Metrics for logq (problem 3.4.3)

analyze8.0ms (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: 4.0ms

ival-sub: 1.0ms (25.2% of total)

ival-div: 1.0ms (25.2% of total)

ival-add: 1.0ms (25.2% of total)

ival-log: 1.0ms (25.2% of total)

ival-fabs: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

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

sample4.4s (23.7%)

Results

2.5s	6096×	1	valid
1.2s	1966×	2	valid
38.0ms	194×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-log: 1.4s (46.4% of total)

ival-div: 373.0ms (12.1% of total)

ival-<: 314.0ms (10.2% of total)

ival-sub: 282.0ms (9.2% of total)

backward-pass: 271.0ms (8.8% of total)

ival-add: 268.0ms (8.7% of total)

ival-fabs: 114.0ms (3.7% of total)

const: 23.0ms (0.7% of total)

Bogosity

preprocess150.0ms (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))))

explain331.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
252	-	-	`(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

165.0ms	388×	1	valid
87.0ms	108×	2	valid
3.0ms	16×	0	valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-log: 83.0ms (50.7% of total)

ival-div: 30.0ms (18.3% of total)

backward-pass: 20.0ms (12.2% of total)

ival-sub: 15.0ms (9.2% of total)

ival-add: 14.0ms (8.6% of total)

const: 2.0ms (1.2% of total)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify75.0ms (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)

localize158.0ms (0.8%)

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	9.0%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

82.0ms	194×	1	valid
45.0ms	54×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-log: 43.0ms (55.5% of total)

ival-div: 10.0ms (12.9% of total)

backward-pass: 10.0ms (12.9% of total)

ival-add: 7.0ms (9% of total)

ival-sub: 7.0ms (9% of total)

const: 1.0ms (1.3% of total)

series8.0ms (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
3.0ms	eps	@	0	(log (/ (- 1 eps) (+ 1 eps)))
1.0ms	eps	@	inf	(log (/ (- 1 eps) (+ 1 eps)))
1.0ms	eps	@	inf	(/ (- 1 eps) (+ 1 eps))
1.0ms	eps	@	-inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(- 1 eps)

rewrite677.0ms (3.6%)

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))

simplify488.0ms (2.6%)

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))

eval187.0ms (1%)

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

prune203.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	511	5	516
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	511	6	517

Accuracy

100.0%

Counts

517 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.9%	(-.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))))
▶	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)))))))))
▶	99.6%	(.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))))))
▶	99.3%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
▶	98.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 153 to 96 computations (37.3% saved)

simplify454.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps))
✓	cost-diff	256	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)))
✓	cost-diff	384	(-.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))))
✓	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 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)))))))))

Rules

2916×	`--lowering--.f32`
2916×	`--lowering--.f64`
1742×	`+-lowering-+.f64`
1742×	`+-lowering-+.f32`
1556×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	258
1	109	236
2	348	233
3	986	224
4	2030	221
5	3809	220
6	7564	220
0	8101	220

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize829.0ms (4.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	53.5%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)))
✓	accuracy	9.0%	(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓	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	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/5 binary64))))
✓	accuracy	99.7%	(.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	99.7%	(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -2/7 binary64)))
✓	accuracy	99.7%	(.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)))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps #s(literal -2/7 binary64)))))
✓	accuracy	99.4%	(*.f64 eps #s(literal -2/7 binary64))

Results

651.0ms	249×	1	valid
7.0ms	7×	0	valid

Compiler

Compiled 263 to 34 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-mult: 138.0ms (36.3% of total)

ival-log: 92.0ms (24.2% of total)

backward-pass: 47.0ms (12.4% of total)

ival-add: 47.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 40.0ms (10.5% of total)

ival-sub: 15.0ms (3.9% of total)

const: 2.0ms (0.5% of total)

series53.0ms (0.3%)

