5%

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

11 → 39

Calls

Call 1

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

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* -2 eps)))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (- (* -2/3 (pow eps 2)) 2)))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 -2/3))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 (- (* -2/5 (pow eps 2)) 2/3)))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) #s(hole binary64 -2/5))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) #s(hole binary64 (- (* -2/7 (pow eps 2)) 2/5)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* -2/7 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (* -2/7 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(hole binary64 (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 (* -2/7 (pow eps 4))))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) #s(hole binary64 (* -2/7 (pow eps 2))))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) #s(hole binary64 (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5) -2/7 (* eps eps) eps -2/5 -2/3 -2)
1.0ms	eps	@	-inf	((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5) -2/7 (* eps eps) eps -2/5 -2/3 -2)
1.0ms	eps	@	0	((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5) -2/7 (* eps eps) eps -2/5 -2/3 -2)

Time

Variable

Point

Expression

2.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

rewrite225.0ms (4.8%)

Memory

-12.2MiB live, 155.3MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1091
0	165	1036
1	768	1019
0	7206	982

Stop Event

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

Counts

50 → 155

Calls

Call 1

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

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 4 binary64)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) eps) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8 binary64)) eps) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)))
(/.f64 (.f64 eps (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps (*.f64 #s(literal -2 binary64) eps))
(fma.f64 #s(literal -2 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps))
(fma.f64 #s(literal -2 binary64) eps (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)))
(fma.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 eps #s(literal -2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal -2 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps) (.f64 #s(literal -2 binary64) eps))
(+.f64 (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)) (.f64 #s(literal -2 binary64) eps))
(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) eps))
(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) (*.f64 #s(literal -2 binary64) eps)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) eps) eps) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (neg.f64 eps)) (neg.f64 eps) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) eps #s(literal -2 binary64))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(fma.f64 eps (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) eps) #s(literal -2 binary64))
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#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 #s(literal -2 binary64) eps))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) #s(literal -2 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) #s(literal -2 binary64))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) #s(literal -2/3 binary64))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) #s(literal -2/5 binary64))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -2/7 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/3 binary64) #s(literal -2/5 binary64)) eps) eps) #s(literal 2/7 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7 binary64)))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (*.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/3 binary64) #s(literal -2/5 binary64)) eps) eps) #s(literal 2/7 binary64))))
#s(approx (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64)))))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/7 binary64)))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (*.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/3 binary64) #s(literal -2/5 binary64)) eps) eps) #s(literal 2/7 binary64))))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))
#s(approx (+ (* -2/7 (* eps eps)) -2/5) (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/7 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (*.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 4 binary64))))) #s(literal 2/7 binary64))) (pow.f64 eps #s(literal 7 binary64))))

eval26.0ms (0.6%)

Memory: -10.0MiB live, 36.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 066 to 895 computations (87.3% saved)

prune679.0ms (14.5%)

Memory

35.6MiB live, 790.1MiB allocated; 54ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	199	2	201

Accuracy

100.0%

Counts

201 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.5%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))

Status

Accuracy

Program

▶

100.0%

(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

✓

99.5%

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

5 → 38

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)

Outputs
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))
1.0ms	eps	@	inf	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))
1.0ms	eps	@	-inf	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))

Time

Variable

Point

Expression

2.0ms

eps

((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))

1.0ms

eps

inf

((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))

1.0ms

eps

-inf

((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) eps (log (+ 1 eps)))

rewrite154.0ms (3.3%)

Memory

7.0MiB live, 143.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	665
0	196	597
1	1126	573
0	8203	548

Stop Event

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

Counts

43 → 58

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(log1p.f64 (neg.f64 eps))
(-.f64 (log1p.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (log1p.f64 (fma.f64 eps eps (*.f64 #s(literal -1 binary64) (neg.f64 eps)))))
(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (log1p.f64 (.f64 #s(literal 1 binary64) eps)))
(log.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
eps
(log1p.f64 eps)
(-.f64 (log1p.f64 (*.f64 (neg.f64 eps) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (pow.f64 eps #s(literal 3 binary64))) (log1p.f64 (fma.f64 eps eps (neg.f64 eps))))
(log.f64 (-.f64 eps #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 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 (neg eps))) (log (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (+ 1 (neg eps))) (neg.f64 eps))
#s(approx (log (+ 1 (neg eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1 binary64)) eps))
#s(approx (log (+ 1 (neg eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps))
#s(approx (log (+ 1 (neg eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx eps eps)
#s(approx (log (+ 1 eps)) eps)
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal 1 binary64)) eps))
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (log (+ 1 (neg eps))) (log.f64 (neg.f64 eps)))
#s(approx (log (+ 1 (neg eps))) (-.f64 (log.f64 (neg.f64 eps)) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 (neg eps))) (+.f64 (log.f64 (neg.f64 eps)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1 binary64)) eps))))
#s(approx (log (+ 1 (neg eps))) (-.f64 (+.f64 (log.f64 (neg.f64 eps)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) #s(literal -1/2 binary64)) (*.f64 eps eps)))) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (log.f64 eps))
#s(approx (log (+ 1 eps)) (+.f64 (log.f64 eps) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (-.f64 (+.f64 (log.f64 eps) (pow.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (log (+ 1 eps)) (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -1 binary64))) (log.f64 eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal -2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (neg eps))) (neg.f64 (neg.f64 (log.f64 (neg.f64 eps)))))
#s(approx (log (+ 1 (neg eps))) (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 eps)))) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 (neg eps))) (fma.f64 (neg.f64 (log.f64 (neg.f64 eps))) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1 binary64)) eps))))
#s(approx (log (+ 1 (neg eps))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 eps))))))
#s(approx (log (+ 1 eps)) (fma.f64 (neg.f64 (log.f64 (neg.f64 eps))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (-.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 eps))) #s(literal -1 binary64) (pow.f64 eps #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) eps)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal -1 binary64) #s(literal -1 binary64)) eps)) (log.f64 #s(literal -1 binary64))))

eval8.0ms (0.2%)

Memory: -38.5MiB live, 7.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 993 to 249 computations (74.9% saved)

prune8.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Accuracy

100.0%

Counts

60 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.5%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps eps) #s(literal -2 binary64)) eps))

Status

Accuracy

Program

✓

100.0%

(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

✓

99.5%

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

Compiler

Compiled 74 to 48 computations (35.1% saved)

derivations24.0ms (0.5%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 6 to 5 computations (16.7% saved)

preprocess10.0ms (0.2%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 28 to 22 computations (21.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze3.0ms (0.1%)

sample2.9s (62.7%)

explain199.0ms (4.2%)

preprocess161.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite220.0ms (4.7%)

eval12.0ms (0.3%)

prune5.0ms (0.1%)

series5.0ms (0.1%)

rewrite225.0ms (4.8%)

eval26.0ms (0.6%)

prune679.0ms (14.5%)

series4.0ms (0.1%)

rewrite154.0ms (3.3%)

eval8.0ms (0.2%)

prune8.0ms (0.2%)

derivations24.0ms (0.5%)

preprocess10.0ms (0.2%)

end0.0ms (0%)

Profiling