Details

analyze136.0ms (5.5%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample27.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify176.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_7943`
7×	`*-un-lft-identity_binary64_7921`
6×	`cancel-sign-sub-inv_binary64_7887`
5×	`associate-r_binary64_7861` `add-cube-cbrt_binary64_7956`
4×	`distribute-lft-in_binary64_7870` `distribute-rgt-in_binary64_7871`
3×	`add-cbrt-cube_binary64_7957` `associate-l_binary64_7862` `pow1_binary64_7982` `add-exp-log_binary64_7959`
2×	`sub-neg_binary64_7914` `associate-*r/_binary64_7863`
1×	`distribute-lft-out--_binary64_7873` `flip3--_binary64_7925` `add-log-exp_binary64_7960` `unswap-sqr_binary64_7889` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `difference-of-squares_binary64_7890` `*-commutative_binary64_7852` `flip--_binary64_7896` `pow-prod-down_binary64_7992`

Counts

1 → 30

Calls

1 calls:

15.0ms

(*.f64 500 (-.f64 x y))

series38.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 500 (-.f64 x y))

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4959	298
1	4959	298

prune43.0ms (1.7%)

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

Merged error: 0b

Counts

34 → 2

Compiler

Compiled 310 to 175 computations (43.5% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))

rewrite62.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_7952`
37×	`add-sqr-sqrt_binary64_7943`
35×	`*-un-lft-identity_binary64_7921`
18×	`cbrt-div_binary64_7953`
15×	`add-cube-cbrt_binary64_7956`
11×	`pow1_binary64_7982`
10×	`swap-sqr_binary64_7888`
9×	`distribute-lft-out--_binary64_7873` `flip3--_binary64_7925` `pow1/3_binary64_8003` `flip--_binary64_7896`
8×	`associate-r_binary64_7861` `associate-l_binary64_7862`
7×	`difference-of-squares_binary64_7890`
6×	`add-exp-log_binary64_7959`
4×	`add-log-exp_binary64_7960` `frac-times_binary64_7931` `add-cbrt-cube_binary64_7957` `unswap-sqr_binary64_7889`
2×	`associate-r/_binary64_7863` `associate-l/_binary64_7864` `pow-prod-up_binary64_7991` `pow-sqr_binary64_7894` `pow-prod-down_binary64_7992`
1×	`pow2_binary64_8002` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `pow-plus_binary64_7984` `*-commutative_binary64_7852`

Counts

4 → 101

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
7.0ms	(cbrt.f64 (-.f64 x y))
6.0ms	(cbrt.f64 (-.f64 x y))
6.0ms	(cbrt.f64 (-.f64 x y))

series828.0ms (33.5%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
210.0ms	(cbrt.f64 (-.f64 x y))
198.0ms	(cbrt.f64 (-.f64 x y))
179.0ms	(cbrt.f64 (-.f64 x y))

simplify156.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4914	1626
1	4914	1626

prune150.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

Compiler

Compiled 2414 to 780 computations (67.7% saved)

regimes74.0ms (3%)

Compiler: Compiled 156 to 112 computations (28.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample663.0ms (26.8%)

Algorithm

1×

intervals

Results

277.0ms	7983×	body	128	valid
2.0ms	71×	body	128	invalid
1.0ms	5×	body	2048	valid
1.0ms	5×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 45 to 35 computations (22.2% saved)

Details

analyze136.0ms (5.5%)

sample27.0ms (1.1%)

simplify176.0ms (7.1%)

prune4.0ms (0.2%)

localize7.0ms (0.3%)

rewrite19.0ms (0.8%)

series38.0ms (1.5%)

simplify72.0ms (2.9%)

prune43.0ms (1.7%)

localize16.0ms (0.6%)

rewrite62.0ms (2.5%)

series828.0ms (33.5%)

simplify156.0ms (6.3%)

prune150.0ms (6.1%)

regimes74.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample663.0ms (26.8%)

Profiling