Details

analyze1.5s (32.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	96.7%	3.3%	10
0%	95.1%	4.9%	11
0%	93.7%	6.3%	12
0%	92.4%	7.6%	13
0.2%	86.5%	13.4%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample2.4s (50.7%)

Symmetry

(sort d2 d4)

Results

1.1s	8256×	body	128	valid
889.0ms	993×	body	8192	exit
207.0ms	1445×	body	128	invalid

Compiler

Compiled 39 to 23 computations (41% saved)

simplify100.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
654×	`fma-def_binary64`
233×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	32	14
2	94	13
3	263	13
4	655	13
5	1556	13
6	1691	13
7	1500	13
8	1500	13
9	2739	13
10	2707	13
11	2707	13
12	2632	13

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 d4 (-.f64 (-.f64 d2 d3) d1)))
▶	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 92 to 53 computations (42.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
✓	0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series22.0ms (0.5%)

Counts

2 → 84

Calls

2 calls:

15.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
7.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`fma-def_binary64`
3×	`associate-+l+_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
3.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-neg_binary64`
452×	`associate-l_binary64`
438×	`cancel-sign-sub-inv_binary64`
435×	`fma-def_binary64`
356×	`associate-r_binary64`

Counts

123 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1216
1	247	1134
2	845	1124
3	3098	1124
4	4619	1124
5	4925	1124

prune52.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Error

0.0b

Counts

78 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (fma.f64 d1 (-.f64 d2 d3) (.f64 d4 d1)) (.f64 d1 d1))
	0.0b	(-.f64 (-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (.f64 d4 d1))) (.f64 d1 d1))

Compiler

Compiled 1553 to 356 computations (77.1% saved)

localize28.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 (-.f64 d2 d3) (*.f64 d4 d1))

series12.0ms (0.3%)

Counts

1 → 48

Calls

1 calls:

12.0ms

(fma.f64 d1 (-.f64 d2 d3) (*.f64 d4 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 d1 (-.f64 d2 d3) (*.f64 d4 d1))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

552×	`unsub-neg_binary64`
523×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
355×	`associate-l_binary64`
336×	`associate-r_binary64`

Counts

58 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	609
1	72	569
2	145	569
3	484	569
4	2439	569
5	3549	569
6	4295	569
7	4963	569

prune18.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.0b

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (fma.f64 d1 (-.f64 d2 d3) (.f64 d4 d1)) (.f64 d1 d1))
▶	0.0b	(-.f64 (-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (.f64 d4 d1))) (.f64 d1 d1))

Compiler

Compiled 511 to 132 computations (74.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (*.f64 d4 d1)))
✓	0.0b	(-.f64 (.f64 d1 d3) (.f64 d4 d1))

series23.0ms (0.5%)

Counts

2 → 84

Calls

2 calls:

15.0ms	(-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (*.f64 d4 d1)))
7.0ms	(-.f64 (.f64 d1 d3) (.f64 d4 d1))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
5×	`cancel-sign-sub-inv_binary64`
5×	`prod-diff_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

2 → 41

Calls

2 calls:

5.0ms	(-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (*.f64 d4 d1)))
3.0ms	(-.f64 (.f64 d1 d3) (.f64 d4 d1))

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-neg_binary64`
538×	`fma-def_binary64`
480×	`times-frac_binary64`
288×	`distribute-rgt-in_binary64`
288×	`cancel-sign-sub-inv_binary64`

Counts

125 → 90

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1304
1	262	1219
2	986	1193
3	3009	1193
4	4373	1185
5	5474	1185

prune43.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Error

0.0b

Counts

92 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (fma.f64 d1 (-.f64 d2 d3) (.f64 d4 d1)) (.f64 d1 d1))
✓	0.0b	(-.f64 (-.f64 (.f64 d1 d2) (-.f64 (.f64 d1 d3) (.f64 d4 d1))) (.f64 d1 d1))

Compiler

Compiled 1836 to 386 computations (79% saved)

regimes166.0ms (3.5%)

Accuracy

Total 0.0b remaining (24.4%)

Threshold costs 0.0b (24.4%)

Counts

34 → 1

Compiler

Compiled 2683 to 1624 computations (39.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	18	17
2	28	17
3	34	17
4	37	17
5	37	17

end62.0ms (1.3%)

Remove: (sort d2 d4)
Compiler: Compiled 99 to 56 computations (43.4% saved)

Details

analyze1.5s (32.2%)

sample2.4s (50.7%)

simplify100.0ms (2.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series22.0ms (0.5%)

rewrite10.0ms (0.2%)

simplify83.0ms (1.7%)

prune52.0ms (1.1%)

localize28.0ms (0.6%)

series12.0ms (0.3%)

rewrite1.0ms (0%)

simplify80.0ms (1.7%)

prune18.0ms (0.4%)

localize9.0ms (0.2%)

series23.0ms (0.5%)

rewrite10.0ms (0.2%)

simplify85.0ms (1.8%)

prune43.0ms (0.9%)

regimes166.0ms (3.5%)

simplify3.0ms (0.1%)

end62.0ms (1.3%)

Profiling