Metrics for logq (problem 3.4.3)

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.8%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-log: 1.0ms (52.5% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample2.6s (44%)

Results

1.6s	6133×	1	valid
720.0ms	1926×	2	valid
20.0ms	197×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 958.0ms (55.3% of total)

backward-pass: 197.0ms (11.4% of total)

ival-div: 160.0ms (9.2% of total)

ival-sub: 135.0ms (7.8% of total)

ival-add: 106.0ms (6.1% of total)

ival-<: 95.0ms (5.5% of total)

ival-fabs: 64.0ms (3.7% of total)

const: 15.0ms (0.9% of total)

Bogosity

preprocess65.0ms (1.1%)

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))))

explain195.0ms (3.3%)

FPErrors

Click to see full error table

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

107.0ms	386×	1	valid
53.0ms	118×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-log: 58.0ms (56.6% of total)

backward-pass: 15.0ms (14.6% of total)

ival-sub: 12.0ms (11.7% of total)

ival-div: 9.0ms (8.8% of total)

ival-add: 6.0ms (5.9% of total)

const: 1.0ms (1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify32.0ms (0.5%)

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)

localize97.0ms (1.6%)

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	7.9%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

51.0ms	193×	1	valid
29.0ms	59×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 28.0ms (59.4% of total)

backward-pass: 7.0ms (14.8% of total)

ival-div: 5.0ms (10.6% of total)

ival-sub: 4.0ms (8.5% of total)

ival-add: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

series3.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite262.0ms (4.4%)

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	341	19
3	4808	19
0	8526	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)) (log.f64 (-.f64 #s(literal 1 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 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 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 (.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 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 -1 binary64) (neg.f64 (*.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 (.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 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 #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 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.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 (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 -1 binary64) (neg.f64 (*.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 #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 (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 (.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 -1 binary64) (neg.f64 (.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))

simplify176.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2306×	`fma-lowering-fma.f32`
2306×	`fma-lowering-fma.f64`
1700×	`fnmadd-define`
1676×	`fmsub-define`
1500×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	287
1	252	253
2	607	248
3	1618	246
4	4072	246
0	8200	246

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

eval67.0ms (1.1%)

Compiler: Compiled 12453 to 1703 computations (86.3% saved)

prune85.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	3	517

Accuracy

100.0%

Counts

517 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))))
▶	99.9%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
▶	99.4%	(*.f64 #s(literal -2 binary64) eps)

Status

Accuracy

Program

▶

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))))))

▶

99.9%

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

▶

99.4%

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

282×	`fma-define`
232×	`fma-lowering-fma.f32`
232×	`fma-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	47	70
2	129	70
3	257	70
4	331	70
5	352	70
0	352	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize84.0ms (1.4%)

Localize:

Found 9 expressions of interest:

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

Results

63.0ms

256×

valid

Compiler

Compiled 92 to 16 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (54.9% of total)

...c/correct-round.rkt:119:19: 7.0ms (27.4% of total)

ival-add: 4.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (* -2 eps)>
#<alt (* eps (+ -2 (* eps (* eps -2/3))))>
#<alt (+ -2 (* eps (* eps -2/3)))>
#<alt (* eps (* eps -2/3))>
#<alt (* eps -2/3)>
#<alt (* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))>
#<alt (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))>
#<alt (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))>
#<alt (* eps eps)>
#<alt (* (* eps eps) -2/5)>
#<alt (+ -2/3 (* (* eps eps) -2/5))>

Outputs
#<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 (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (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 (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 (* -2/5 (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))))))>

Calls

33 calls:

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

rewrite259.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5120×	`-lowering-.f32`
5120×	`-lowering-.f64`
2566×	`/-lowering-/.f32`
2566×	`/-lowering-/.f64`
1542×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	88	61
2	732	61
0	8160	61

