Details

analyze313.0ms (20.3%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify187.0ms (12.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune4.0ms (0.2%)

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: 0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_5153` `*-un-lft-identity_binary64_5132`
4×	`add-cube-cbrt_binary64_5164` `add-cbrt-cube_binary64_5165` `add-log-exp_binary64_5168` `pow1_binary64_5190` `add-exp-log_binary64_5167` `associate-r_binary64_5074`
3×	`associate-l_binary64_5075`
2×	`distribute-lft-in_binary64_5083` `associate-*r/_binary64_5076` `distribute-rgt-in_binary64_5084` `associate--l+_binary64_5071`
1×	`flip3--_binary64_5136` `flip3-+_binary64_5135` `sub-neg_binary64_5125` `unswap-sqr_binary64_5100` `*-commutative_binary64_5065` `prod-exp_binary64_5178` `distribute-lft-out_binary64_5085` `flip--_binary64_5107` `pow-prod-down_binary64_5200` `diff-log_binary64_5221` `flip-+_binary64_5106` `cbrt-unprod_binary64_5162`

Counts

2 → 36

Calls

2 calls:

9.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
8.0ms	(*.f64 x (+.f64 y z))

series108.0ms (7%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
50.0ms	(*.f64 x (+.f64 y z))

simplify79.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5013	470

prune24.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 497 to 126 computations (74.6% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_5153`
7×	`associate-l_binary64_5075` `*-un-lft-identity_binary64_5132`
4×	`add-cube-cbrt_binary64_5164` `add-cbrt-cube_binary64_5165` `add-log-exp_binary64_5168` `pow1_binary64_5190` `add-exp-log_binary64_5167`
3×	`associate-r_binary64_5074`
2×	`associate-*l/_binary64_5077` `difference-of-squares_binary64_5101`
1×	`flip3--_binary64_5136` `flip3-+_binary64_5135` `unswap-sqr_binary64_5100` `*-commutative_binary64_5065` `prod-exp_binary64_5178` `+-commutative_binary64_5064` `distribute-lft-out--_binary64_5086` `flip--_binary64_5107` `pow-prod-down_binary64_5200` `sum-log_binary64_5220` `difference-of-sqr-1_binary64_5102` `flip-+_binary64_5106` `cbrt-unprod_binary64_5162`

Counts

2 → 35

Calls

2 calls:

11.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

series92.0ms (6%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
40.0ms	(*.f64 (-.f64 x 1) z)

simplify70.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4973	473
1	4973	473

prune31.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Merged error: 0b

Counts

43 → 2

Compiler

Compiled 555 to 255 computations (54.1% saved)

regimes34.0ms (2.2%)

Compiler: Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample533.0ms (34.5%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
20.0ms	672×	body	128	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

Details

analyze313.0ms (20.3%)

sample17.0ms (1.1%)

simplify187.0ms (12.1%)

prune4.0ms (0.2%)

localize6.0ms (0.4%)

rewrite19.0ms (1.2%)

series108.0ms (7%)

simplify79.0ms (5.1%)

prune24.0ms (1.6%)

localize7.0ms (0.5%)

rewrite18.0ms (1.2%)

series92.0ms (6%)

simplify70.0ms (4.5%)

prune31.0ms (2%)

regimes34.0ms (2.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample533.0ms (34.5%)

Profiling