Details

analyze311.0ms (12.1%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify125.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	569	10
1	569	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`associate-r_binary64_1041` `cancel-sign-sub-inv_binary64_1067`
5×	`add-cube-cbrt_binary64_1136`
4×	`frac-times_binary64_1111` `distribute-lft-in_binary64_1050` `associate-l_binary64_1042` `distribute-rgt-in_binary64_1051`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075`
2×	`difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 38

Calls

1 calls:

14.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series121.0ms (4.7%)

Counts

1 → 18

Calls

1 calls:

120.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 263 to 216 computations (17.9% saved)

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5198	765

prune38.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

Compiler

Compiled 676 to 306 computations (54.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`sqrt-div_binary64_1118`
32×	`frac-times_binary64_1111`
23×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
22×	`*-un-lft-identity_binary64_1101`
20×	`add-sqr-sqrt_binary64_1123`
17×	`sqrt-prod_binary64_1117`
16×	`associate-*r/_binary64_1043`
13×	`pow1_binary64_1162` `associate-l_binary64_1042`
12×	`flip--_binary64_1076` `flip3--_binary64_1105`
11×	`add-exp-log_binary64_1139` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
10×	`associate-*l/_binary64_1044`
8×	`associate-r_binary64_1041`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `pow-prod-down_binary64_1172`
2×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `difference-of-squares_binary64_1070` `sqrt-pow1_binary64_1119` `unswap-sqr_binary64_1069` `pow1/2_binary64_1181`
1×	`distribute-lft-out--_binary64_1053`

Counts

4 → 114

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))
11.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x y))

series344.0ms (13.4%)

Counts

4 → 51

Calls

4 calls:

133.0ms	(*.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y)))
126.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (-.f64 1 z) (sqrt.f64 (+.f64 x y))))
43.0ms	(sqrt.f64 (+.f64 x y))
42.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 1494 to 1178 computations (21.2% saved)

simplify86.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5207	2835

prune123.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Merged error: 0b

Counts

168 → 3

Compiler

Compiled 3036 to 1200 computations (60.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (sqrt.f64 z))
0.0b	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))

rewrite47.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`frac-times_binary64_1111`
29×	`add-sqr-sqrt_binary64_1123`
27×	`*-un-lft-identity_binary64_1101`
24×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
18×	`cancel-sign-sub-inv_binary64_1067`
16×	`sqrt-prod_binary64_1117` `associate-*l/_binary64_1044`
14×	`associate-r_binary64_1041`
12×	`add-cube-cbrt_binary64_1136`
10×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-*r/_binary64_1043` `add-cbrt-cube_binary64_1137`
8×	`difference-of-squares_binary64_1070` `distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
5×	`add-log-exp_binary64_1140` `associate-l_binary64_1042`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172`
3×	`distribute-lft-out_binary64_1052` `sub-neg_binary64_1094`
2×	`*-commutative_binary64_1032`
1×	`diff-log_binary64_1193` `unswap-sqr_binary64_1069`

Counts

3 → 118

Calls

3 calls:

19.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))
10.0ms	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))
5.0ms	(-.f64 1 (sqrt.f64 z))

series354.0ms (13.8%)

Counts

3 → 33

Calls

3 calls:

215.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))
124.0ms	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))
15.0ms	(-.f64 1 (sqrt.f64 z))

Compiler

Compiled 870 to 693 computations (20.3% saved)

simplify76.0ms (3%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4988	3046
1	4988	3046

prune122.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	3	154

Merged error: 0b

Counts

154 → 3

Compiler

Compiled 2897 to 1324 computations (54.3% saved)

regimes102.0ms (4%)

Compiler: Compiled 656 to 542 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample554.0ms (21.6%)

Algorithm

1×

intervals

Results

207.0ms	7998×	body	128	valid
16.0ms	655×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 119 to 100 computations (16% saved)

Details

analyze311.0ms (12.1%)

sample15.0ms (0.6%)

simplify125.0ms (4.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite18.0ms (0.7%)

series121.0ms (4.7%)

simplify63.0ms (2.4%)

prune38.0ms (1.5%)

localize7.0ms (0.3%)

rewrite48.0ms (1.9%)

series344.0ms (13.4%)

simplify86.0ms (3.3%)

prune123.0ms (4.8%)

localize8.0ms (0.3%)

rewrite47.0ms (1.8%)

series354.0ms (13.8%)

simplify76.0ms (3%)

prune122.0ms (4.7%)

regimes102.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample554.0ms (21.6%)

Profiling