Metrics for logq (problem 3.4.3)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample3.4s (49.5%)

Memory

17.6MiB live, 3 498.4MiB allocated; 707ms collecting garbage

Samples

1.6s	3 284×	2	valid
1.4s	4 820×	1	valid
9.0ms	152×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-log: 1.4s (55.2% of total)

adjust: 480.0ms (19.1% of total)

ival-div: 241.0ms (9.6% of total)

ival-sub: 173.0ms (6.9% of total)

ival-add: 129.0ms (5.1% of total)

ival-fabs: 55.0ms (2.2% of total)

ival-<: 35.0ms (1.4% of total)

exact: 7.0ms (0.3% of total)

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

Bogosity

explain253.0ms (3.6%)

Memory

32.4MiB live, 362.3MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(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	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms	194×	2	valid
61.0ms	304×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-log: 89.0ms (67.1% of total)

adjust: 20.0ms (15.1% of total)

ival-div: 9.0ms (6.8% of total)

ival-add: 7.0ms (5.3% of total)

ival-sub: 7.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess33.0ms (0.5%)

Memory

-33.1MiB live, 20.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	14	21
2	16	21
3	18	21
4	23	21
5	25	21
6	28	21
7	31	21
8	32	21
9	36	21
10	42	21
11	48	21
12	52	21
0	6	8
0	10	8
1	16	8
0	16	8

Stop Event

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

Calls

Call 1

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

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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	16	23
0	16	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.2%)

Memory

22.0MiB live, 106.1MiB allocated; 18ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) eps)
accuracy	0.0	(+.f64 #s(literal 1 binary64) eps)
accuracy	0.0234375	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy	58.159061086506036	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

39.0ms	152×	1	valid
38.0ms	97×	2	valid
0.0ms	7×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 38.0ms (62.7% of total)

adjust: 10.0ms (16.5% of total)

ival-div: 5.0ms (8.2% of total)

ival-sub: 4.0ms (6.6% of total)

ival-add: 3.0ms (4.9% of total)

ival-true: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

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

Counts

4 → 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)
(+.f64 #s(literal 1 binary64) eps)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

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

1.0ms

eps

-inf

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

1.0ms

eps

inf

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

simplify119.0ms (1.7%)

Memory

-24.7MiB live, 125.7MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	225
1	233	221
2	626	217
3	2414	209
0	8531	205

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite172.0ms (2.5%)

Memory

30.2MiB live, 176.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	40	21
2	252	21
3	2770	8
0	9399	8

Stop Event

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

Counts

4 → 360

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps eps eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 eps eps eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #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)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) 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)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 (*.f64 eps eps) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.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 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) eps) 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 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps eps eps) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 eps eps eps) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 eps eps) #s(literal 1 binary64)))) (neg.f64 (-.f64 eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (.f64 eps (/.f64 eps (-.f64 #s(literal 1 binary64) eps))))))
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(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps eps eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 eps eps eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps eps eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 eps eps eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) eps)) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.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 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)))) eps))
(fma.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 eps eps) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #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 eps eps)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64)) (fabs.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) eps) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 eps eps eps) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (fma.f64 eps eps eps) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 eps))) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (*.f64 eps (/.f64 eps (-.f64 #s(literal 1 binary64) eps))))
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 (.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 (fma.f64 eps eps eps) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (fma.f64 eps eps eps) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.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 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)))) eps))
(+.f64 (.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 eps eps)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #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 eps eps)))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 eps)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) eps #s(literal 1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 eps))) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 eps)))
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 #s(literal 1 binary64) eps)

eval51.0ms (0.7%)

Memory: -35.4MiB live, 55.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 5 150 to 900 computations (82.5% saved)

prune6.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	197	5	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	6	203

Accuracy

100.0%

Counts

203 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	99.8%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
▶	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
▶	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps))
▶	98.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
▶	5.2%	#s(literal 0 binary64)

Compiler

Compiled 178 to 128 computations (28.1% saved)

simplify26.0ms (0.4%)

Memory

-13.4MiB live, 33.8MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	294
0	56	294
1	88	294
2	155	294
3	290	294
4	440	294
5	579	294
6	645	294
7	662	294
8	666	294
9	672	294
10	678	294
11	682	294
0	682	294

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize251.0ms (3.6%)

