Details

analyze484.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample981.0ms (29%)

Results

757.0ms	8256×	body	128	valid
74.0ms	797×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-/l*_binary64`
731×	`associate-/l/_binary64`
589×	`associate-/r/_binary64`
532×	`associate-*l/_binary64`
346×	`associate-/r*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	10
2	28	10
3	41	10
4	50	10
5	56	10
6	60	8
7	75	8
8	257	8
9	1190	8
10	1448	8
11	1585	8
12	1598	8
13	1603	8
14	1608	8

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	3.3b	(fma.f64 x (/.f64 y z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(fma.f64 x (/.f64 y z) x)

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(fma.f64 x (/.f64 y z) x)

rewrite34.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log1p-expm1-u_binary64`
616×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	8
2	1638	8

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

33.0ms

(fma.f64 x (/.f64 y z) x)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
10×	`associate-r_binary64`
9×	`associate-/r/_binary64`
8×	`associate-/l*_binary64`
6×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	324
1	19	324
2	31	264
3	42	264
4	72	264
5	86	264
6	106	264
7	115	264
8	117	264

Stop Event

1×

saturated

Counts

65 → 35

prune18.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

0.0b

Counts

37 → 4

Alt Table

Status	Error	Program
▶	4.5b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
	4.8b	(fma.f64 y (/.f64 x z) x)

Compiler

Compiled 471 to 148 computations (68.6% saved)

localize43.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
✓	0.5b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
	3.1b	(fma.f64 x (/.f64 y z) x)

series522.0ms (15.4%)

Counts

3 → 108

Calls

3 calls:

257.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
253.0ms	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
11.0ms	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`prod-diff_binary64`
85×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	206	31
2	2265	31

Stop Event

1×	node limit

Counts

3 → 60

Calls

3 calls:

49.0ms	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
49.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
49.0ms	(cbrt.f64 (fma.f64 x (/.f64 y z) x))

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-/l*_binary64`
468×	`associate-/r*_binary64`
440×	`fma-def_binary64`
170×	`associate-/r/_binary64`
147×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	3238
1	531	3094
2	2016	2695

Stop Event

1×	node limit

Counts

168 → 131

prune114.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	256	5	261

Error

0.0b

Counts

261 → 5

Alt Table

Status	Error	Program
✓	4.5b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
	5.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	4.8b	(fma.f64 y (/.f64 x z) x)

Compiler

Compiled 7409 to 2833 computations (61.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(fma.f64 y (/.f64 x z) x)

series10.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 y (/.f64 x z) x)

rewrite33.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log1p-expm1-u_binary64`
616×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	8
2	1638	8

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

32.0ms

(fma.f64 y (/.f64 x z) x)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
10×	`associate-r_binary64`
9×	`associate-/r/_binary64`
8×	`associate-/l*_binary64`
6×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	324
1	19	324
2	31	264
3	42	264
4	72	264
5	86	264
6	106	264
7	115	264
8	117	264

Stop Event

1×

saturated

Counts

65 → 35

prune16.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	35	5	40

Error

0.0b

Counts

40 → 5

Alt Table

Status	Error	Program
✓	4.5b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
▶	5.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	4.8b	(fma.f64 y (/.f64 x z) x)

Compiler

Compiled 506 to 158 computations (68.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
	0.5b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	3.1b	(fma.f64 x (/.f64 y z) x)

series275.0ms (8.1%)

Counts

1 → 36

Calls

1 calls:

275.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

rewrite39.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
87×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	159	12
2	1999	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

1 calls:

39.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary64`
453×	`times-frac_binary64`
320×	`associate-/l*_binary64`
292×	`associate-r_binary64`
230×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1556
1	344	1432
2	1136	1289
3	4866	1283

Stop Event

1×	node limit

Counts

58 → 55

prune242.0ms (7.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	433	6	439

Error

0.0b

Counts

439 → 6

Alt Table

Status	Error	Program
✓	4.5b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	5.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	4.8b	(fma.f64 y (/.f64 x z) x)
	5.6b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) 3) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))

Compiler

Compiled 18658 to 6784 computations (63.6% saved)

regimes208.0ms (6.2%)

Accuracy

Total 2.2b remaining (99.2%)

Threshold costs 0b (0%)

Counts

24 → 4

Compiler

Compiled 2236 to 1158 computations (48.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	23	79

Stop Event

1×

saturated

end86.0ms (2.5%)

Compiler: Compiled 231 to 92 computations (60.2% saved)

Details

analyze484.0ms (14.3%)

sample981.0ms (29%)

simplify28.0ms (0.8%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series13.0ms (0.4%)

rewrite34.0ms (1%)

simplify16.0ms (0.5%)

prune18.0ms (0.5%)

localize43.0ms (1.3%)

series522.0ms (15.4%)

rewrite50.0ms (1.5%)

simplify59.0ms (1.7%)

prune114.0ms (3.4%)

localize6.0ms (0.2%)

series10.0ms (0.3%)

rewrite33.0ms (1%)

simplify16.0ms (0.5%)

prune16.0ms (0.5%)

localize11.0ms (0.3%)

series275.0ms (8.1%)

rewrite39.0ms (1.2%)

simplify74.0ms (2.2%)

prune242.0ms (7.2%)

regimes208.0ms (6.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end86.0ms (2.5%)

Profiling