Metrics for logq (problem 3.4.3)

analyze4.0ms (0%)

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 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (53.6% of total)

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample2.6s (30.1%)

Results

1.5s	6118×	1	valid
705.0ms	1932×	2	valid
14.0ms	206×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 986.0ms (54.6% of total)

backward-pass: 172.0ms (9.5% of total)

ival-div: 166.0ms (9.2% of total)

ival-sub: 148.0ms (8.2% of total)

ival-add: 135.0ms (7.5% of total)

ival-<: 117.0ms (6.5% of total)

ival-fabs: 66.0ms (3.7% of total)

const: 14.0ms (0.8% of total)

Bogosity

preprocess66.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1012×	`fnmadd-define`
784×	`sum3-define`
630×	`fma-define`
516×	`fmsub-define`
512×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	30	25
2	56	25
3	129	25
4	290	25
5	716	25
6	2022	25
7	3028	25
8	3348	25
0	6	8
1	14	8
2	21	8
3	33	8
4	59	8
5	105	8
6	177	8
7	285	8
8	656	8
9	1209	8
10	1696	8
11	1716	8
0	1716	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain167.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`eps`
0	-	-	`(+.f64 #s(literal 1 binary64) eps)`

Results

91.0ms	402×	1	valid
43.0ms	102×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-log: 61.0ms (64% of total)

backward-pass: 10.0ms (10.5% of total)

ival-div: 9.0ms (9.4% of total)

ival-sub: 8.0ms (8.4% of total)

ival-add: 6.0ms (6.3% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

446×	`fnmadd-define`
400×	`sum3-define`
324×	`fma-define`
294×	`fmsub-define`
282×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
1	14	23
2	21	23
3	33	23
4	59	23
5	105	23
6	177	23
7	285	23
8	656	23
9	1209	23
10	1696	23
11	1716	23
0	1716	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize80.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	8.3%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

47.0ms	201×	1	valid
18.0ms	51×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 27.0ms (61.6% of total)

backward-pass: 5.0ms (11.4% of total)

ival-div: 4.0ms (9.1% of total)

ival-sub: 4.0ms (9.1% of total)

ival-add: 3.0ms (6.8% of total)

const: 1.0ms (2.3% of total)

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (/ (- 1 eps) (+ 1 eps)))>
#<alt (/ (- 1 eps) (+ 1 eps))>
#<alt (- 1 eps)>
#<alt (+ 1 eps)>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(/ (- 1 eps) (+ 1 eps))
0.0ms	eps	@	-inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(- 1 eps)

rewrite268.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2314×	`-lowering-.f32`
2314×	`-lowering-.f64`
2312×	`/-lowering-/.f32`
2312×	`/-lowering-/.f64`
1358×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	40	19
2	340	19
3	4799	19
0	8435	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 468

Calls

Call 1

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

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

simplify206.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2306×	`fma-lowering-fma.f32`
2306×	`fma-lowering-fma.f64`
1700×	`fnmadd-define`
1676×	`fmsub-define`
1562×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	287
1	252	267
2	606	260
3	1624	256
4	4079	256
0	8239	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

eval82.0ms (1%)

Compiler: Compiled 12469 to 1703 computations (86.3% saved)

prune75.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	510	6	516
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	510	7	517

Accuracy

100.0%

Counts

517 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
▶	99.8%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
▶	99.7%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
▶	99.6%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
▶	99.3%	(*.f64 #s(literal -2 binary64) eps)
	8.3%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓	8.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 159 to 104 computations (34.6% saved)

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64))))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (.f64 eps eps)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) eps)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 eps eps))
✓	cost-diff	0	(log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
✓	cost-diff	6400	(+.f64 (log1p.f64 eps) (log1p.f64 eps))
✓	cost-diff	6400	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))

Rules

2516×	`fma-lowering-fma.f32`
2516×	`fma-lowering-fma.f64`
2276×	`sum3-define`
1642×	`-lowering-.f32`
1642×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	224
1	109	204
2	331	203
3	827	203
4	1489	203
5	2204	203
6	4739	203
7	6072	203
8	7886	203
0	8290	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))
(log (+ 1 (- 0 (* eps eps))))
(- 0 (* eps eps))
0
(* eps eps)
eps
(+ (log (+ 1 eps)) (log (+ 1 eps)))
(log (+ 1 eps))
(* -2 eps)
-2
eps
(* eps (+ -2 (* -2/3 (* eps eps))))
eps
(+ -2 (* -2/3 (* eps eps)))
-2
(* -2/3 (* eps eps))
-2/3
(* eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
-2
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(* eps eps)
(+ -2/3 (* (* eps eps) -2/5))
-2/3
(* (* eps eps) -2/5)
-2/5
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
-2
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(* eps eps)
(+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))
-2/3
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(+ -2/5 (* eps (* eps -2/7)))
-2/5
(* eps (* eps -2/7))
(* eps -2/7)
-2/7