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 347

Calls

Call 1

Inputs
(* -2 eps)
(* eps (+ -2 (* eps (* eps -2/3))))
(+ -2 (* eps (* eps -2/3)))
(* eps (* eps -2/3))
(* eps -2/3)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(* eps eps)
(* (* eps eps) -2/5)
(+ -2/3 (* (* eps eps) -2/5))

Outputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))))
(+.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) (.f64 #s(literal -2 binary64) eps))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)))) (.f64 eps (+.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))))))
(fma.f64 #s(literal -2 binary64) eps (.f64 eps (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
(fma.f64 eps #s(literal -2 binary64) (.f64 eps (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
(fma.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps #s(literal -2/3 binary64)) (.f64 eps eps) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) eps (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps #s(literal -2/3 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) (.f64 #s(literal -2 binary64) eps)))))
(/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/9 binary64)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps eps)))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))))) (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal 2/5 binary64)))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal -4/25 binary64))))
(.f64 (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64)))) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (*.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64)))) (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)))) (+.f64 #s(literal 64/729 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))))))) (+.f64 #s(literal 16/81 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))) (-.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))) #s(literal 4/9 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)))) (-.f64 #s(literal 16/81 binary64) (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)))))) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64))) (-.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)))))

simplify434.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

2780×	`-lowering-.f32`
2780×	`-lowering-.f64`
1486×	`fmsub-define`
1428×	`fma-lowering-fma.f32`
1428×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	844
1	165	737
2	616	731
3	1957	694
4	4779	694
0	8268	694

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -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))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (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))))))
(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)
(* -2/5 (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))))))

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

eval65.0ms (1.1%)

Compiler: Compiled 16854 to 1336 computations (92.1% saved)

prune41.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	496	1	497
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	496	4	500

Accuracy

100.0%

Counts

500 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 eps (.f64 eps eps))) (.f64 #s(literal -2 binary64) eps))
✓	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))))))
✓	99.9%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
✓	99.4%	(*.f64 #s(literal -2 binary64) eps)

Compiler

Compiled 48 to 32 computations (33.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

262×	`fma-define`
232×	`fma-lowering-fma.f32`
232×	`fma-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	26	45
2	51	45
3	147	44
4	367	44
5	433	44
6	437	44
0	437	44

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps))) (* -2 eps))
(* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps)))
(+ -2/3 (* eps (* eps -2/5)))
-2/3
(* eps (* eps -2/5))
eps
(* eps -2/5)
-2/5
(* eps (* eps eps))
(* eps eps)
(* -2 eps)
-2

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

localize63.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 eps (*.f64 eps eps)))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -2/5 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/5 binary64))

Results

46.0ms

256×

valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (55.9% of total)

...c/correct-round.rkt:119:19: 7.0ms (32.6% of total)

ival-add: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	(+ (* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps))) (* -2 eps))
0.0ms	eps	@	-inf	(* eps (* eps eps))
0.0ms	eps	@	inf	(+ (* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps))) (* -2 eps))
0.0ms	eps	@	-inf	(* eps -2/5)
0.0ms	eps	@	0	(+ (* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps))) (* -2 eps))

rewrite267.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4056×	`-lowering-.f32`
4056×	`-lowering-.f64`
1646×	`/-lowering-/.f32`
1646×	`/-lowering-/.f64`
1576×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	54	36
2	447	36
3	6366	36
0	8079	36

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 181

Calls

Call 1

Inputs
(+ (* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps))) (* -2 eps))
(* (+ -2/3 (* eps (* eps -2/5))) (* eps (* eps eps)))
(+ -2/3 (* eps (* eps -2/5)))
(* eps (* eps -2/5))
(* eps -2/5)
(* eps (* eps eps))

