Details

analyze472.0ms (15.3%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify183.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	5032	11

prune6.0ms (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: 1.0b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.3b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

9.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series46.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4986	729
1	4986	729

prune89.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.5b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 x (-.f64 y z))

series34.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
9.0ms	(/.f64 x (-.f64 y z))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5017	3094

prune181.0ms (5.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	191	5	196

Merged error: 0b

Counts

196 → 5

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.2b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
7.0b	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

rewrite74.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

395×	`times-frac_binary64`
329×	`add-sqr-sqrt_binary64`
318×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
111×	`associate-r_binary64`
80×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
31×	`add-exp-log_binary64`
28×	`associate-/r/_binary64`
24×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64`
14×	`flip3--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
10×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 327

Calls

3 calls:

32.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
13.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 1 (-.f64 y z))

series49.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
17.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 1 (-.f64 y z))

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5210	4596

prune376.0ms (12.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	336	5	341

Merged error: 0b

Counts

341 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y t))
0.6b	(cbrt.f64 (-.f64 y t))
0.6b	(cbrt.f64 (-.f64 y t))
7.3b	(/.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (cbrt.f64 (-.f64 y t))))

rewrite51.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`cbrt-div_binary64`
136×	`frac-times_binary64`
111×	`flip3--_binary64` `flip--_binary64`
80×	`associate-/r/_binary64`
50×	`associate-*l/_binary64`
44×	`associate-*r/_binary64`
18×	`add-exp-log_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
13×	`add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1/3_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
1×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 150

Calls

4 calls:

29.0ms	(/.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (cbrt.f64 (-.f64 y t))))
3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))

series121.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (-.f64 y t))
30.0ms	(cbrt.f64 (-.f64 y t))
30.0ms	(cbrt.f64 (-.f64 y t))
26.0ms	(/.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (cbrt.f64 (-.f64 y t))))

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5533	3155

prune181.0ms (5.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	162	5	167

Merged error: 0b

Counts

167 → 5

regimes381.0ms (12.4%)

Accuracy

Total 1.2b remaining (99.4%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	11
1	50	11

end0.0ms (0%)

sample506.0ms (16.4%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	80	valid
16.0ms	392×	body	80	invalid

Details

analyze472.0ms (15.3%)

sample20.0ms (0.6%)

simplify183.0ms (6%)

prune6.0ms (0.2%)

localize8.0ms (0.2%)

rewrite21.0ms (0.7%)

series46.0ms (1.5%)

simplify41.0ms (1.3%)

prune89.0ms (2.9%)

localize8.0ms (0.2%)

rewrite30.0ms (1%)

series34.0ms (1.1%)

simplify53.0ms (1.7%)

prune181.0ms (5.9%)

localize9.0ms (0.3%)

rewrite74.0ms (2.4%)

series49.0ms (1.6%)

simplify86.0ms (2.8%)

prune376.0ms (12.2%)

localize11.0ms (0.4%)

rewrite51.0ms (1.7%)

series121.0ms (3.9%)

simplify41.0ms (1.3%)

prune181.0ms (5.9%)

regimes381.0ms (12.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample506.0ms (16.4%)

Profiling