Counts

22 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(log (+ (+ 1 eps) (* (- -1 eps) eps)))
3.0ms	eps	@	0	(* eps (+ -2 (* -2/3 (* eps eps))))
3.0ms	eps	@	0	(- (log (+ (+ 1 eps) (* (- -1 eps) eps))) (log (* (+ 1 eps) (+ 1 eps))))
1.0ms	eps	@	inf	(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
1.0ms	eps	@	inf	(* eps (+ -2 (* -2/3 (* eps eps))))

rewrite926.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3040×	`-lowering-.f32`
3040×	`-lowering-.f64`
2834×	`fma-lowering-fma.f32`
2834×	`fma-lowering-fma.f64`
2096×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	202
1	232	180
2	2162	177
0	8209	177

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 572

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (+.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 eps eps))))
(+.f64 (.f64 (+.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 eps eps))) (.f64 eps #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (.f64 (+.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 eps eps))))
(fma.f64 eps (.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 #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (.f64 (+.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 eps eps))))
(fma.f64 (.f64 eps eps) (.f64 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 #s(literal -2 binary64)))
(fma.f64 (+.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 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.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 (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.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 #s(literal -2 binary64)))
(fma.f64 (.f64 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 eps) (*.f64 eps #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.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 eps eps) (.f64 eps eps)) (.f64 (+.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 #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 eps #s(literal -2 binary64)) (.f64 eps #s(literal -2 binary64))) (-.f64 (.f64 (.f64 (+.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 eps eps))) (.f64 (+.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 eps eps)))) (.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (+.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 eps eps)))))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps #s(literal -2 binary64))) (.f64 (.f64 (+.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 eps eps))) (.f64 (+.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 eps eps))))) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (+.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 eps eps)))))
(/.f64 (.f64 eps (+.f64 #s(literal -8 binary64) (.f64 (.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 eps eps) (.f64 eps eps)) (.f64 (+.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 #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 #s(literal 4 binary64) (.f64 (.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 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))))))) #s(literal -2 binary64)))))
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(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (/.f64 (+.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 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (+.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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (+.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 eps)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.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 eps (.f64 eps eps)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 eps)) (exp.f64 (log1p.f64 eps)))
(+.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(+.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 eps #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(fma.f64 eps #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 #s(literal -1 binary64) eps (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(fma.f64 #s(literal -1 binary64) eps (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(/.f64 (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (.f64 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)) eps) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))) eps) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(*.f64 eps (-.f64 #s(literal -1 binary64) eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)

simplify863.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

3366×	`-lowering-.f32`
3366×	`-lowering-.f64`
2206×	`fma-lowering-fma.f32`
2206×	`fma-lowering-fma.f64`
1782×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	2109
1	678	2062
2	2161	1988
3	6611	1988
0	8117	1988

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval334.0ms (1.8%)

Compiler: Compiled 28318 to 2733 computations (90.3% saved)

prune273.0ms (1.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	922	2	924
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	923	7	930

Accuracy

100.0%

Counts

930 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
▶	99.3%	(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) (.f64 eps #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)))))))))
✓	99.6%	(.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))))))
✓	99.3%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	98.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 87 to 59 computations (32.2% saved)

simplify422.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)
✓	cost-diff	128	(log1p.f64 (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps))
✓	cost-diff	128	(-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
✓	cost-diff	0	(.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)))
✓	cost-diff	128	(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) (.f64 eps #s(literal -2 binary64)))

Rules

2542×	`+-lowering-+.f64`
2542×	`+-lowering-+.f32`
1646×	`sum3-define`
1298×	`fmsub-define`
1112×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	49	61
2	106	60
3	221	60
4	1033	60
5	4223	60
0	8020	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize673.0ms (3.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	accuracy	100.0%	(log1p.f64 (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps))
✓	accuracy	46.3%	(+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 eps (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal -2/3 binary64))

Results

377.0ms	104×	5	exit
184.0ms	144×	1	valid
5.0ms	1×	4	valid
3.0ms	6×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 552.0ms

compiled-spec: 184.0ms (33.4% of total)

ival-log: 107.0ms (19.4% of total)

backward-pass: 86.0ms (15.6% of total)

ival-add: 71.0ms (12.9% of total)

ival-mult: 55.0ms (10% of total)

...c/correct-round.rkt:119:19: 29.0ms (5.3% of total)

ival-sub: 15.0ms (2.7% of total)

const: 5.0ms (0.9% of total)

series15.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

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

Outputs
#<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 (* -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) (- (* (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 (* -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 (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 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>
#<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))))>

Calls

30 calls:

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

rewrite738.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3196×	`-lowering-.f32`
3196×	`-lowering-.f64`
2874×	`/-lowering-/.f32`
2874×	`/-lowering-/.f64`
2482×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	115	47
2	1036	46
0	8546	46

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 244

Calls

Call 1

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

Outputs
(+.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 (.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/9 binary64)) (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (+.f64 (.f64 eps (*.f64 eps #s(literal -2/3 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 4/9 binary64)) (+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (+.f64 (.f64 eps (*.f64 eps #s(literal -2/3 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))))) (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 4/9 binary64)) (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64))))))
(fma.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 eps #s(literal -2 binary64) (.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/3 binary64))))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/3 binary64))))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps #s(literal -2/3 binary64)) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps (*.f64 eps #s(literal -2/3 binary64))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps (*.f64 eps #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 4/9 binary64)) (.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (.f64 eps (.f64 eps #s(literal -2 binary64)))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 4/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps (*.f64 eps #s(literal -2/3 binary64))) #s(literal -2 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (+.f64 #s(literal 0 binary64) eps))
(/.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 #s(literal -1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) (.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #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 0 binary64) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))
(*.f64 eps #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))))))
(.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 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
(log.f64 (+.f64 eps #s(literal 1 binary64)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (neg.f64 (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 eps)))
(-.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log.f64 (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (log.f64 (+.f64 eps #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (.f64 eps (.f64 eps eps)))) (.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (+.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(log1p.f64 eps)

simplify653.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2200×	`sum4-define`
2160×	`fma-lowering-fma.f32`
2160×	`fma-lowering-fma.f64`
2060×	`-lowering-.f32`
2060×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	882
1	478	843
2	1454	828
3	5251	828
0	8389	828

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -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))
(* -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) (- (* (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))))))
(* -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))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 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
(* 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))))

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

eval118.0ms (0.6%)

Compiler: Compiled 9397 to 1166 computations (87.6% saved)

prune84.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	363	1	364
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	364	7	371

Accuracy

100.0%

Counts

371 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	99.3%	(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) (.f64 eps #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)))))))))
✓	99.6%	(.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))))))
✓	99.3%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	98.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 84 to 56 computations (33.3% saved)

simplify249.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(log1p.f64 (*.f64 (neg.f64 eps) eps))
✓	cost-diff	-64	(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	cost-diff	0	(log1p.f64 eps)
✓	cost-diff	0	(*.f64 (log1p.f64 eps) #s(literal 2 binary64))

Rules

2584×	`sum5-define`
1964×	`sum3-define`
1424×	`fnmadd-define`
1400×	`sum4-define`
1282×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	29	29
2	49	28
3	78	28
4	118	28
5	188	28
6	333	28
7	697	28
8	2889	28
9	5423	28
0	8038	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (log (+ 1 (* (neg eps) eps))) (* (log (+ 1 eps)) 2))
(log (+ 1 (* (neg eps) eps)))
(* (neg eps) eps)
(neg eps)
eps
(* (log (+ 1 eps)) 2)
(log (+ 1 eps))
2

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

localize392.0ms (2.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(log1p.f64 eps)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	accuracy	100.0%	(log1p.f64 (*.f64 (neg.f64 eps) eps))

Results

191.0ms	104×	5	exit
147.0ms	144×	1	valid
2.0ms	1×	4	valid
2.0ms	1×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

compiled-spec: 153.0ms (42.5% of total)

ival-log: 115.0ms (31.9% of total)

backward-pass: 33.0ms (9.2% of total)

ival-mult: 22.0ms (6.1% of total)

ival-add: 19.0ms (5.3% of total)

ival-neg: 8.0ms (2.2% of total)

ival-sub: 7.0ms (1.9% of total)

const: 3.0ms (0.8% of total)

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (* (log (+ 1 eps)) 2)>
#<alt (log (+ 1 eps))>
#<alt (- (log (+ 1 (* (neg eps) eps))) (* (log (+ 1 eps)) 2))>
#<alt (log (+ 1 (* (neg eps) eps)))>
#<alt (neg eps)>

Outputs
#<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 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 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 (* -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 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>

Calls

15 calls:

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

rewrite640.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2460×	`-lowering-.f32`
2460×	`-lowering-.f64`
1796×	`sum3-define`
1766×	`fnmadd-define`
1694×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	63	23
2	494	22
3	4999	22
0	8252	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 154

Calls

Call 1

Inputs
(* (log (+ 1 eps)) 2)
(log (+ 1 eps))
(- (log (+ 1 (* (neg eps) eps))) (* (log (+ 1 eps)) 2))
(log (+ 1 (* (neg eps) eps)))
(neg eps)

Outputs
(*.f64 (log1p.f64 eps) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) eps))
(+.f64 (log1p.f64 eps) #s(literal 0 binary64))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 0 binary64) (log1p.f64 eps))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (neg.f64 (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps (-.f64 #s(literal 0 binary64) eps))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(+.f64 (neg.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (log1p.f64 (.f64 eps (*.f64 eps eps))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (log1p.f64 eps))
(+.f64 (log.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)))))))) (log1p.f64 (.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64))) (-.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.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))))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (log1p.f64 (.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps (-.f64 #s(literal 0 binary64) eps))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (log.f64 (+.f64 eps #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64))))) (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 eps (.f64 eps eps))) (log1p.f64 (.f64 eps (.f64 eps eps)))) (.f64 (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))) (log1p.f64 (.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(log1p.f64 eps)
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (log1p.f64 eps) #s(literal -2 binary64)))
(+.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))
(-.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (-.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (log1p.f64 eps) #s(literal -2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (+.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (log1p.f64 eps) #s(literal 2 binary64))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (-.f64 (log1p.f64 (.f64 eps eps)) (*.f64 (log1p.f64 eps) #s(literal -2 binary64))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (+.f64 (log1p.f64 (.f64 eps eps)) (*.f64 (log1p.f64 eps) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))))) (/.f64 (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (/.f64 (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))))
(-.f64 (+.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))
(-.f64 (+.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))) (log1p.f64 (*.f64 eps eps)))
(fma.f64 (log1p.f64 eps) #s(literal -2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal -1 binary64) (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) #s(literal 2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal -2 binary64) (log1p.f64 eps) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
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(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (-.f64 (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal -2 binary64)) (+.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))))
(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (neg.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))))
(+.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (neg.f64 (log1p.f64 (.f64 eps eps))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 (log.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 eps eps))) (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))))))) (log1p.f64 (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))))) (log1p.f64 (.f64 (.f64 eps eps) (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (log1p.f64 (.f64 (.f64 eps eps) (+.f64 (*.f64 eps eps) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log1p.f64 (.f64 eps eps)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log.f64 (+.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))))
(-.f64 (log.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -1 binary64))) (log.f64 (+.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (+.f64 (.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))) (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64))))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))) (+.f64 (.f64 (log1p.f64 (.f64 eps eps)) (log1p.f64 (.f64 eps eps))) (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log1p.f64 (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))))) (.f64 (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))) (log1p.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) #s(literal -1 binary64)))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (log1p.f64 (.f64 eps eps)) (log1p.f64 (.f64 eps eps)))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(log1p.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) eps)
(-.f64 (/.f64 #s(literal 0 binary64) eps) eps)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps)
(neg.f64 eps)
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps (-.f64 #s(literal 0 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 eps (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) eps)) eps)
(/.f64 (.f64 eps (.f64 eps eps)) (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(/.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 0 binary64) eps))) (*.f64 eps eps))
(/.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 0 binary64) eps))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))
(*.f64 eps #s(literal -1 binary64))
(*.f64 eps (/.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 eps eps))
(.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 eps (.f64 eps (-.f64 #s(literal 0 binary64) eps))) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))