Outputs
(- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (log1p.f64 eps) #s(literal -2 binary64)))
(log (+ 1 (- 0 (* eps eps))))
(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(- 0 (* eps eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps eps))
0
#s(literal 0 binary64)
(* eps eps)
(*.f64 eps eps)
eps
(+ (log (+ 1 eps)) (log (+ 1 eps)))
(*.f64 (log1p.f64 eps) #s(literal 2 binary64))
(log (+ 1 eps))
(log1p.f64 eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
-2
#s(literal -2 binary64)
eps
(* eps (+ -2 (* -2/3 (* eps eps))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
eps
(+ -2 (* -2/3 (* eps eps)))
(+.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps #s(literal -2/3 binary64))))
-2
#s(literal -2 binary64)
(* -2/3 (* eps eps))
(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
-2/3
#s(literal -2/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))))
-2
#s(literal -2 binary64)
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
(* eps eps)
(*.f64 eps eps)
(+ -2/3 (* (* eps eps) -2/5))
(+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))
-2/3
#s(literal -2/3 binary64)
(* (* eps eps) -2/5)
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
-2/5
#s(literal -2/5 binary64)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64))))))))
-2
#s(literal -2 binary64)
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))))
(* eps eps)
(*.f64 eps eps)
(+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))
(+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64))))))
-2/3
#s(literal -2/3 binary64)
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))
(+ -2/5 (* eps (* eps -2/7)))
(+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64))))
-2/5
#s(literal -2/5 binary64)
(* eps (* eps -2/7))
(.f64 eps (.f64 eps #s(literal -2/7 binary64)))
(* eps -2/7)
(*.f64 eps #s(literal -2/7 binary64))
-2/7
#s(literal -2/7 binary64)

localize514.0ms (6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 eps (.f64 eps #s(literal -2/7 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))))
✓	accuracy	99.7%	(*.f64 eps #s(literal -2/7 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (.f64 eps eps)))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	accuracy	99.8%	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
✓	accuracy	100.0%	(log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))

Results

291.0ms	117×	5	exit
138.0ms	133×	1	valid
3.0ms	2×	2	valid
2.0ms	1×	4	valid
1.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 231 to 30 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

compiled-spec: 116.0ms (29.5% of total)

ival-log: 98.0ms (24.9% of total)

ival-mult: 63.0ms (16% of total)

backward-pass: 51.0ms (13% of total)

ival-add: 35.0ms (8.9% of total)

...c/correct-round.rkt:119:19: 21.0ms (5.3% of total)

ival-sub: 7.0ms (1.8% of total)

const: 2.0ms (0.5% of total)

series16.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))>
#<alt (+ (log (+ 1 eps)) (log (+ 1 eps)))>
#<alt (log (+ 1 (- 0 (* eps eps))))>
#<alt (- 0 (* eps eps))>
#<alt (* -2 eps)>
#<alt (* eps (+ -2 (* -2/3 (* eps eps))))>
#<alt (+ -2 (* -2/3 (* eps eps)))>
#<alt (* -2/3 (* eps eps))>
#<alt (* eps eps)>
#<alt (* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))>
#<alt (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))>
#<alt (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))>
#<alt (* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))>
#<alt (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))>
#<alt (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))>
#<alt (log (+ 1 eps))>
#<alt (* (* eps eps) -2/5)>
#<alt (+ -2/3 (* (* eps eps) -2/5))>
#<alt (* eps -2/7)>
#<alt (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))>
#<alt (* eps (* eps -2/7))>

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
1.0ms	eps	@	-inf	(- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))
1.0ms	eps	@	0	(- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))
0.0ms	eps	@	inf	(* eps (+ -2 (* -2/3 (* eps eps))))
0.0ms	eps	@	inf	(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))

rewrite295.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2828×	`fma-lowering-fma.f32`
2828×	`fma-lowering-fma.f64`
2714×	`-lowering-.f32`
2714×	`-lowering-.f64`
1934×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	180
1	238	159
2	2300	155
0	8721	155