Memory

22.5MiB live, 165.3MiB allocated; 14ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps)
accuracy	0.17721933010102342	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
accuracy	0.19140625	(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
accuracy	0.359375	(.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.015625	(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps)
accuracy	0.18359375	(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
accuracy	0.2513535493458022	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps))
accuracy	0.0	(*.f64 #s(literal -2 binary64) eps)
accuracy	0.6878049885072766	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
accuracy	0.1328125	(.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps)
accuracy	0.1796875	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (.f64 eps eps))
accuracy	0.2109375	(.f64 #s(literal -2/7 binary64) (.f64 eps eps))
accuracy	0.34375	(.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (*.f64 eps eps)) #s(literal 2/5 binary64)) eps)

Samples

117.0ms	152×	1	valid
86.0ms	97×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 244 to 35 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 48.0ms (29.7% of total)

ival-log: 34.0ms (21% of total)

adjust: 33.0ms (20.4% of total)

const: 21.0ms (13% of total)

ival-sub: 16.0ms (9.9% of total)

ival-div: 6.0ms (3.7% of total)

ival-add: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series12.0ms (0.2%)

Memory

10.9MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

20 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	((log (/ (- 1 eps) (+ 1 eps))) (* (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) eps) (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) (log (/ (- 1 eps) (+ 1 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 eps) (+ 1 eps))) (* (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) eps) (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) (* (- (* -2/7 (* eps eps)) 2/5) eps) (* -2/7 (* eps eps)) (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) (* eps eps) (* (- (* -2/5 (* eps eps)) 2/3) eps) (* -2/5 (* eps eps)))
3.0ms	eps	@	-inf	((log (/ (- 1 eps) (+ 1 eps))) (* (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) eps) (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) (log (/ (- 1 eps) (+ 1 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 eps) (+ 1 eps))) (* (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) eps) (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) (* (- (* -2/7 (* eps eps)) 2/5) eps) (* -2/7 (* eps eps)) (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) (* eps eps) (* (- (* -2/5 (* eps eps)) 2/3) eps) (* -2/5 (* eps eps)))
3.0ms	eps	@	0	((log (/ (- 1 eps) (+ 1 eps))) (* (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) eps) (- (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) 2) (* (- (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) 2/3) (* eps eps)) (log (/ (- 1 eps) (+ 1 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 eps) (+ 1 eps))) (* (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) eps) (- (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) 2) (* (* (- (* -2/5 (* eps eps)) 2/3) eps) eps) (* (- (* -2/7 (* eps eps)) 2/5) eps) (* -2/7 (* eps eps)) (* (* (- (* -2/7 (* eps eps)) 2/5) eps) eps) (* eps eps) (* (- (* -2/5 (* eps eps)) 2/3) eps) (* -2/5 (* eps eps)))

Time

Variable

Point

Expression

5.0ms

eps

inf

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

3.0ms

eps

-inf

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

3.0ms

eps

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

simplify162.0ms (2.3%)

Memory

-19.6MiB live, 73.6MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	548
1	389	545
2	1560	526
3	6081	525
0	8261	519

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

Calls

Call 1

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

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

rewrite185.0ms (2.7%)

Memory

13.4MiB live, 103.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
0	55	246
1	184	246
2	1163	246
0	8266	238

