Details

analyze26.0ms (0.7%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify172.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	64	10
1	64	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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_18275`
22×	`add-sqr-sqrt_binary64_18296`
20×	`times-frac_binary64_18281`
12×	`add-cube-cbrt_binary64_18307`
6×	`distribute-lft-out_binary64_18228`
5×	`associate-/r*_binary64_18221` `distribute-lft-out--_binary64_18229` `difference-of-squares_binary64_18244`
4×	`associate-/l*_binary64_18222`
3×	`add-exp-log_binary64_18310` `add-cbrt-cube_binary64_18308`
2×	`associate-/l/_binary64_18224` `associate-/r/_binary64_18223`
1×	`clear-num_binary64_18274` `flip3--_binary64_18279` `add-log-exp_binary64_18311` `flip-+_binary64_18249` `pow1_binary64_18333` `div-exp_binary64_18323` `div-inv_binary64_18272` `frac-2neg_binary64_18286` `cbrt-undiv_binary64_18306` `flip--_binary64_18250` `flip3-+_binary64_18278`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series81.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

81.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5123	802

prune43.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

Compiler

Compiled 747 to 180 computations (75.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.1b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_18281`
174×	`*-un-lft-identity_binary64_18275`
122×	`add-sqr-sqrt_binary64_18296`
80×	`add-cube-cbrt_binary64_18307`
30×	`associate-/r*_binary64_18221`
26×	`distribute-lft-out_binary64_18228`
21×	`distribute-lft-out--_binary64_18229` `difference-of-squares_binary64_18244`
15×	`add-exp-log_binary64_18310`
11×	`associate-/r/_binary64_18223`
9×	`add-cbrt-cube_binary64_18308`
8×	`div-exp_binary64_18323` `associate-/l*_binary64_18222`
6×	`div-inv_binary64_18272`
5×	`flip-+_binary64_18249` `flip3-+_binary64_18278`
4×	`cbrt-undiv_binary64_18306`
3×	`pow1_binary64_18333`
2×	`clear-num_binary64_18274` `add-log-exp_binary64_18311` `1-exp_binary64_18316` `rec-exp_binary64_18322` `associate-/l/_binary64_18224` `frac-2neg_binary64_18286`
1×	`inv-pow_binary64_18357` `flip3--_binary64_18279` `pow-flip_binary64_18346` `flip--_binary64_18250` `div-sub_binary64_18280`

Counts

2 → 174

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series176.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
86.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4949	3649
1	4949	3649

prune125.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	179	7	186

Merged error: 0b

Counts

186 → 7

Compiler

Compiled 3094 to 787 computations (74.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.1b	(/.f64 (-.f64 x y) (+.f64 x y))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

rewrite138.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

445×	`*-un-lft-identity_binary64_18275`
443×	`times-frac_binary64_18281`
313×	`add-sqr-sqrt_binary64_18296`
290×	`cbrt-prod_binary64_18303`
207×	`add-cube-cbrt_binary64_18307`
156×	`cube-prod_binary64_18300` `unpow-prod-down_binary64_18351`
66×	`distribute-lft-out_binary64_18228`
65×	`associate-/r*_binary64_18221`
53×	`distribute-lft-out--_binary64_18229` `difference-of-squares_binary64_18244`
27×	`associate-/r/_binary64_18223`
14×	`div-inv_binary64_18272`
13×	`add-exp-log_binary64_18310` `flip-+_binary64_18249` `flip3-+_binary64_18278`
10×	`add-cbrt-cube_binary64_18308`
8×	`associate-/l*_binary64_18222`
6×	`unpow3_binary64_18338` `sqr-pow_binary64_18247` `cube-mult_binary64_18302` `pow1_binary64_18333`
4×	`add-log-exp_binary64_18311` `div-exp_binary64_18323`
3×	`cube-div_binary64_18301` `pow-unpow_binary64_18349` `cbrt-undiv_binary64_18306`
2×	`clear-num_binary64_18274` `pow-exp_binary64_18340` `pow-flip_binary64_18346` `cbrt-div_binary64_18304` `associate-/l/_binary64_18224` `pow1/3_binary64_18354` `rem-cube-cbrt_binary64_18297` `frac-2neg_binary64_18286`
1×	`inv-pow_binary64_18357` `flip3--_binary64_18279` `1-exp_binary64_18316` `rec-exp_binary64_18322` `pow-pow_binary64_18344` `pow-to-exp_binary64_18341` `flip--_binary64_18250` `div-sub_binary64_18280` `rem-cbrt-cube_binary64_18298`

Counts

4 → 451

Calls

4 calls:

27.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
17.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
12.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series405.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
117.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
94.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
76.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify161.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5263	10467

prune427.0ms (11.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	463	0	463
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	463	7	470

Merged error: 0b

Counts

470 → 7

Compiler

Compiled 8992 to 3295 computations (63.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_18303`
37×	`add-sqr-sqrt_binary64_18296`
35×	`*-un-lft-identity_binary64_18275`
18×	`cbrt-div_binary64_18304`
15×	`add-cube-cbrt_binary64_18307`
11×	`pow1_binary64_18333`
10×	`swap-sqr_binary64_18242`
9×	`flip3--_binary64_18279` `pow1/3_binary64_18354` `distribute-lft-out--_binary64_18229` `flip--_binary64_18250`
8×	`associate-l_binary64_18218` `associate-r_binary64_18217`
7×	`difference-of-squares_binary64_18244`
6×	`add-exp-log_binary64_18310`
4×	`add-log-exp_binary64_18311` `unswap-sqr_binary64_18243` `frac-times_binary64_18285` `add-cbrt-cube_binary64_18308`
2×	`pow-sqr_binary64_18248` `pow-prod-down_binary64_18343` `associate-l/_binary64_18220` `associate-r/_binary64_18219` `pow-prod-up_binary64_18342`
1×	`pow2_binary64_18353` `pow-plus_binary64_18335` `*-commutative_binary64_18208` `cbrt-unprod_binary64_18305` `prod-exp_binary64_18321`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))

series883.0ms (24.6%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt.f64 (-.f64 x y))
219.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
219.0ms	(cbrt.f64 (-.f64 x y))
218.0ms	(cbrt.f64 (-.f64 x y))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4986	1654
1	4986	1654

prune100.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	7	120

Merged error: 0b

Counts

120 → 7

Compiler

Compiled 2881 to 808 computations (72% saved)

regimes32.0ms (0.9%)

Compiler: Compiled 208 to 128 computations (38.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample462.0ms (12.9%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 132 to 83 computations (37.1% saved)

Details

analyze26.0ms (0.7%)

sample13.0ms (0.4%)

simplify172.0ms (4.8%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite13.0ms (0.4%)

series81.0ms (2.3%)

simplify69.0ms (1.9%)

prune43.0ms (1.2%)

localize6.0ms (0.2%)

rewrite42.0ms (1.2%)

series176.0ms (4.9%)

simplify91.0ms (2.5%)

prune125.0ms (3.5%)

localize10.0ms (0.3%)

rewrite138.0ms (3.8%)

series405.0ms (11.3%)

simplify161.0ms (4.5%)

prune427.0ms (11.9%)

localize10.0ms (0.3%)

rewrite35.0ms (1%)

series883.0ms (24.6%)

simplify57.0ms (1.6%)

prune100.0ms (2.8%)

regimes32.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample462.0ms (12.9%)

Profiling