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 494

Calls

Call 1

Inputs
(- (log (+ 1 (- 0 (* eps eps)))) (+ (log (+ 1 eps)) (log (+ 1 eps))))
(+ (log (+ 1 eps)) (log (+ 1 eps)))
(log (+ 1 (- 0 (* eps eps))))
(- 0 (* eps eps))
(* -2 eps)
(* eps (+ -2 (* -2/3 (* eps eps))))
(+ -2 (* -2/3 (* eps eps)))
(* -2/3 (* eps eps))
(* eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(log (+ 1 eps))
(* (* eps eps) -2/5)
(+ -2/3 (* (* eps eps) -2/5))
(* eps -2/7)
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(* eps (* eps -2/7))

Outputs
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
(log.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(+.f64 (log1p.f64 (*.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (log1p.f64 (*.f64 eps eps)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps))) (log1p.f64 eps))
(-.f64 (log1p.f64 (*.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log1p.f64 eps))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (log1p.f64 (*.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (log1p.f64 (*.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 (log1p.f64 eps) #s(literal 2 binary64) (log1p.f64 (*.f64 eps eps)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))
(fma.f64 #s(literal 2 binary64) (log1p.f64 eps) (log1p.f64 (*.f64 eps eps)))
(fma.f64 #s(literal 2 binary64) (neg.f64 (log1p.f64 eps)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 #s(literal 2 binary64) (.f64 (log1p.f64 eps) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log1p.f64 (.f64 eps eps)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)))) (log1p.f64 (.f64 eps eps)))
(fma.f64 #s(literal 8 binary64) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (log1p.f64 (*.f64 eps eps)))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (log1p.f64 eps) (log1p.f64 (.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (+.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (log1p.f64 (.f64 eps eps)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
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(-.f64 (log1p.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (.f64 (.f64 eps eps) (.f64 eps eps))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(-.f64 (log.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64))) (log.f64 (-.f64 eps #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps eps))))))
(log1p.f64 eps)
(.f64 eps (.f64 eps #s(literal -2/5 binary64)))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -2/5 binary64)) eps)
(+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))
(+.f64 #s(literal -2/3 binary64) (neg.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
(+.f64 #s(literal -2/3 binary64) (.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 eps #s(literal -2/5 binary64))))
(+.f64 #s(literal -2/3 binary64) (.f64 #s(literal 2/5 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(-.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))
(-.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))) (/.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 (*.f64 eps #s(literal -2/5 binary64)) eps #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/15 binary64) (.f64 eps eps)))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) (neg.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 #s(literal 4/9 binary64) (+.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 #s(literal 4/15 binary64) (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 4/9 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))) (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -8/27 binary64) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))))
(.f64 (-.f64 #s(literal 4/9 binary64) (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(*.f64 eps #s(literal -2/7 binary64))
(*.f64 #s(literal -2/7 binary64) eps)
(+.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 eps (.f64 (.f64 eps #s(literal -2/7 binary64)) (.f64 eps eps)) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 eps eps) #s(literal -2/5 binary64) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 (.f64 eps #s(literal -2/7 binary64)) (.f64 eps (.f64 eps eps)) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -2/7 binary64)) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -2/7 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 eps #s(literal -2/5 binary64)) eps (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) eps) eps (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/7 binary64))) eps (.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -8/343 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4/25 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/5 binary64)) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -8/343 binary64)))) (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64)))) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -8/343 binary64))) (.f64 eps eps)) (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64))) (.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
(.f64 eps (.f64 eps (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
(.f64 (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) eps)
(.f64 eps (.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 (.f64 eps #s(literal -2/7 binary64)) eps)

simplify314.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3956×	`-lowering-.f32`
3956×	`-lowering-.f64`
3038×	`+-lowering-+.f64`
3038×	`+-lowering-+.f32`
1876×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2178
1	808	2124
2	2645	2060
0	8459	2060

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval124.0ms (1.5%)

Compiler: Compiled 21096 to 2547 computations (87.9% saved)

prune312.0ms (3.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	996	3	999
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	997	9	1006

Accuracy

100.0%

Counts

1006 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
▶	99.6%	(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
▶	99.8%	(.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) #s(literal -2 binary64))))
✓	99.8%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
✓	99.7%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
✓	99.6%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	99.3%	(*.f64 #s(literal -2 binary64) eps)
▶	8.3%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓	8.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 133 to 85 computations (36.1% saved)

simplify165.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
✓	cost-diff	0	(+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (*.f64 eps eps)))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal -2/3 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/3 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal -2/3 binary64))
✓	cost-diff	0	(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
✓	cost-diff	256	(+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))) #s(literal -2 binary64)))
✓	cost-diff	256	(.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) #s(literal -2 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))