Stop Event

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

Counts

20 → 192

Calls

Call 1

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

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps)
(.f64 eps (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) eps)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) eps) (neg.f64 eps) #s(literal -2 binary64)))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal -8/125 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/27 binary64)) (.f64 eps eps)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64) (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 eps) eps) (-.f64 (.f64 #s(literal -2/5 binary64) (.f64 eps eps)) #s(literal 2/3 binary64))))
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64)) eps)) (fma.f64 #s(literal 2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64)) eps)) (neg.f64 (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64)))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64)))) (fma.f64 #s(literal 2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64)))) (neg.f64 (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64)) eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64)) eps) (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64))))
(/.f64 (.f64 eps (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))
(/.f64 (.f64 eps (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64))) (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64))))
(.f64 (.f64 (neg.f64 eps) #s(literal -2/7 binary64)) (neg.f64 eps))
(.f64 (.f64 #s(literal -2/7 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -2/7 binary64)))
(.f64 (.f64 eps eps) #s(literal -2/7 binary64))
(.f64 #s(literal -2/7 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal -2/7 binary64) eps))
(neg.f64 (.f64 #s(literal 2/7 binary64) (.f64 eps eps)))
(.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps) eps)
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) (.f64 eps eps))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))
(.f64 eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64)) eps))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64)) (.f64 eps eps))) (fma.f64 #s(literal 2/7 binary64) (.f64 eps eps) #s(literal -2/5 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64)) (.f64 eps eps))) (neg.f64 (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/25 binary64)) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -8/343 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/125 binary64)) (.f64 eps eps)) (fma.f64 #s(literal 4/49 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal -4/35 binary64) #s(literal 4/25 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 eps) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) #s(literal 2/5 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) eps)
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps (neg.f64 (neg.f64 eps)))
(*.f64 eps eps)
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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))
(neg.f64 (*.f64 (neg.f64 eps) (neg.f64 (neg.f64 eps))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 eps) eps)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps)
(.f64 eps (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) eps)) (fma.f64 #s(literal 2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -8/125 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/27 binary64)) eps)) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)))) (fma.f64 #s(literal 2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal -8/125 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) eps) (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -8/125 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/27 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64))))
(/.f64 (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64)) #s(literal 4/9 binary64))) (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)))
(/.f64 (.f64 eps (-.f64 (.f64 #s(literal -8/125 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 8/27 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64))))
(.f64 (.f64 (neg.f64 eps) #s(literal -2/5 binary64)) (neg.f64 eps))
(.f64 (.f64 #s(literal -2/5 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -2/5 binary64)))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(.f64 eps (.f64 #s(literal -2/5 binary64) eps))
(neg.f64 (.f64 #s(literal 2/5 binary64) (.f64 eps eps)))

eval55.0ms (0.8%)

Memory: 2.9MiB live, 48.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 191 to 1 750 computations (86.7% saved)

prune7.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	310	2	312
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	311	7	318

Accuracy

100.0%

Counts

318 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
▶	99.6%	#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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
✓	98.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
✓	5.2%	#s(literal 0 binary64)

Compiler

Compiled 117 to 84 computations (28.2% saved)

simplify167.0ms (2.4%)

Memory

-50.6MiB live, 69.3MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	33	116
1	57	116
2	108	116
3	235	116
4	465	116
5	633	116
6	696	116
7	749	116
8	788	116
9	858	116
10	942	116
11	1171	116
12	1469	116
13	1624	116
14	1831	116
15	2133	116
16	2476	116
17	2600	116
18	2638	116
19	2788	116
20	2805	116
21	2807	116
22	2807	116
23	2915	116
24	3124	116
0	3124	116

Stop Event

1×	iter limit
1×	saturated
1×	iter 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))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps)
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal 4/9 binary64)
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2 binary64)

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 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (/.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 (/.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps)
(.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) eps)
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64))
(-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))
(*.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal 4/9 binary64)
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2 binary64)

localize146.0ms (2.1%)

Memory

-10.9MiB live, 175.8MiB allocated; 17ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 eps eps)
accuracy	0.00390625	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
accuracy	0.13347626953688402	(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))
accuracy	0.2513535493458022	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
accuracy	0.0	(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.015625	(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
accuracy	0.2513535493458022	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))

Samples

75.0ms	97×	2	valid
53.0ms	152×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 96 to 24 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 37.0ms (33.8% of total)

adjust: 27.0ms (24.7% of total)

ival-div: 9.0ms (8.2% of total)

ival-mult: 9.0ms (8.2% of total)

ival-sub: 8.0ms (7.3% of total)

const: 7.0ms (6.4% of total)

ival-add: 7.0ms (6.4% of total)

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

exact: 1.0ms (0.9% of total)

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

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

series7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

9 → 25

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))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps)
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))

Outputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(pow eps 2)
(* -4 eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
-4
(- (* 4/9 (pow eps 4)) 4)
(* 4/9 (pow eps 4))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* 4/9 (pow eps 5))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

eps

inf

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (* (pow eps 4) 4/9))

2.0ms

eps

-inf

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (* (pow eps 4) 4/9))

2.0ms

eps

((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (* (pow eps 4) 4/9))

simplify75.0ms (1.1%)

Memory

-6.4MiB live, 86.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	204
1	199	201
2	638	201
3	2506	201
0	8422	194

