Details

analyze1.3s (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample46.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	49×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify674.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (521.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

prune4.0ms (0%)

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: 6.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite153.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64_10671`
107×	`*-un-lft-identity_binary64_10649`
88×	`times-frac_binary64_10655`
72×	`cancel-sign-sub-inv_binary64_10615`
46×	`add-cube-cbrt_binary64_10684`
34×	`difference-of-squares_binary64_10618`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
21×	`distribute-lft-out--_binary64_10601`
10×	`associate-r_binary64_10589`
8×	`associate-/r/_binary64_10595`
7×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
6×	`associate-/r*_binary64_10593` `flip3--_binary64_10653` `flip--_binary64_10624`
5×	`add-log-exp_binary64_10688` `pow1_binary64_10710`
4×	`div-inv_binary64_10646`
3×	`sub-neg_binary64_10642` `associate-/l_binary64_10594` `associate-l_binary64_10590` `associate-r/_binary64_10591`
2×	`frac-sub_binary64_10658`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `unswap-sqr_binary64_10617` `div-exp_binary64_10700` `*-commutative_binary64_10580` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `diff-log_binary64_10741`

Counts

3 → 162

Calls

3 calls:

65.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
46.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
11.0ms	(/.f64 t (-.f64 1 z))

series225.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

123.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
58.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
44.0ms	(/.f64 t (-.f64 1 z))

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5013	3246

prune310.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	158	13	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	14	172

Merged error: 1.4b

Counts

172 → 14

Compiler

Compiled 3348 to 1675 computations (50% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
0.9b	(/.f64 1 (/.f64 (-.f64 1 z) t))
6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))

rewrite374.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

536×	`times-frac_binary64_10655`
412×	`add-sqr-sqrt_binary64_10671`
366×	`*-un-lft-identity_binary64_10649`
227×	`add-cube-cbrt_binary64_10684`
213×	`cancel-sign-sub-inv_binary64_10615`
98×	`difference-of-squares_binary64_10618`
72×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
45×	`distribute-lft-out--_binary64_10601`
22×	`associate-/r*_binary64_10593`
19×	`div-inv_binary64_10646`
16×	`add-exp-log_binary64_10687` `associate-r_binary64_10589`
10×	`add-cbrt-cube_binary64_10685`
7×	`div-exp_binary64_10700`
6×	`pow1_binary64_10710`
5×	`add-log-exp_binary64_10688`
4×	`associate-/r/_binary64_10595`
3×	`sub-neg_binary64_10642` `associate-/l_binary64_10594` `cbrt-undiv_binary64_10683` `associate-l_binary64_10590` `associate-r/_binary64_10591`
2×	`frac-sub_binary64_10658` `1-exp_binary64_10693` `flip3--_binary64_10653` `rec-exp_binary64_10699` `flip--_binary64_10624`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `clear-num_binary64_10648` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `frac-2neg_binary64_10660` `inv-pow_binary64_10734` `diff-log_binary64_10741` `pow-flip_binary64_10723`

Counts

3 → 386

Calls

3 calls:

127.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
115.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
19.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))

series211.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

119.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
60.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
32.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))

simplify263.0ms (2%)

Algorithm

1×	egg-herbie

Counts

395 → 395

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5343	9303

prune702.0ms (5.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	394	1	395
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	396	13	409

Merged error: 0.8b

Counts

409 → 13

Compiler

Compiled 8342 to 4233 computations (49.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.8b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite315.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`add-sqr-sqrt_binary64_10671`
157×	`*-un-lft-identity_binary64_10649`
144×	`cancel-sign-sub-inv_binary64_10615`
132×	`times-frac_binary64_10655`
75×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
70×	`add-cube-cbrt_binary64_10684`
48×	`difference-of-squares_binary64_10618`
30×	`distribute-lft-out--_binary64_10601` `associate-r_binary64_10589`
12×	`associate-/r/_binary64_10595` `associate-*r/_binary64_10591`
10×	`pow1_binary64_10710` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624`
9×	`associate-l_binary64_10590`
6×	`sub-neg_binary64_10642` `div-inv_binary64_10646`
4×	`frac-sub_binary64_10658` `add-log-exp_binary64_10688`
3×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `cbrt-div_binary64_10681` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`
1×	`cbrt-prod_binary64_10680` `pow1/3_binary64_10731`

Counts

4 → 246

Calls

4 calls:

65.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
59.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
58.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
45.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

series806.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

456.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
122.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
117.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
110.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify198.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4964	5713
1	4964	5713

prune1.0s (7.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	257	14	271

Merged error: 0.8b

Counts

271 → 14

Compiler

Compiled 11987 to 6251 computations (47.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.8b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.8b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
7.8b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite251.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64_10671`
91×	`*-un-lft-identity_binary64_10649`
68×	`times-frac_binary64_10655`
48×	`cancel-sign-sub-inv_binary64_10615`
30×	`cbrt-prod_binary64_10680`
29×	`add-cube-cbrt_binary64_10684`
28×	`difference-of-squares_binary64_10618`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
22×	`distribute-lft-out--_binary64_10601`
10×	`associate-r_binary64_10589`
9×	`cbrt-div_binary64_10681`
6×	`pow1_binary64_10710` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip3--_binary64_10653` `flip--_binary64_10624`
4×	`frac-sub_binary64_10658` `add-log-exp_binary64_10688` `associate-/r/_binary64_10595`
3×	`pow1/3_binary64_10731` `associate-l_binary64_10590` `associate-*r/_binary64_10591`
2×	`sub-neg_binary64_10642` `div-inv_binary64_10646`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`

Counts

4 → 141

Calls

4 calls:

58.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
48.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
45.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
45.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series872.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
243.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
239.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
120.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify178.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4966	3733
1	4966	3733

prune772.0ms (5.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	152	15	167

Merged error: 0.8b

Counts

167 → 15

Compiler

Compiled 10595 to 5746 computations (45.8% saved)

regimes1.3s (10%)

Compiler: Compiled 7075 to 5200 computations (26.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	79
1	69	79

end0.0ms (0%)

sample3.0s (22.4%)

Algorithm

1×

intervals

Results

589.0ms	8000×	body	128	valid
132.0ms	1809×	body	128	invalid

Compiler

Compiled 1198 to 873 computations (27.1% saved)

Details

analyze1.3s (9.7%)

sample46.0ms (0.4%)

simplify674.0ms (5.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite153.0ms (1.2%)

series225.0ms (1.7%)

simplify139.0ms (1.1%)

prune310.0ms (2.3%)

localize19.0ms (0.1%)

rewrite374.0ms (2.8%)

series211.0ms (1.6%)

simplify263.0ms (2%)

prune702.0ms (5.3%)

localize32.0ms (0.2%)

rewrite315.0ms (2.4%)

series806.0ms (6.1%)

simplify198.0ms (1.5%)

prune1.0s (7.9%)

localize42.0ms (0.3%)

rewrite251.0ms (1.9%)

series872.0ms (6.6%)

simplify178.0ms (1.3%)

prune772.0ms (5.8%)

regimes1.3s (10%)

bsearch4.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.0s (22.4%)

Profiling