Rules

3216×	`sum5-define`
2808×	`sum4-define`
2328×	`sum3-define`
2078×	`fma-define`
2050×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	263
1	85	243
2	256	242
3	699	238
4	1317	238
5	1849	238
6	1985	238
7	2178	238
8	4157	238
9	5096	238
10	5208	238
11	5358	238
12	5701	238
0	8005	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize340.0ms (4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -2/7 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/3 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -2/3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -2/7 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
✓	accuracy	8.3%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))

Results

173.0ms	175×	1	valid
98.0ms	74×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 290 to 30 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 43.0ms (24% of total)

ival-log: 36.0ms (20.1% of total)

ival-neg: 30.0ms (16.7% of total)

backward-pass: 23.0ms (12.8% of total)

...c/correct-round.rkt:119:19: 20.0ms (11.1% of total)

ival-add: 18.0ms (10% of total)

ival-div: 5.0ms (2.8% of total)

ival-sub: 3.0ms (1.7% of total)

const: 1.0ms (0.6% of total)

series8.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (log (/ (+ 1 eps) (- 1 eps)))>
#<alt (/ (+ 1 eps) (- 1 eps))>
#<alt (+ 1 eps)>
#<alt (- 1 eps)>
#<alt (* eps (+ (* eps (* eps -2/3)) (+ (* eps (* eps (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7))))) -2)))>
#<alt (+ (* eps (* eps -2/3)) (+ (* eps (* eps (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7))))) -2))>
#<alt (* eps (* eps -2/3))>
#<alt (* eps -2/3)>
#<alt (+ (* (* eps eps) (* eps -2/3)) (* eps -2))>
#<alt (* (* eps eps) (* eps -2/3))>
#<alt (* eps eps)>
#<alt (+ (* (+ -2/3 (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7)))) (* eps (* eps eps))) (* eps -2))>
#<alt (* (+ -2/3 (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7)))) (* eps (* eps eps)))>
#<alt (+ -2/3 (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7))))>
#<alt (* (* eps eps) (+ -2/5 (* (* eps eps) -2/7)))>
#<alt (neg (log (/ (+ 1 eps) (- 1 eps))))>
#<alt (* (* eps eps) -2/7)>
#<alt (* eps -2)>
#<alt (* eps (* eps eps))>

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log (/ (+ 1 eps) (- 1 eps)))
0.0ms	eps	@	inf	(+ (* (* eps eps) (* eps -2/3)) (* eps -2))
0.0ms	eps	@	-inf	(* eps (* eps eps))
0.0ms	eps	@	-inf	(* eps -2/3)
0.0ms	eps	@	0	(+ (* (* eps eps) (* eps -2/3)) (* eps -2))

rewrite665.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3396×	`-lowering-.f32`
3396×	`-lowering-.f64`
2754×	`/-lowering-/.f32`
2754×	`/-lowering-/.f64`
2146×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	190	150
2	1765	148
0	8353	148

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 538

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (log1p.f64 eps) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (log1p.f64 eps))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log1p.f64 eps) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 eps #s(literal 1 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
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(+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))
(+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (-.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))) (/.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (-.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))))
(fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 eps (.f64 (.f64 eps #s(literal -2/7 binary64)) (.f64 eps eps)) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 (.f64 eps eps) #s(literal -2/5 binary64) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 #s(literal -2/5 binary64) (.f64 eps eps) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 #s(literal -2/7 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (.f64 eps eps) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -2/7 binary64)) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -2/7 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(fma.f64 (.f64 #s(literal -2/5 binary64) eps) eps (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) eps) eps (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))) (-.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))))) (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64)))) (+.f64 #s(literal -2/5 binary64) (.f64 #s(literal 2/7 binary64) (.f64 eps eps))))
(/.f64 (.f64 (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)))) (.f64 eps eps)) (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64))) (.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (.f64 #s(literal 2/7 binary64) (.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))))) (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))))) (neg.f64 (-.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)))))) (neg.f64 (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64))))) (neg.f64 (+.f64 #s(literal -2/5 binary64) (.f64 #s(literal 2/7 binary64) (.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64)))) (.f64 eps eps))) (neg.f64 (+.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -2/7 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/49 binary64))) (.f64 eps eps))) (neg.f64 (+.f64 #s(literal -2/5 binary64) (.f64 #s(literal 2/7 binary64) (.f64 eps eps)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/343 binary64))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 #s(literal -8/125 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))
(.f64 (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))) eps)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (log1p.f64 (*.f64 eps (-.f64 eps #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log1p.f64 eps))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps))) (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) eps))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps))))))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(.f64 eps (.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 (.f64 eps #s(literal -2/7 binary64)) eps)
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps eps)))
(.f64 eps (.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))

simplify275.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3788×	`-lowering-.f32`
3788×	`-lowering-.f64`
1468×	`+-lowering-+.f64`
1468×	`+-lowering-+.f32`
1334×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1701
1	506	1660
2	1585	1618
3	4894	1616
0	8308	1616

