Details

analyze487.0ms (17.8%)

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)

sample999.0ms (36.6%)

Results

771.0ms	8256×	body	128	valid
83.0ms	797×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify27.0ms (1%)

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

prune5.0ms (0.2%)

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)

series10.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

10.0ms

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

rewrite34.0ms (1.2%)

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)

simplify17.0ms (0.6%)

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

prune17.0ms (0.6%)

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)
	4.8b	(fma.f64 y (/.f64 x z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 471 to 148 computations (68.6% saved)

localize7.0ms (0.3%)

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)

series57.0ms (2.1%)

Counts

3 → 60

Calls

3 calls:

30.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
16.0ms	(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 (1.8%)

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:

48.0ms	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2))
48.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 2)
48.0ms	(cbrt.f64 (fma.f64 x (/.f64 y z) x))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

467×	`unswap-sqr_binary64`
365×	`cancel-sign-sub-inv_binary64`
319×	`times-frac_binary64`
278×	`associate-r_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	1416
1	195	1398
2	651	1296
3	3614	1296

Stop Event

1×	node limit

Counts

120 → 81

prune73.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	181	5	186

Error

0.0b

Counts

186 → 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))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
▶	4.8b	(fma.f64 y (/.f64 x z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
	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))

Compiler

Compiled 4171 to 1372 computations (67.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite35.0ms (1.3%)

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:

35.0ms

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

simplify16.0ms (0.6%)

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

prune15.0ms (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))
✓	3.3b	(fma.f64 x (/.f64 y z) x)
✓	4.8b	(fma.f64 y (/.f64 x z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	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))

Compiler

Compiled 506 to 158 computations (68.8% saved)

localize11.0ms (0.4%)

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)

series255.0ms (9.3%)

Counts

1 → 36

Calls

1 calls:

255.0ms

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

rewrite37.0ms (1.3%)

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:

36.0ms

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

simplify53.0ms (1.9%)

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

prune170.0ms (6.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	333	1	334
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	333	6	339

Error

0.0b

Counts

339 → 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))
✓	3.3b	(fma.f64 x (/.f64 y 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))
✓	4.8b	(fma.f64 y (/.f64 x z) x)
	11.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	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))

Compiler

Compiled 13159 to 4539 computations (65.5% saved)

regimes202.0ms (7.4%)

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)

simplify2.0ms (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

end82.0ms (3%)

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

Details

analyze487.0ms (17.8%)

sample999.0ms (36.6%)

simplify27.0ms (1%)

prune5.0ms (0.2%)

localize4.0ms (0.1%)

series10.0ms (0.4%)

rewrite34.0ms (1.2%)

simplify17.0ms (0.6%)

prune17.0ms (0.6%)

localize7.0ms (0.3%)

series57.0ms (2.1%)

rewrite50.0ms (1.8%)

simplify49.0ms (1.8%)

prune73.0ms (2.7%)

localize4.0ms (0.1%)

series12.0ms (0.4%)

rewrite35.0ms (1.3%)

simplify16.0ms (0.6%)

prune15.0ms (0.5%)

localize11.0ms (0.4%)

series255.0ms (9.3%)

rewrite37.0ms (1.3%)

simplify53.0ms (1.9%)

prune170.0ms (6.2%)

regimes202.0ms (7.4%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end82.0ms (3%)

Profiling