Outputs
(+.f64 (.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))))) (.f64 eps #s(literal -2 binary64)))
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps))) (+.f64 (.f64 eps (.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps eps))))) (*.f64 eps #s(literal -2 binary64))))
(+.f64 (.f64 eps (.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps))) (*.f64 eps #s(literal -2 binary64))))
(+.f64 (+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (*.f64 eps eps))))))
(+.f64 (+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 eps (.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps eps)))))) (.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps eps))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))))) #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))))))) (/.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))))))))
(fma.f64 eps #s(literal -2 binary64) (.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64))))))))
(fma.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 eps (.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (*.f64 eps #s(literal -2 binary64)))
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(.f64 (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))))))
(.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal 2/5 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64)))) #s(literal -4/9 binary64))))
(.f64 (+.f64 #s(literal -4/9 binary64) (neg.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (neg.f64 (.f64 eps (*.f64 eps #s(literal 2/5 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))))) (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal 2/5 binary64))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal -4/25 binary64))))
(.f64 (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64)))) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (*.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64)))) (+.f64 #s(literal -2/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64))))) (+.f64 #s(literal 64/729 binary64) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64)) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))))))) (+.f64 #s(literal 16/81 binary64) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 4/9 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64))))) (-.f64 #s(literal 16/81 binary64) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64)) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64)))))) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -2/5 binary64))) #s(literal 2/3 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/25 binary64))) (-.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 eps #s(literal -2/5 binary64)) (.f64 eps (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64))))))))
(.f64 eps (.f64 eps #s(literal -2/5 binary64)))
(.f64 #s(literal -2/5 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -2/5 binary64)) eps)
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(.f64 eps (.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))

simplify157.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1862×	`fnmadd-define`
1770×	`-lowering-.f32`
1770×	`-lowering-.f64`
1600×	`fma-define`
1354×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	463
1	125	416
2	393	412
3	1160	401
4	2638	390
5	5737	390
0	8622	390

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval198.0ms (3.4%)

Compiler: Compiled 11464 to 702 computations (93.9% saved)

prune30.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	253	4	257

Accuracy

100.0%

Counts

257 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -2/5 binary64)))) (.f64 eps (.f64 eps eps))) (.f64 #s(literal -2 binary64) eps))
✓	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))))))
✓	99.9%	(.f64 eps (+.f64 #s(literal -2 binary64) (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
✓	99.4%	(*.f64 #s(literal -2 binary64) eps)

Compiler

Compiled 101 to 58 computations (42.6% saved)

regimes31.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	eps
2.0ms	(log.f64 (/.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)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
100.0%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.4%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
10×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	37	44

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness601.0ms (10.2%)

Rules

5120×	`-lowering-.f32`
5120×	`-lowering-.f64`
2566×	`/-lowering-/.f32`
2566×	`/-lowering-/.f64`
2306×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	88	61
2	732	61
0	8160	61
0	89	287
1	252	253
2	607	248
3	1618	246
4	4072	246
0	8200	246

Stop Event

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

Compiler

Compiled 109 to 63 computations (42.2% saved)

preprocess45.0ms (0.8%)

Compiler: Compiled 122 to 64 computations (47.5% saved)

logq (problem 3.4.3)

analyze4.0ms (0.1%)

sample2.6s (44%)

preprocess65.0ms (1.1%)

explain195.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.5%)

localize97.0ms (1.6%)

series3.0ms (0.1%)

rewrite262.0ms (4.4%)

simplify176.0ms (3%)

eval67.0ms (1.1%)

prune85.0ms (1.4%)

simplify15.0ms (0.2%)

localize84.0ms (1.4%)

series9.0ms (0.2%)

rewrite259.0ms (4.4%)

simplify434.0ms (7.3%)

eval65.0ms (1.1%)

prune41.0ms (0.7%)

simplify15.0ms (0.2%)

localize63.0ms (1.1%)

series3.0ms (0.1%)

rewrite267.0ms (4.5%)

simplify157.0ms (2.7%)

eval198.0ms (3.4%)

prune30.0ms (0.5%)

regimes31.0ms (0.5%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness601.0ms (10.2%)

preprocess45.0ms (0.8%)

end0.0ms (0%)

Profiling