Details

analyze831.0ms (24.1%)

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
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample52.0ms (1.5%)

Algorithm

1×

intervals

Results

12.0ms	190×	body	128	valid
7.0ms	31×	body	1024	valid
5.0ms	17×	body	2048	valid
3.0ms	45×	body	128	invalid
3.0ms	14×	body	512	valid
2.0ms	12×	body	512	invalid
1.0ms	6×	body	1024	invalid
1.0ms	5×	body	256	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify528.0ms (15.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (366.0ms)

Iter	Nodes	Cost
0	6666	7

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_8284`
7×	`*-un-lft-identity_binary64_8262`
6×	`cancel-sign-sub-inv_binary64_8228`
5×	`associate-r_binary64_8202` `add-cube-cbrt_binary64_8297`
4×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211`
3×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `associate-l_binary64_8203`
2×	`associate-*r/_binary64_8204` `sub-neg_binary64_8255`
1×	`prod-exp_binary64_8311` `flip3--_binary64_8266` `unswap-sqr_binary64_8230` `distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `flip--_binary64_8237` `*-commutative_binary64_8193` `add-log-exp_binary64_8301`

Counts

1 → 30

Calls

1 calls:

15.0ms

(*.f64 y (-.f64 x z))

series57.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

57.0ms

(*.f64 y (-.f64 x z))

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	314

prune35.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 311 to 78 computations (74.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_8284`
11×	`associate-l_binary64_8203`
9×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `*-un-lft-identity_binary64_8262`
7×	`sqrt-prod_binary64_8278` `associate-r_binary64_8202` `add-cube-cbrt_binary64_8297`
4×	`prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `associate-*l/_binary64_8205`
2×	`associate-r/_binary64_8204` `flip3--_binary64_8266` `unswap-sqr_binary64_8230` `flip--_binary64_8237` `-commutative_binary64_8193` `add-log-exp_binary64_8301`
1×	`distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231`

Counts

2 → 49

Calls

2 calls:

11.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
8.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))

series144.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
68.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

simplify111.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5116	641

prune57.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 691 to 174 computations (74.8% saved)

regimes99.0ms (2.9%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

Compiler

Compiled 216 to 176 computations (18.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample1.4s (41.2%)

Algorithm

1×

intervals

Results

322.0ms	5875×	body	128	valid
163.0ms	815×	body	1024	valid
121.0ms	489×	body	2048	valid
86.0ms	506×	body	512	valid
77.0ms	1378×	body	128	invalid
47.0ms	287×	body	512	invalid
47.0ms	197×	body	1024	invalid
32.0ms	315×	body	256	valid
18.0ms	177×	body	256	invalid

Compiler

Compiled 71 to 58 computations (18.3% saved)

Details

analyze831.0ms (24.1%)

sample52.0ms (1.5%)

simplify528.0ms (15.3%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series57.0ms (1.6%)

simplify46.0ms (1.3%)

prune35.0ms (1%)

localize6.0ms (0.2%)

rewrite22.0ms (0.6%)

series144.0ms (4.2%)

simplify111.0ms (3.2%)

prune57.0ms (1.7%)

regimes99.0ms (2.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.4s (41.2%)

Profiling