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(pow eps 2)
(* -4 eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
-4
(- (* 4/9 (pow eps 4)) 4)
(* 4/9 (pow eps 4))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* 4/9 (pow eps 5))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps)
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* -4 eps)
(*.f64 #s(literal -4 binary64) eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64)) eps)
-4
#s(literal -4 binary64)
(- (* 4/9 (pow eps 4)) 4)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64))
(* 4/9 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(* 4/9 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 4/9 binary64))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/9 binary64))) (pow.f64 eps #s(literal 5 binary64)))

rewrite212.0ms (3.1%)

Memory

11.0MiB live, 286.2MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	96
0	33	96
1	134	82
2	810	82
0	8578	78

Stop Event

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

Counts

9 → 335

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))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps)
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) eps) (-.f64 (.f64 #s(literal 16/81 binary64) (pow.f64 eps #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) eps) (fma.f64 #s(literal 64/729 binary64) (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16/81 binary64) (pow.f64 eps #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (-.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 eps (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64))) (-.f64 (.f64 #s(literal 16/81 binary64) (pow.f64 eps #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps)))))
(.f64 (/.f64 (.f64 eps (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 64/729 binary64) (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16/81 binary64) (pow.f64 eps #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (-.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) eps) (-.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 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 #s(literal -4/3 binary64) (.f64 eps eps)))))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) #s(literal 1 binary64)) eps)
(.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) eps) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64))) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64)) (/.f64 eps (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))
(.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 eps (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)) eps)
(.f64 eps (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64))))
(.f64 eps (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))) eps) (fma.f64 #s(literal 2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -8 binary64))) eps) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))
(/.f64 (.f64 eps (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))))) (fma.f64 #s(literal 2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)))
(/.f64 (.f64 eps (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 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 #s(literal 4/3 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))) (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -2 binary64) eps))) (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 #s(literal -2 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -2 binary64) eps)) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))) (.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps #s(literal -2 binary64)))) (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -2 binary64) eps)) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 #s(literal -2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))) (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (-.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -2 binary64))))))
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eval50.0ms (0.7%)

Memory: 6.3MiB live, 97.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 807 to 1 586 computations (87.6% saved)

prune8.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	371	8	379

Accuracy

100.0%

Counts

379 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
▶	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
✓	99.6%	#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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
✓	98.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
✓	5.2%	#s(literal 0 binary64)

Compiler

Compiled 138 to 99 computations (28.3% saved)

simplify126.0ms (1.8%)

Memory

-18.9MiB live, 32.6MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2/3 binary64) eps)
cost-diff	0	(*.f64 eps eps)
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
cost-diff	2	(fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
cost-diff	0	(.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps)
cost-diff	0	(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	119
0	34	119
1	62	117
2	135	117
3	325	117
4	581	117
5	659	117
6	727	117
7	776	117
8	816	117
9	876	117
10	1099	117
11	1401	117
12	1556	117
13	1763	117
14	2065	117
15	2375	117
16	2453	117
17	2477	117
18	2627	117
19	2645	117
20	2647	117
21	2647	117
22	2755	117
23	2964	117
0	2964	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps)
#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
#s(literal -4 binary64)
eps
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps eps)
eps
(*.f64 #s(literal -2/3 binary64) eps)
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (/.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 (/.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64)))
(.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps)
#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
#s(literal -4 binary64)
eps
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2/3 binary64) eps)
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)

localize160.0ms (2.3%)

Memory

-5.0MiB live, 226.7MiB allocated; 32ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 eps eps)
accuracy	0.0	(*.f64 eps #s(literal -2 binary64))
accuracy	0.2513535493458022	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
accuracy	0.34375	(*.f64 #s(literal -2/3 binary64) eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.00390625	(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
accuracy	0.2486053735952857	#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
accuracy	0.2513535493458022	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))

Samples

67.0ms	97×	2	valid
67.0ms	152×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 88 to 26 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-log: 34.0ms (30.7% of total)

adjust: 31.0ms (28% of total)

ival-mult: 14.0ms (12.6% of total)

ival-sub: 8.0ms (7.2% of total)

const: 7.0ms (6.3% of total)

ival-div: 6.0ms (5.4% of total)

ival-add: 6.0ms (5.4% of total)

ival-pow: 4.0ms (3.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series7.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

9 → 22

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps)
#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
(*.f64 eps eps)
(*.f64 #s(literal -2/3 binary64) eps)
(*.f64 eps #s(literal -2 binary64))

Outputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -4 eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
-4
(- (* 4/9 (pow eps 4)) 4)
(pow eps 2)
(* -2/3 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* 4/9 (pow eps 5))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(* 4/9 (pow eps 4))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

eps

-inf

((log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (+ (* (* eps eps) (* -2/3 eps)) (* eps -2)) (log (/ (- 1 eps) (+ 1 eps))) (* eps eps) (* -2/3 eps) (* eps -2))

2.0ms

eps

inf

((log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (+ (* (* eps eps) (* -2/3 eps)) (* eps -2)) (log (/ (- 1 eps) (+ 1 eps))) (* eps eps) (* -2/3 eps) (* eps -2))

1.0ms

eps

((log (/ (- 1 eps) (+ 1 eps))) (/ (* (- (* (pow eps 4) 4/9) 4) eps) (+ (* -2/3 (* eps eps)) 2)) (* (- (* (pow eps 4) 4/9) 4) eps) (- (* (pow eps 4) 4/9) 4) (+ (* (* eps eps) (* -2/3 eps)) (* eps -2)) (log (/ (- 1 eps) (+ 1 eps))) (* eps eps) (* -2/3 eps) (* eps -2))

simplify103.0ms (1.5%)

Memory

-7.9MiB live, 134.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	187
1	188	184
2	564	184
3	2210	184
0	9001	179

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -4 eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
-4
(- (* 4/9 (pow eps 4)) 4)
(pow eps 2)
(* -2/3 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* 4/9 (pow eps 5))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(* 4/9 (pow eps 4))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps)
(* -4 eps)
(*.f64 #s(literal -4 binary64) eps)
(* eps (- (* 4/9 (pow eps 4)) 4))
(*.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -4 binary64)) eps)
-4
#s(literal -4 binary64)
(- (* 4/9 (pow eps 4)) 4)
(fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -4 binary64))
(pow eps 2)
(*.f64 eps eps)
(* -2/3 eps)
(*.f64 #s(literal -2/3 binary64) eps)
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* 4/9 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 4/9 binary64))
(* (pow eps 5) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* 4/9 (pow eps 4))
(*.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- 4/9 (* 4 (/ 1 (pow eps 4)))))
(fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -4 binary64))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* 4 (/ 1 (pow eps 4))) 4/9)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4/9 binary64))) (pow.f64 eps #s(literal 5 binary64)))

rewrite173.0ms (2.5%)

Memory

14.2MiB live, 204.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	103
0	34	103
1	133	101
2	881	101
0	8838	95

Stop Event

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

Counts

9 → 154

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)))
(.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps)
#s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
(*.f64 eps eps)
(*.f64 #s(literal -2/3 binary64) eps)
(*.f64 eps #s(literal -2 binary64))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (/.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64))))
(.f64 (.f64 #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64)) (/.f64 eps (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64)))) (-.f64 (.f64 (*.f64 #s(literal -2/3 binary64) eps) eps) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64)) (/.f64 eps (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -8/27 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 #s(literal -4/3 binary64) (.f64 eps eps)))))
(.f64 (/.f64 (.f64 #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 4 binary64))) (-.f64 (.f64 (*.f64 #s(literal -2/3 binary64) eps) eps) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(approx (- (* (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -8/27 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 #s(literal -4/3 binary64) (.f64 eps eps)))))
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(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) eps)) (.f64 eps eps)))
(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 eps (fma.f64 (.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))))
(*.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 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2/3 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) eps)
(*.f64 eps #s(literal -2/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) eps))
(.f64 (.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) eps))
(neg.f64 (*.f64 #s(literal 2 binary64) eps))

eval26.0ms (0.4%)

Memory: -7.2MiB live, 37.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 081 to 683 computations (88.8% saved)

prune7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	188	8	196

Accuracy

100.0%

Counts

196 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
✓	99.6%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
✓	99.6%	#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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
✓	99.7%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
✓	98.9%	#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
✓	5.2%	#s(literal 0 binary64)

Compiler

Compiled 319 to 167 computations (47.6% saved)

regimes8.0ms (0.1%)

