Metrics for logq (problem 3.4.3)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze73.0ms (1.9%)

Memory

-47.3MiB live, 4.6MiB allocated; 12ms 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)

sample2.5s (64.3%)

Memory

-32.1MiB live, 2 116.4MiB allocated; 374ms collecting garbage

Samples

1.4s	3 387×	2	valid
733.0ms	4 714×	1	valid
9.0ms	155×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 1.2s (64.8% of total)

adjust: 309.0ms (16.3% of total)

ival-div!: 137.0ms (7.2% of total)

ival-add!: 121.0ms (6.4% of total)

ival-sub!: 101.0ms (5.3% of total)

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

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

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

Bogosity

explain206.0ms (5.3%)

Memory

47.0MiB live, 422.4MiB allocated; 53ms collecting garbage

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	216×	2	valid
54.0ms	296×	1	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-log: 80.0ms (64.4% of total)

adjust: 18.0ms (14.5% of total)

ival-div!: 18.0ms (14.5% of total)

ival-add!: 4.0ms (3.2% of total)

ival-sub!: 3.0ms (2.4% of total)

preprocess167.0ms (4.3%)

Memory

-11.4MiB live, 262.5MiB allocated; 47ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(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

10.4MiB live, 10.4MiB 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))

rewrite347.0ms (8.8%)

Memory

11.2MiB live, 406.0MiB allocated; 138ms 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)))

eval11.0ms (0.3%)

Memory: 19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 448 to 366 computations (74.7% saved)

prune4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	3	97

Accuracy

100.0%

Counts

97 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
▶	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

▶

99.9%

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

Compiler

Compiled 35 to 26 computations (25.7% saved)

series8.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

13 → 57

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) 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))
(.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(literal -2/3 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
(log1p.f64 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 (* -2 eps) #s(hole binary64 (* -2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2 eps)))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 -2))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (- (* -2/3 (pow eps 2)) 2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#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 (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 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 (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -2/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 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 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#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
3.0ms	eps	@	0	((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)))
2.0ms	eps	@	inf	((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)))
2.0ms	eps	@	-inf	((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)))

Time

Variable

Point

Expression

3.0ms

eps

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

2.0ms

eps

inf

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

2.0ms

eps

-inf

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

rewrite220.0ms (5.6%)

Memory

-32.4MiB live, 256.0MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1055
0	240	957
1	1258	933
0	8168	917

Stop Event

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

Counts

70 → 113

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) 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))
(.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(literal -2/3 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
(log1p.f64 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 (* -2 eps) #s(hole binary64 (* -2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2 eps)))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 -2))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (- (* -2/3 (pow eps 2)) 2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#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 (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 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 (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -2/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 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 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#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
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#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))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (.f64 (*.f64 eps eps) #s(literal -2/3 binary64))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))))
(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))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(literal -2/3 binary64)
(/.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 (-.f64 (.f64 eps eps) (.f64 #s(literal 1 binary64) (neg.f64 eps)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 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)
(log1p.f64 eps)
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (pow.f64 eps #s(literal 3 binary64))) (log1p.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 1 binary64) eps))))
(log.f64 (+.f64 eps #s(literal 1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 (* -2 eps) (*.f64 #s(literal -2 binary64) eps))
#s(approx eps eps)
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 #s(literal -2 binary64) eps))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps))
#s(approx (+ (* (* eps eps) -2/3) -2) #s(literal -2 binary64))
#s(approx (+ (* (* eps eps) -2/3) -2) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#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 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) eps))
#s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 (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 (-.f64 (.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 (-.f64 (.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 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))) (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 eps) (+ 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 (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2/3 binary64))))
#s(approx (+ (* (* eps eps) -2/3) -2) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)))
#s(approx (+ (* (* eps eps) -2/3) -2) (neg.f64 (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2/3 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))) (-.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 eps) (+ 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))) (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))) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps)) (log.f64 #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (neg.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)) (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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) 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 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) #s(literal 1/2 binary64)) eps)) #s(literal 1 binary64)) eps)) (log.f64 #s(literal -1 binary64))))

eval11.0ms (0.3%)

Memory: 17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 364 to 465 computations (80.3% saved)

prune5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	122	3	125

Accuracy

100.0%

Counts

125 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 #s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)) (log1p.f64 eps))
✓	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))

