Details

analyze522.0ms (15.2%)

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)

sample36.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	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 (0.4%)

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

prune5.0ms (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
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64`
6×	`add-exp-log_binary64`
6×	`distribute-rgt-in_binary64`

Counts

1 → 49

Calls

1 calls:

15.0ms

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

series24.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

24.0ms

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

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-neg_binary64`
444×	`fma-def_binary64`
415×	`unswap-sqr_binary64`
336×	`*-commutative_binary64`
158×	`sub-neg_binary64`

Counts

85 → 143

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	995
1	266	938
2	1182	935
3	2936	929
4	4834	929
5	4919	929

prune61.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	141	4	145

Error

Counts

145 → 4

Alt Table

Status	Error	Program
	30.9b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	37.4b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 d2 d2 (.f64 (+.f64 37 d3) (-.f64 -37 d3))))) (.f64 d1 (-.f64 d2 (+.f64 37 d3))))
▶	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

Compiler

Compiled 1223 to 755 computations (38.3% saved)

localize5.0ms (0.2%)

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)

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`

Counts

2 → 77

Calls

2 calls:

16.0ms	(*.f64 (+.f64 d3 37) d1)
9.0ms	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

series54.0ms (1.6%)

Counts

2 → 60

Calls

2 calls:

39.0ms	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
15.0ms	(*.f64 (+.f64 d3 37) d1)

simplify127.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-r_binary64`
577×	`fma-neg_binary64`
404×	`distribute-rgt-in_binary64`
379×	`distribute-lft-in_binary64`
319×	`fma-def_binary64`

Counts

137 → 227

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1301
1	249	1213
2	890	1201
3	3803	1194
4	4965	1194
5	4995	1194
6	4945	1194

prune68.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	227	4	231

Error

Counts

231 → 4

Alt Table

Status	Error	Program
▶	30.9b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	32.2b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

Compiler

Compiled 1691 to 1030 computations (39.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.1b	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cube-cbrt_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`
6×	`pow1/2_binary64`
6×	`add-cbrt-cube_binary64`

Counts

2 → 81

Calls

2 calls:

14.0ms	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
11.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))

series747.0ms (21.7%)

Counts

2 → 16

Calls

2 calls:

544.0ms	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
203.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37))))

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-l_binary64`
504×	`distribute-rgt-in_binary64`
486×	`distribute-lft-in_binary64`
482×	`fma-def_binary64`
187×	`cancel-sign-sub-inv_binary64`

Counts

97 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1412
1	415	1366
2	1300	1341
3	4628	1326
4	4982	1326

prune100.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	301	4	305

Error

Counts

305 → 4

Alt Table

Status	Error	Program
✓	30.9b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	32.2b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

Compiler

Compiled 3699 to 2604 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))
✓	0.0b	(*.f64 d1 (+.f64 37 d3))
✓	0.3b	(pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)
✓	37.6b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3))

rewrite55.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
16×	`flip3-+_binary64`
14×	`associate-*r/_binary64`

Counts

4 → 167

Calls

4 calls:

15.0ms	(pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)
14.0ms	(*.f64 d1 (+.f64 37 d3))
10.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3))
9.0ms	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))

series118.0ms (3.4%)

Counts

4 → 96

Calls

4 calls:

50.0ms	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))
27.0ms	(pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)
24.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3))
15.0ms	(*.f64 d1 (+.f64 37 d3))

simplify146.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-def_binary64`
248×	`unswap-sqr_binary64`
247×	`log-prod_binary64`
246×	`times-frac_binary64`
204×	`cancel-sign-sub-inv_binary64`

Counts

263 → 425

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2714
1	467	2523
2	1874	2486
3	4913	2486
4	5074	2486

prune131.0ms (3.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	425	4	429

Error

Counts

429 → 4

Alt Table

Status	Error	Program
✓	30.9b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))) 2)
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	32.2b	(fma.f64 d2 d1 (cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 37 d3)) 3)))
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

Compiler

Compiled 3881 to 2632 computations (32.2% saved)

regimes165.0ms (4.8%)

Accuracy

Total 0.0b remaining (52.5%)

Threshold costs 0.0b (52.5%)

Compiler

Compiled 2161 to 1551 computations (28.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end6.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample783.0ms (22.8%)

Algorithm

1×

intervals

Results

384.0ms	7964×	body	128	valid
31.0ms	705×	body	128	invalid
3.0ms	13×	body	512	valid
2.0ms	13×	body	1024	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 78 to 56 computations (28.2% saved)

Details

analyze522.0ms (15.2%)

sample36.0ms (1%)

simplify14.0ms (0.4%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite19.0ms (0.5%)

series24.0ms (0.7%)

simplify89.0ms (2.6%)

prune61.0ms (1.8%)

localize5.0ms (0.2%)

rewrite28.0ms (0.8%)

series54.0ms (1.6%)

simplify127.0ms (3.7%)

prune68.0ms (2%)

localize7.0ms (0.2%)

rewrite29.0ms (0.8%)

series747.0ms (21.7%)

simplify89.0ms (2.6%)

prune100.0ms (2.9%)

localize8.0ms (0.2%)

rewrite55.0ms (1.6%)

series118.0ms (3.4%)

simplify146.0ms (4.2%)

prune131.0ms (3.8%)

regimes165.0ms (4.8%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample783.0ms (22.8%)

Profiling