Details

analyze526.0ms (23.1%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample34.0ms (1.5%)

Algorithm

1×

intervals

Results

11.0ms	253×	body	128	valid
1.0ms	33×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series25.0ms (1.1%)

Counts

1 → 36

Calls

1 calls:

25.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify101.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
318×	`associate-r_binary64`
261×	`fma-def_binary64`

Counts

62 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	687
1	163	645
2	700	643
3	4006	643
4	4316	643
5	5142	643

prune33.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Error

Counts

112 → 5

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37))))) (cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	21.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
	29.6b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

Compiler

Compiled 788 to 473 computations (40% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d3 37) d1)
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 38

Calls

2 calls:

4.0ms	(*.f64 (+.f64 d3 37) d1)
3.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

series90.0ms (4%)

Counts

2 → 60

Calls

2 calls:

75.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))
15.0ms	(*.f64 (+.f64 d3 37) d1)

simplify97.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64`
591×	`associate-l_binary64`
585×	`distribute-lft-in_binary64`
473×	`associate-r_binary64`
410×	`sub-neg_binary64`

Counts

98 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	953
1	219	929
2	835	926
3	3452	926
4	4492	926
5	4945	926

prune42.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	182	4	186

Error

Counts

186 → 4

Alt Table

Status	Error	Program
	32.2b	(+.f64 (.f64 d2 d1) (cbrt.f64 (pow.f64 (.f64 d1 (+.f64 d3 37)) 3)))
▶	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	29.6b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

Compiler

Compiled 1094 to 619 computations (43.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
	0.0b	(*.f64 (+.f64 d3 37) d1)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

series36.0ms (1.6%)

Counts

1 → 36

Calls

1 calls:

36.0ms

(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

868×	`associate-+l+_binary64`
863×	`associate-+r+_binary64`
408×	`distribute-rgt-out_binary64`
385×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`

Counts

46 → 88

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	551
1	47	457
2	82	457
3	291	457
4	1539	457
5	5761	457

prune39.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Error

Counts

178 → 4

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	32.2b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d3 37)) 3)))
▶	29.6b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

Compiler

Compiled 911 to 541 computations (40.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.2b	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 59

Calls

2 calls:

11.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
7.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))

series58.0ms (2.6%)

Counts

2 → 56

Calls

2 calls:

33.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))
25.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

simplify122.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
614×	`fma-neg_binary64`
548×	`+-commutative_binary64`
327×	`*-commutative_binary64`
314×	`sub-neg_binary64`

Counts

115 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1524
1	259	1362
2	1059	1358
3	1636	1358
4	2933	1358
5	4167	1358
6	4946	1358
7	4924	1358

prune44.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	218	4	222

Error

Counts

222 → 4

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	32.2b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d3 37)) 3)))
✓	29.6b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

Compiler

Compiled 1756 to 848 computations (51.7% saved)

regimes152.0ms (6.7%)

Accuracy

Total 0.0b remaining (54.5%)

Threshold costs 0.0b (54.5%)

Compiler

Compiled 2191 to 1523 computations (30.5% 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	8	11
1	10	11
2	10	11

end7.0ms (0.3%)

Remove: (sort d2 d3)
Compiler: Compiled 33 to 21 computations (36.4% saved)

sample722.0ms (31.6%)

Algorithm

1×

intervals

Results

357.0ms	7964×	body	128	valid
34.0ms	705×	body	128	invalid
2.0ms	13×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 80 to 55 computations (31.3% saved)

Details

analyze526.0ms (23.1%)

sample34.0ms (1.5%)

simplify14.0ms (0.6%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series25.0ms (1.1%)

simplify101.0ms (4.4%)

prune33.0ms (1.4%)

localize6.0ms (0.2%)

rewrite9.0ms (0.4%)

series90.0ms (4%)

simplify97.0ms (4.2%)

prune42.0ms (1.8%)

localize6.0ms (0.3%)

rewrite1.0ms (0%)

series36.0ms (1.6%)

simplify74.0ms (3.2%)

prune39.0ms (1.7%)

localize6.0ms (0.3%)

rewrite21.0ms (0.9%)

series58.0ms (2.6%)

simplify122.0ms (5.3%)

prune44.0ms (1.9%)

regimes152.0ms (6.7%)

simplify3.0ms (0.1%)

end7.0ms (0.3%)

sample722.0ms (31.6%)

Profiling