Status

Accuracy

Program

▶

100.0%

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

✓

100.0%

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

✓

99.9%

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

12 → 59

Calls

Call 1

Inputs
(-.f64 #s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)) (log1p.f64 eps))
#s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps)
(-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
#s(literal -1/3 binary64)
eps
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(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 (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 -1))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 (- (* -1/2 eps) 1)))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 (- (* eps (- (* -1/3 eps) 1/2)) 1)))
#s(approx (* (- (* -1/3 eps) 1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (- (* -1/3 eps) 1/2) eps) #s(hole binary64 (* eps (- (* -1/3 eps) 1/2))))
#s(approx (- (* -1/3 eps) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/3 eps) 1/2) #s(hole binary64 (- (* -1/3 eps) 1/2)))
#s(approx (* -1/3 eps) #s(hole binary64 (* -1/3 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 (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* -1/3 (pow eps 3))))
#s(approx (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/3 (* 1/2 (/ 1 eps)))))))
#s(approx (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (/ (+ 1/2 (/ 1 eps)) eps)) 1/3))))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 (* -1/3 (pow eps 2))))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/3 (* 1/2 (/ 1 eps)))))))
#s(approx (- (* (- (* -1/3 eps) 1/2) eps) 1) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ 1/2 (/ 1 eps)) eps)) 1/3))))
#s(approx (* (- (* -1/3 eps) 1/2) eps) #s(hole binary64 (* -1/3 (pow eps 2))))
#s(approx (* (- (* -1/3 eps) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/3 (* 1/2 (/ 1 eps)))))))
#s(approx (- (* -1/3 eps) 1/2) #s(hole binary64 (* -1/3 eps)))
#s(approx (- (* -1/3 eps) 1/2) #s(hole binary64 (* -1 (* eps (+ 1/3 (* 1/2 (/ 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 (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/3 (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2))))))))
#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	@	-inf	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) (- (* (- (* -1/3 eps) 1/2) eps) 1) (* (- (* -1/3 eps) 1/2) eps) (- (* -1/3 eps) 1/2) (* -1/3 eps) -1/3 eps 1/2 1 (log (+ 1 eps)))
1.0ms	eps	@	inf	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) (- (* (- (* -1/3 eps) 1/2) eps) 1) (* (- (* -1/3 eps) 1/2) eps) (- (* -1/3 eps) 1/2) (* -1/3 eps) -1/3 eps 1/2 1 (log (+ 1 eps)))
1.0ms	eps	@	0	((- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (* (- (* (- (* -1/3 eps) 1/2) eps) 1) eps) (- (* (- (* -1/3 eps) 1/2) eps) 1) (* (- (* -1/3 eps) 1/2) eps) (- (* -1/3 eps) 1/2) (* -1/3 eps) -1/3 eps 1/2 1 (log (+ 1 eps)))

Time

Variable

Point

Expression

2.0ms

eps

-inf

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

1.0ms

eps

inf

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

1.0ms

eps

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

rewrite193.0ms (4.9%)

Memory

-3.6MiB live, 187.6MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1147
0	250	1060
1	1309	1036
0	8176	973

Stop Event

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

Counts

71 → 95

Calls

Call 1

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

eval11.0ms (0.3%)

Memory: -24.4MiB live, 22.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 887 to 484 computations (83.2% saved)

prune4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Accuracy

100.0%

Counts

102 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 #s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)) (log1p.f64 eps))
✓	100.0%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
✓	99.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))

Status

Accuracy

Program

✓

100.0%

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

✓

100.0%

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

✓

99.9%

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

Compiler

Compiled 112 to 72 computations (35.7% saved)

regimes5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#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))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(approx (log (+ 1 (neg eps))) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 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
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

-35.3MiB live, 9.1MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 16 to 12 computations (25% saved)

simplify59.0ms (1.5%)

Memory

7.1MiB live, 56.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29
2	23	29
3	40	29
4	80	29
5	347	29
6	3608	29
7	7705	29

Stop Event

1×	node limit

Calls

Call 1

Inputs

#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 #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))

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

derivations47.0ms (1.2%)

Memory

-7.3MiB live, 38.2MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 14 computations (51.7% saved)

preprocess17.0ms (0.4%)

Memory: 26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 86 to 50 computations (41.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze73.0ms (1.9%)

sample2.5s (64.3%)

explain206.0ms (5.3%)

preprocess167.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite347.0ms (8.8%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

series8.0ms (0.2%)

rewrite220.0ms (5.6%)

eval11.0ms (0.3%)

prune5.0ms (0.1%)

series5.0ms (0.1%)

rewrite193.0ms (4.9%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify59.0ms (1.5%)

derivations47.0ms (1.2%)

preprocess17.0ms (0.4%)

end0.0ms (0%)

Profiling