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* eps (+ 2 (* 2/3 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 eps eps))))
(* eps (+ 2 (* (pow eps 2) (+ 2/3 (* 2/5 (pow eps 2))))))
(.f64 eps (+.f64 #s(literal 2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/5 binary64))))))
(* eps (+ 2 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 2/5 (* 2/7 (pow eps 2))))))))
(.f64 eps (+.f64 #s(literal 2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/5 binary64) (.f64 (*.f64 eps eps) #s(literal 2/7 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) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (.f64 eps (.f64 eps eps))))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (+ (* 2 (/ 1 eps)) (* 2/5 (/ 1 (pow eps 5))))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) eps)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (/.f64 #s(literal 2/3 binary64) (.f64 eps (.f64 eps eps))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 eps eps))) (.f64 eps eps))) eps))
1
#s(literal 1 binary64)
(+ 1 (* 2 eps))
(+.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(+ 1 (* eps (+ 2 (* 2 eps))))
(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) eps))))
(+ 1 (* eps (+ 2 (* eps (+ 2 (* 2 eps))))))
(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 2 binary64) (.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) eps))))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 eps))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) (pow eps 2))) (+ 1 (* 2 (/ 1 eps))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) eps)) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 eps))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 eps)) (/ 2 (pow eps 2)))) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) eps)) eps) #s(literal -2 binary64)) eps))
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (*.f64 eps eps) #s(literal -2/3 binary64))))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -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 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (/.f64 #s(literal 2/3 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64)))))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64)))))))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -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 #s(literal -2 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -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 #s(literal -2 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
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(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))

eval153.0ms (1.8%)

Compiler: Compiled 33365 to 2375 computations (92.9% saved)

prune88.0ms (1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	964	0	964
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	964	9	973

Accuracy

100.0%

Counts

973 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
✓	99.6%	(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
✓	99.8%	(.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) #s(literal -2 binary64))))
✓	99.8%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
✓	99.7%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
✓	99.6%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	99.3%	(*.f64 #s(literal -2 binary64) eps)
✓	8.3%	(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓	8.2%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 270 to 139 computations (48.5% saved)

regimes10.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) #s(literal -2 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))

Outputs
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes12.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	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
99.8%	1	`eps`
99.8%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.8%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.7%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal -2 binary64) eps)

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

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

Outputs
(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 #s(literal -2 binary64) eps)

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.3%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
30×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	93
1	74	93
2	85	93
3	93	93
4	97	93
5	98	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 #s(literal -2 binary64) eps)

Outputs
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 (.f64 eps eps) #s(literal -2/7 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (*.f64 eps eps) #s(literal -2/3 binary64))))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))

soundness1.4s (16.5%)

Rules

2828×	`fma-lowering-fma.f32`
2828×	`fma-lowering-fma.f64`
2714×	`-lowering-.f32`
2714×	`-lowering-.f64`
2314×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	287
1	252	267
2	606	260
3	1624	256
4	4079	256
0	8239	256
0	6	21
1	40	19
2	340	19
3	4799	19
0	8435	19
0	32	180
1	238	159
2	2300	155
0	8721	155

Stop Event

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

Compiler

Compiled 163 to 85 computations (47.9% saved)

preprocess52.0ms (0.6%)

Compiler: Compiled 222 to 100 computations (55% saved)

logq (problem 3.4.3)

analyze4.0ms (0%)

sample2.6s (30.1%)

preprocess66.0ms (0.8%)

explain167.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.4%)

localize80.0ms (0.9%)

series3.0ms (0%)

rewrite268.0ms (3.1%)

simplify206.0ms (2.4%)

eval82.0ms (1%)

prune75.0ms (0.9%)

simplify172.0ms (2%)

localize514.0ms (6%)

series16.0ms (0.2%)

rewrite295.0ms (3.5%)

simplify314.0ms (3.7%)

eval124.0ms (1.5%)

prune312.0ms (3.7%)

simplify165.0ms (1.9%)

localize340.0ms (4%)

series8.0ms (0.1%)

rewrite665.0ms (7.8%)

simplify275.0ms (3.2%)

eval153.0ms (1.8%)

prune88.0ms (1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify32.0ms (0.4%)

soundness1.4s (16.5%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling