Details

analyze981.0ms (34.6%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample98.0ms (3.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-neg_binary64`
504×	`associate-*l/_binary64`
466×	`div-sub_binary64`
450×	`cancel-sign-sub-inv_binary64`
403×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	30	25
2	70	25
3	177	22
4	486	19
5	1087	19
6	2534	19
7	4434	19
8	5156	19

prune4.0ms (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

0.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	1.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
	10.8b	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))

Compiler

Compiled 110 to 70 computations (36.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
✓	0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
✓	2.5b	(/.f64 (.f64 y t) (.f64 2 z))
✓	6.4b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

series105.0ms (3.7%)

Counts

4 → 156

Calls

4 calls:

45.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
32.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
15.0ms	(/.f64 (.f64 y t) (.f64 2 z))
12.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

rewrite53.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

121×	`add-sqr-sqrt_binary64`
118×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
81×	`times-frac_binary64`
78×	`prod-diff_binary64`

Counts

4 → 203

Calls

4 calls:

12.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
6.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
4.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
4.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify265.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

335×	`fma-neg_binary64`
273×	`exp-prod_binary64`
232×	`times-frac_binary64`
230×	`associate-/l*_binary64`
215×	`associate-*r/_binary64`

Counts

359 → 311

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	10640
1	1154	8682
2	3814	7711
3	4584	7711
4	4860	7711

prune224.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	311	2	313

Error

Counts

313 → 2

Alt Table

Status	Error	Program
✓	1.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
▶	26.2b	(fma.f64 2 (/.f64 z t) x)

Compiler

Compiled 11489 to 5733 computations (50.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (/.f64 z t) x)

series9.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

9.0ms

(fma.f64 2 (/.f64 z t) x)

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 2 (/.f64 z t) x)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-*l/_binary64`
542×	`distribute-rgt-in_binary64`
507×	`distribute-lft-in_binary64`
443×	`associate-+l+_binary64`
396×	`fma-def_binary64`

Counts

46 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	376
1	23	359
2	49	359
3	126	359
4	432	359
5	1628	359
6	4283	359
7	4686	359
8	4929	359
9	4999	359

prune6.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	14	2	16

Error

Counts

16 → 2

Alt Table

Status	Error	Program
✓	1.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
✓	26.2b	(fma.f64 2 (/.f64 z t) x)

Compiler

Compiled 166 to 86 computations (48.2% saved)

regimes74.0ms (2.6%)

Accuracy

Total 2.2b remaining (76.3%)

Threshold costs 0b (0%)

Counts

9 → 1

Compiler

Compiled 862 to 598 computations (30.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	18	19
2	30	19
3	43	19
4	51	19
5	55	19
6	56	19
7	56	19

end0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

sample860.0ms (30.4%)

Algorithm

1×

intervals

Results

522.0ms

8000×

body

128

valid

Compiler

Compiled 70 to 48 computations (31.4% saved)

Details

analyze981.0ms (34.6%)

sample98.0ms (3.5%)

simplify55.0ms (1.9%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

series105.0ms (3.7%)

rewrite53.0ms (1.9%)

simplify265.0ms (9.4%)

prune224.0ms (7.9%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite1.0ms (0%)

simplify80.0ms (2.8%)

prune6.0ms (0.2%)

regimes74.0ms (2.6%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample860.0ms (30.4%)

Profiling