Details

analyze302.0ms (15.7%)

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
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify180.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune3.0ms (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 12 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_5153`
6×	`*-un-lft-identity_binary64_5132`
5×	`associate-l_binary64_5075`
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`
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` `difference-of-squares_binary64_5101` `pow-prod-down_binary64_5200` `sum-log_binary64_5220` `flip-+_binary64_5106` `cbrt-unprod_binary64_5162`

Counts

2 → 33

Calls

2 calls:

9.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series123.0ms (6.4%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(*.f64 (-.f64 y x) z)
61.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

simplify79.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4804	448
1	4804	448

prune29.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

Compiler

Compiled 479 to 133 computations (72.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
1.2b	(-.f64 (.f64 y y) (.f64 x x))
10.2b	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
16.1b	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))

rewrite39.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_5132`
11×	`add-cbrt-cube_binary64_5165` `add-exp-log_binary64_5167`
10×	`add-sqr-sqrt_binary64_5153`
8×	`add-cube-cbrt_binary64_5164` `add-log-exp_binary64_5168`
6×	`pow1_binary64_5190`
4×	`associate-r/_binary64_5076` `associate-r_binary64_5074` `times-frac_binary64_5138` `associate-/r_binary64_5078`
3×	`associate-l_binary64_5075` `flip3--_binary64_5136` `sub-neg_binary64_5125` `distribute-lft-out_binary64_5085` `flip--_binary64_5107`
2×	`flip3-+_binary64_5135` `associate-/r/_binary64_5080` `cbrt-undiv_binary64_5163` `prod-exp_binary64_5178` `associate-/l/_binary64_5081` `div-exp_binary64_5180` `difference-of-squares_binary64_5101` `flip-+_binary64_5106` `cbrt-unprod_binary64_5162`
1×	`distribute-lft-in_binary64_5083` `unswap-sqr_binary64_5100` `-commutative_binary64_5065` `associate-/l_binary64_5079` `frac-2neg_binary64_5143` `+-commutative_binary64_5064` `pow-prod-down_binary64_5200` `sum-log_binary64_5220` `diff-log_binary64_5221` `distribute-rgt-in_binary64_5084` `clear-num_binary64_5131` `div-inv_binary64_5129`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))
8.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
8.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
4.0ms	(-.f64 (.f64 y y) (.f64 x x))

series447.0ms (23.2%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))
117.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
109.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
44.0ms	(-.f64 (.f64 y y) (.f64 x x))

simplify70.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	1215
1	4950	1215

prune59.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

Compiler

Compiled 1490 to 325 computations (78.2% saved)

regimes36.0ms (1.9%)

Compiler: Compiled 108 to 94 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample504.0ms (26.1%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
15.0ms	568×	body	128	invalid

Compiler

Compiled 37 to 32 computations (13.5% saved)

Details

analyze302.0ms (15.7%)

sample19.0ms (1%)

simplify180.0ms (9.3%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

rewrite19.0ms (1%)

series123.0ms (6.4%)

simplify79.0ms (4.1%)

prune29.0ms (1.5%)

localize11.0ms (0.6%)

rewrite39.0ms (2%)

series447.0ms (23.2%)

simplify70.0ms (3.7%)

prune59.0ms (3.1%)

regimes36.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample504.0ms (26.1%)

Profiling