Details

analyze1.2s (6.3%)

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample35.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
2.0ms	28×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify267.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune9.0ms (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

Error

5.6b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

5.8b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.8b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite122.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64_13730`
180×	`add-sqr-sqrt_binary64_13746`
171×	`*-un-lft-identity_binary64_13724`
121×	`add-cube-cbrt_binary64_13759`
67×	`associate-r_binary64_13664`
25×	`difference-of-squares_binary64_13693` `distribute-lft-out--_binary64_13676`
24×	`associate-/l*_binary64_13669`
19×	`add-exp-log_binary64_13762` `add-cbrt-cube_binary64_13760`
16×	`associate-/r/_binary64_13670`
10×	`div-inv_binary64_13721`
8×	`flip3--_binary64_13728` `flip--_binary64_13699` `associate-/r*_binary64_13668`
7×	`cbrt-undiv_binary64_13758` `div-exp_binary64_13775`
5×	`pow1_binary64_13785`
3×	`unswap-sqr_binary64_13692` `associate-l_binary64_13665` `cbrt-unprod_binary64_13757` `add-log-exp_binary64_13763` `prod-exp_binary64_13773`
2×	`clear-num_binary64_13723` `frac-2neg_binary64_13735`
1×	`pow-prod-down_binary64_13795` `associate-/l/_binary64_13671` `associate-r/_binary64_13666` `-commutative_binary64_13655`

Counts

3 → 228

Calls

6 calls:

52.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
17.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
9.0ms	(/.f64 2 (-.f64 y t))
0.0ms	(/.f64 2 (-.f64 y t))
0.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)

series800.0ms (4.3%)

Counts

3 → 63

Calls

3 calls:

427.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
242.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
131.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 1580 to 1396 computations (11.6% saved)

simplify245.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4969	5683
1	4969	5683

prune561.0ms (3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	284	7	291
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	284	9	293

Error

0.0b

Counts

293 → 9

Compiler

Compiled 5403 to 2497 computations (53.8% saved)

localize23.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z)
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
3.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))

rewrite160.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_13730`
126×	`cbrt-prod_binary64_13755`
122×	`*-un-lft-identity_binary64_13724` `add-sqr-sqrt_binary64_13746`
86×	`add-cube-cbrt_binary64_13759`
76×	`associate-r_binary64_13664`
25×	`add-exp-log_binary64_13762`
18×	`difference-of-squares_binary64_13693` `add-cbrt-cube_binary64_13760` `distribute-lft-out--_binary64_13676`
13×	`pow1_binary64_13785`
12×	`associate-/r/_binary64_13670` `cbrt-unprod_binary64_13757` `prod-exp_binary64_13773`
11×	`cbrt-div_binary64_13756`
9×	`associate-*r/_binary64_13666`
7×	`div-inv_binary64_13721`
6×	`pow-prod-down_binary64_13795` `flip3--_binary64_13728` `flip--_binary64_13699`
5×	`frac-times_binary64_13734` `associate-*l/_binary64_13667`
4×	`add-log-exp_binary64_13763`
3×	`pow1/3_binary64_13806` `cbrt-undiv_binary64_13758` `div-exp_binary64_13775`
1×	`associate-l_binary64_13665` `*-commutative_binary64_13655`

Counts

4 → 197

Calls

8 calls:

79.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))
11.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
10.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.0ms	(/.f64 2 (-.f64 y t))

series1.3s (7.1%)

Counts

4 → 42

Calls

4 calls:

903.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))
142.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
132.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
132.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

Compiler

Compiled 2061 to 1787 computations (13.3% saved)

simplify215.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4965	6323
1	4965	6323

prune573.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	238	10	248

Error

Counts

248 → 10

Compiler

Compiled 7216 to 3911 computations (45.8% saved)

localize48.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
2.1b	(.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite115.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`cbrt-prod_binary64_13755`
51×	`*-un-lft-identity_binary64_13724` `add-sqr-sqrt_binary64_13746`
49×	`times-frac_binary64_13730`
40×	`add-exp-log_binary64_13762`
33×	`add-cube-cbrt_binary64_13759`
22×	`add-cbrt-cube_binary64_13760`
21×	`cbrt-unprod_binary64_13757` `prod-exp_binary64_13773`
13×	`pow1_binary64_13785`
11×	`cbrt-div_binary64_13756`
9×	`difference-of-squares_binary64_13693` `associate-*r/_binary64_13666` `distribute-lft-out--_binary64_13676`
8×	`associate-r_binary64_13664`
6×	`associate-/r/_binary64_13670` `pow-prod-down_binary64_13795` `cbrt-undiv_binary64_13758` `div-exp_binary64_13775`
5×	`frac-times_binary64_13734` `associate-*l/_binary64_13667`
4×	`add-log-exp_binary64_13763` `div-inv_binary64_13721`
3×	`pow1/3_binary64_13806` `flip3--_binary64_13728` `flip--_binary64_13699`
1×	`associate-l_binary64_13665` `*-commutative_binary64_13655`

