Details

analyze707.0ms (25.7%)

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%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample45.0ms (1.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	18	7
3	18	7

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 d3))
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

5.0ms

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

simplify103.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
551×	`distribute-rgt-out_binary64`
343×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`
288×	`unswap-sqr_binary64`

Counts

51 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	420
1	116	402
2	419	401
3	1259	398
4	2596	398
5	3843	398
6	4403	398
7	5351	398

prune26.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Error

0.0b

Counts

30 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 371 to 103 computations (72.2% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series17.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

17.0ms

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

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:

1.0ms

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

simplify102.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
773×	`distribute-rgt-in_binary64`
765×	`distribute-lft-in_binary64`
405×	`*-commutative_binary64`
380×	`distribute-rgt-out_binary64`

Counts

46 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	346
1	26	331
2	78	331
3	295	331
4	778	331
5	2919	331
6	3117	331
7	3288	331
8	3563	331
9	4329	331
10	4791	331

prune14.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 232 to 62 computations (73.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

13.0ms

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

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

simplify111.0ms (4%)

Algorithm

1×	egg-herbie

Rules

935×	`distribute-rgt-in_binary64`
925×	`distribute-lft-in_binary64`
590×	`fma-def_binary64`
549×	`fma-neg_binary64`
280×	`associate-l_binary64`

Counts

49 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	416
1	133	386
2	419	386
3	1050	386
4	3209	386
5	3409	386
6	4244	386
7	4814	386
8	4885	386

prune30.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
▶	31.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

Compiler

Compiled 466 to 142 computations (69.5% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.4b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
✓	12.1b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
✓	17.7b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

series119.0ms (4.3%)

Counts

3 → 96

Calls

3 calls:

62.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
43.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
14.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 77

Calls

3 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
13.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
5.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

simplify164.0ms (6%)

Algorithm

1×	egg-herbie

Rules

790×	`times-frac_binary64`
388×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`
240×	`fma-def_binary64`
136×	`exp-prod_binary64`

Counts

173 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2599
1	335	2364
2	1283	2092
3	4755	2091
4	5065	2091

prune74.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Error

Counts

122 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 d3))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))
✓	31.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

Compiler

Compiled 2259 to 500 computations (77.9% saved)

regimes72.0ms (2.6%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Counts

8 → 1

Compiler

Compiled 372 to 218 computations (41.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end13.0ms (0.5%)

Remove: (sort d2 d3)
Compiler: Compiled 27 to 15 computations (44.4% saved)

sample1.0s (36.8%)

Algorithm

1×

intervals

Results

432.0ms	8000×	body	128	valid
39.0ms	680×	body	128	invalid

Compiler

Compiled 56 to 34 computations (39.3% saved)

Details

analyze707.0ms (25.7%)

sample45.0ms (1.7%)

simplify11.0ms (0.4%)

prune5.0ms (0.2%)

localize11.0ms (0.4%)

series12.0ms (0.4%)

rewrite7.0ms (0.2%)

simplify103.0ms (3.7%)

prune26.0ms (1%)

localize8.0ms (0.3%)

series17.0ms (0.6%)

rewrite1.0ms (0%)

simplify102.0ms (3.7%)

prune14.0ms (0.5%)

localize7.0ms (0.2%)

series13.0ms (0.5%)

rewrite10.0ms (0.3%)

simplify111.0ms (4%)

prune30.0ms (1.1%)

localize15.0ms (0.5%)

series119.0ms (4.3%)

rewrite38.0ms (1.4%)

simplify164.0ms (6%)

prune74.0ms (2.7%)

regimes72.0ms (2.6%)

simplify4.0ms (0.1%)

end13.0ms (0.5%)

sample1.0s (36.8%)

Profiling