simplify639.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2314×	`fma-lowering-fma.f32`
2314×	`fma-lowering-fma.f64`
2070×	`-lowering-.f32`
2070×	`-lowering-.f64`
1940×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	676
1	574	627
2	1656	603
3	5648	602
0	8088	602

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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))))))
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 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))))))
(* -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 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)

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

eval67.0ms (0.4%)

Compiler: Compiled 6699 to 831 computations (87.6% saved)

prune68.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	214	7	221

Accuracy

100.0%

Counts

221 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
✓	99.3%	(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) (.f64 eps #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)))))))))
✓	99.6%	(.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))))))
✓	99.3%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
✓	98.4%	(*.f64 #s(literal -2 binary64) eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 194 to 107 computations (44.8% saved)

regimes16.0ms (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 eps (.f64 (.f64 eps 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)))))))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) eps)) (.f64 (log1p.f64 eps) #s(literal 2 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))))

Outputs
(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))

Calls

3 calls:

5.0ms	eps
4.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
4.0ms	(/.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)

regimes13.0ms (0.1%)

Counts

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

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

3 calls:

4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
4.0ms	eps
4.0ms	(log.f64 (/.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)

regimes4.0ms (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 eps (.f64 (.f64 eps 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:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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 eps (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))

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

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.3%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

2.0ms

eps

Results

Accuracy	Segments	Branch
98.4%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
24×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	58
1	59	58
2	73	58
3	82	58
4	87	58
5	88	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (.f64 (neg.f64 eps) eps)) (.f64 (log1p.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 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 (neg.f64 eps) eps)) (.f64 (log1p.f64 eps) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps))) (.f64 (log1p.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 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))

soundness3.3s (17.7%)

Rules

3196×	`-lowering-.f32`
3196×	`-lowering-.f64`
3040×	`-lowering-.f32`
3040×	`-lowering-.f64`
2874×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	115	47
2	1036	46
0	8546	46
0	6	21
1	40	19
2	340	19
3	4799	19
0	8435	19
0	89	287
1	252	267
2	606	260
3	1624	256
4	4079	256
0	8239	256
0	33	202
1	232	180
2	2162	177
0	8209	177

Stop Event

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

Compiler

Compiled 136 to 81 computations (40.4% saved)

preprocess133.0ms (0.7%)

Compiler: Compiled 152 to 82 computations (46.1% saved)

analyze8.0ms (0%)

sample4.4s (23.7%)

preprocess150.0ms (0.8%)

explain331.0ms (1.8%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify75.0ms (0.4%)

localize158.0ms (0.8%)

series8.0ms (0%)

rewrite677.0ms (3.6%)

simplify488.0ms (2.6%)

eval187.0ms (1%)

prune203.0ms (1.1%)

simplify454.0ms (2.4%)

localize829.0ms (4.4%)

series53.0ms (0.3%)

rewrite926.0ms (4.9%)

simplify863.0ms (4.6%)

eval334.0ms (1.8%)

prune273.0ms (1.5%)

simplify422.0ms (2.3%)

localize673.0ms (3.6%)

series15.0ms (0.1%)

rewrite738.0ms (3.9%)

simplify653.0ms (3.5%)

eval118.0ms (0.6%)

prune84.0ms (0.4%)

simplify249.0ms (1.3%)

localize392.0ms (2.1%)

series3.0ms (0%)

rewrite640.0ms (3.4%)

simplify639.0ms (3.4%)

eval67.0ms (0.4%)

prune68.0ms (0.4%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify21.0ms (0.1%)

soundness3.3s (17.7%)

preprocess133.0ms (0.7%)

end0.0ms (0%)

Profiling