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

5.1MiB live, 5.1MiB 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)

sample2.8s (89.9%)

Memory

68.8MiB live, 2 106.7MiB allocated; 1.0s collecting garbage

Samples

1.3s	3 436×	2	valid
1.2s	4 685×	1	valid
6.0ms	135×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-log: 1.5s (63.8% of total)

adjust: 579.0ms (25.2% of total)

ival-div!: 111.0ms (4.8% of total)

ival-sub!: 80.0ms (3.5% of total)

ival-add!: 62.0ms (2.7% of total)

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

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

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

Bogosity

preprocess46.0ms (1.5%)

Memory

-31.3MiB live, 13.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	50	24
2	192	24
3	919	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(negabs eps)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

6 → 26

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 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#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 (+ 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))

rewrite63.0ms (2%)

Memory

17.8MiB live, 63.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	467
0	125	430
0	792	392

Stop Event

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

Counts

32 → 52

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

eval5.0ms (0.2%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 355 to 208 computations (41.4% saved)

prune2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Accuracy

100.0%

Counts

49 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))
▶	99.8%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
▶	5.5%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))

Status

Accuracy

Program

▶

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))

▶

99.8%

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

▶

5.5%

#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))

Compiler

Compiled 29 to 29 computations (0% saved)

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

11 → 17

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#s(literal 0 binary64)
#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)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

rewrite93.0ms (3%)

Memory

-29.6MiB live, 34.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	368
0	97	342
0	526	308

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

28 → 48

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#s(literal 0 binary64)
#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)
#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 eps #s(hole binary64 eps))
#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 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 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#s(literal 0 binary64)
#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 (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) #s(literal 4 binary64)) (fma.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)) #s(literal -8 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 (.f64 eps eps) #s(literal -2/3 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)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 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 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 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(literal -2/3 binary64)
#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 eps eps)
#s(approx (+ (* (* eps eps) -2/3) -2) #s(literal -2 binary64))
#s(approx (+ (* (* eps eps) -2/3) -2) (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps)) #s(literal 0 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (.f64 (*.f64 eps eps) eps))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) eps)))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -2/3 binary64)))
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps))))
#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 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (*.f64 eps eps))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)) eps)) #s(literal 0 binary64)))

eval4.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 301 to 182 computations (39.5% saved)

prune2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	35	3	38

Accuracy

100.0%

Counts

38 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	99.8%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
✓	5.5%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))

Status

Accuracy

Program

✓

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))

✓

99.8%

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

✓

5.5%

#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#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)))

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 14 to 12 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))
#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:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
99.8%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.8%	1	`eps`

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms 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))) #s(literal 0 binary64))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(literal 0 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
5.5%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.5%	1	`eps`

Compiler

Compiled 14 to 12 computations (14.3% saved)

derivations44.0ms (1.4%)

Memory

-47.6MiB live, 1.5MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess35.0ms (1.1%)

Memory: 9.1MiB live, 52.2MiB allocated; 9ms collecting garbage
Remove: (negabs eps)
Compiler: Compiled 94 to 85 computations (9.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample2.8s (89.9%)

preprocess46.0ms (1.5%)

series4.0ms (0.1%)

rewrite63.0ms (2%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series4.0ms (0.1%)

rewrite93.0ms (3%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

derivations44.0ms (1.4%)

preprocess35.0ms (1.1%)

end0.0ms (0%)

Profiling