Counts

4 → 135

Calls

8 calls:

44.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
10.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
10.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.0ms	(/.f64 2 (-.f64 y t))

series2.7s (14.6%)

Counts

4 → 30

Calls

4 calls:

2.3s	(.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
148.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
146.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
145.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

Compiler

Compiled 3033 to 2394 computations (21.1% saved)

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5344	4667

prune673.0ms (3.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	165	10	175

Error

Counts

175 → 10

Compiler

Compiled 8569 to 4646 computations (45.8% saved)

localize14.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.4b	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
0.0b	(/.f64 2 (-.f64 y t))
0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
4.4b	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite64.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_13746`
39×	`*-un-lft-identity_binary64_13724`
34×	`times-frac_binary64_13730`
25×	`add-cube-cbrt_binary64_13759`
21×	`associate-r_binary64_13664`
19×	`add-exp-log_binary64_13762` `add-cbrt-cube_binary64_13760`
8×	`associate-/r*_binary64_13668`
7×	`difference-of-squares_binary64_13693` `distribute-lft-out--_binary64_13676`
6×	`cbrt-undiv_binary64_13758` `div-exp_binary64_13775`
5×	`pow1_binary64_13785`
4×	`associate-/r/_binary64_13670` `associate-/l*_binary64_13669` `cbrt-unprod_binary64_13757` `prod-exp_binary64_13773`
3×	`associate-l_binary64_13665` `add-log-exp_binary64_13763` `div-inv_binary64_13721`
2×	`unswap-sqr_binary64_13692` `flip3--_binary64_13728` `flip--_binary64_13699` `clear-num_binary64_13723` `associate-*r/_binary64_13666` `frac-2neg_binary64_13735`
1×	`pow-prod-down_binary64_13795` `associate-/l/_binary64_13671` `*-commutative_binary64_13655`

Counts

3 → 101

Calls

6 calls:

21.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
17.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
10.0ms	(/.f64 2 (-.f64 y t))
0.0ms	(/.f64 2 (-.f64 y t))
0.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))

series845.0ms (4.6%)

Counts

3 → 63

Calls

3 calls:

450.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
260.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
135.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 1550 to 1366 computations (11.9% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5069	2612

prune244.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	3	3	6
Picked	1	0	1
Done	2	1	3
Total	167	7	174

Error

Counts

174 → 7

Compiler

Compiled 2455 to 1155 computations (53% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	316	1202
1	316	1202

regimes1.1s (6.1%)

Accuracy

Total 1.7b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5666 to 4765 computations (15.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	49
1	28	49

end0.0ms (0%)

sample6.9s (37.2%)

Algorithm

1×

intervals

Results

570.0ms	8000×	body	128	valid
46.0ms	670×	body	128	invalid

Compiler

Compiled 2434 to 1998 computations (17.9% saved)

Pareto

0.12325176116359177

Details

analyze1.2s (6.3%)

sample35.0ms (0.2%)

simplify267.0ms (1.4%)

prune9.0ms (0%)

localize16.0ms (0.1%)

rewrite122.0ms (0.7%)

series800.0ms (4.3%)

simplify245.0ms (1.3%)

prune561.0ms (3%)

localize23.0ms (0.1%)

rewrite160.0ms (0.9%)

series1.3s (7.1%)

simplify215.0ms (1.2%)

prune573.0ms (3.1%)

localize48.0ms (0.3%)

rewrite115.0ms (0.6%)

series2.7s (14.6%)

simplify116.0ms (0.6%)

prune673.0ms (3.6%)

localize14.0ms (0.1%)

rewrite64.0ms (0.3%)

series845.0ms (4.6%)

simplify111.0ms (0.6%)

prune244.0ms (1.3%)

simplify36.0ms (0.2%)

regimes1.1s (6.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.9s (37.2%)

Profiling