Memory

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

Counts

10 → 1

Calls

Call 1

Inputs
#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))
#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))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) eps) eps) #s(literal 2/3 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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 16 to 12 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-34.6MiB live, 10.9MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#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))
#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))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))

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

Calls

3 calls:

7.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

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

Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

Inputs
#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))
#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))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#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))
#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))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
99.6%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.6%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
98.9%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
98.9%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-39.8MiB live, 6.3MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

5.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	eps
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
5.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
5.2%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.2%	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify11.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	66	130
2	76	130
3	79	130

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) 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 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)

Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/7 binary64) (.f64 eps eps)) #s(literal 2/5 binary64)) 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 #s(literal -2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps) #s(literal 2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (/.f64 (.f64 #s(approx (- ( (pow eps 4) 4/9) 4) #s(literal -4 binary64)) eps) (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (.f64 eps eps) (.f64 #s(literal -2/3 binary64) eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)

derivations684.0ms (9.8%)

Memory

16.7MiB live, 395.4MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	548
1	389	545
2	1560	526
3	6081	525
0	8261	519
0	22	96
0	33	96
1	134	82
2	810	82
0	8578	78
0	36	246
0	55	246
1	184	246
2	1163	246
0	8266	238
0	6	21
0	10	21
1	40	21
2	252	21
3	2770	8
0	9399	8
0	77	204
1	199	201
2	638	201
3	2506	201
0	8422	194
0	89	225
1	233	221
2	626	217
3	2414	209
0	8531	205

Stop Event

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

Compiler

Compiled 130 to 51 computations (60.8% saved)

preprocess74.0ms (1.1%)

Memory: -6.1MiB live, 88.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 288 to 124 computations (56.9% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	8	21
1	14	21
2	16	21
3	18	21
4	23	21
5	25	21
6	28	21
7	31	21
8	32	21
9	36	21
10	42	21
11	48	21
12	52	21
0	6	8
0	10	8
1	16	8
0	16	8

Iter	Nodes	Cost
0	37	294
0	56	294
1	88	294
2	155	294
3	290	294
4	440	294
5	579	294
6	645	294
7	662	294
8	666	294
9	672	294
10	678	294
11	682	294
0	682	294

Iter	Nodes	Cost
0	8	21
1	14	21
2	16	21
3	18	21
4	23	21
5	25	21
6	28	21
7	31	21
8	32	21
9	36	21
10	42	21
11	48	21
12	52	21
0	6	8
0	10	8
1	16	8
0	16	8

Iter	Nodes	Cost
0	37	294
0	56	294
1	88	294
2	155	294
3	290	294
4	440	294
5	579	294
6	645	294
7	662	294
8	666	294
9	672	294
10	678	294
11	682	294
0	682	294

start0.0ms (0%)

analyze3.0ms (0%)

sample3.4s (49.5%)

explain253.0ms (3.6%)

preprocess33.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize85.0ms (1.2%)

series3.0ms (0%)

simplify119.0ms (1.7%)

rewrite172.0ms (2.5%)

eval51.0ms (0.7%)

prune6.0ms (0.1%)

simplify26.0ms (0.4%)

localize251.0ms (3.6%)

series12.0ms (0.2%)

simplify162.0ms (2.3%)

rewrite185.0ms (2.7%)

eval55.0ms (0.8%)

prune7.0ms (0.1%)

simplify167.0ms (2.4%)

localize146.0ms (2.1%)

series7.0ms (0.1%)

simplify75.0ms (1.1%)

rewrite212.0ms (3.1%)

eval50.0ms (0.7%)

prune8.0ms (0.1%)

simplify126.0ms (1.8%)

localize160.0ms (2.3%)

series7.0ms (0.1%)

simplify103.0ms (1.5%)

rewrite173.0ms (2.5%)

eval26.0ms (0.4%)

prune7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

simplify11.0ms (0.2%)

derivations684.0ms (9.8%)

preprocess74.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
1	14	21
2	16	21
3	18	21
4	23	21
5	25	21
6	28	21
7	31	21
8	32	21
9	36	21
10	42	21
11	48	21
12	52	21
0	6	8
0	10	8
1	16	8
0	16	8

Iter	Nodes	Cost
0	37	294
0	56	294
1	88	294
2	155	294
3	290	294
4	440	294
5	579	294
6	645	294
7	662	294
8	666	294
9	672	294
10	678	294
11	682	294
0	682	294