Details

analyze401.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune3.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.8b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
4.5b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite121.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

31×	`times-frac_binary64_10996`
26×	`add-exp-log_binary64_11028`
20×	`add-sqr-sqrt_binary64_11012`
18×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
16×	`add-cbrt-cube_binary64_11026`
13×	`associate-/l*_binary64_10935`
12×	`div-exp_binary64_11041`
6×	`cbrt-undiv_binary64_11024`
5×	`prod-exp_binary64_11039`
4×	`pow1_binary64_11051` `associate-*r/_binary64_10932`
3×	`cbrt-unprod_binary64_11023` `associate-l_binary64_10931` `associate-r_binary64_10930` `div-inv_binary64_10987`
2×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964` `1-exp_binary64_11034` `rec-exp_binary64_11040` `associate-/r/_binary64_10936`
1×	`pow-prod-down_binary64_11061` `unswap-sqr_binary64_10958` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `-commutative_binary64_10921` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-/r_binary64_10934`

Counts

2 → 74

Calls

2 calls:

14.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series325.0ms (4.4%)

Error

5.6b

Counts

2 → 27

Calls

2 calls:

216.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
84.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 962 to 756 computations (21.4% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune113.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Error

5.5b

Counts

102 → 9

Compiler

Compiled 1767 to 1025 computations (42% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
2.8b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
14.7b	(sqrt.f64 (+.f64 (*.f64 z z) 1))
14.7b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite413.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

48×	`add-exp-log_binary64_11028`
31×	`times-frac_binary64_10996`
30×	`add-cbrt-cube_binary64_11026`
28×	`sqrt-div_binary64_11007`
24×	`add-sqr-sqrt_binary64_11012`
22×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
18×	`div-exp_binary64_11041`
16×	`associate-*r/_binary64_10932`
15×	`prod-exp_binary64_11039`
14×	`flip3-+_binary64_10993` `flip-+_binary64_10964`
13×	`associate-/l*_binary64_10935`
11×	`pow1_binary64_11051`
9×	`sqrt-prod_binary64_11006` `cbrt-undiv_binary64_11024` `cbrt-unprod_binary64_11023`
8×	`frac-times_binary64_11000` `associate-/r/_binary64_10936`
6×	`associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `associate-*l/_binary64_10933`
3×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `div-inv_binary64_10987` `pow-prod-down_binary64_11061`
2×	`pow1/2_binary64_11070` `sqrt-pow1_binary64_11008` `rem-sqrt-square_binary64_11003`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-/r_binary64_10934` `associate-l_binary64_10931` `-commutative_binary64_10921`

Counts

4 → 123

Calls

4 calls:

16.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
13.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
4.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 3844 to 2283 computations (40.6% saved)

series457.0ms (6.3%)

Error

5.5b

Counts

4 → 49

Calls

4 calls:

221.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
86.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
53.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))
49.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 2054 to 1619 computations (21.2% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	3218
1	4961	3218

prune175.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	172	9	181

Error

5.5b

Counts

181 → 9

Compiler

Compiled 3699 to 1971 computations (46.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
2.7b	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
4.5b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite162.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

99×	`add-exp-log_binary64_11028`
44×	`prod-exp_binary64_11039`
34×	`div-exp_binary64_11041`
31×	`add-cbrt-cube_binary64_11026`
25×	`add-sqr-sqrt_binary64_11012`
17×	`*-un-lft-identity_binary64_10990` `1-exp_binary64_11034` `rec-exp_binary64_11040` `times-frac_binary64_10996`
16×	`add-cube-cbrt_binary64_11025` `associate-l_binary64_10931`
15×	`pow1_binary64_11051`
12×	`associate-r_binary64_10930`
10×	`cbrt-unprod_binary64_11023`
9×	`cbrt-undiv_binary64_11024`
7×	`pow-prod-down_binary64_11061` `associate-*r/_binary64_10932`
6×	`pow-flip_binary64_11064`
4×	`unswap-sqr_binary64_10958` `associate-/r/_binary64_10936`
3×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964` `inv-pow_binary64_11075` `div-inv_binary64_10987` `associate-/l*_binary64_10935`
2×	`*-commutative_binary64_10921`
1×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `frac-times_binary64_11000` `un-div-inv_binary64_10988` `associate-l/_binary64_10933` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/r_binary64_10934`

Counts

3 → 127

Calls

3 calls:

16.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
10.0ms	(.f64 y (+.f64 (.f64 z z) 1))
7.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))

Compiler

Compiled 2595 to 1633 computations (37.1% saved)

series443.0ms (6.1%)

Error

5.5b

Counts

3 → 42

Calls

3 calls:

211.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
106.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
87.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1623 to 1308 computations (19.4% saved)

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4930	2809
1	4930	2809

prune148.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	170	8	178

Error

5.5b

Counts

178 → 8

Compiler

Compiled 2852 to 1755 computations (38.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
2.6b	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
4.5b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite145.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

42×	`times-frac_binary64_10996`
35×	`add-exp-log_binary64_11028`
27×	`add-sqr-sqrt_binary64_11012`
25×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
19×	`add-cbrt-cube_binary64_11026`
15×	`div-exp_binary64_11041`
12×	`associate-r/_binary64_10932` `associate-/l_binary64_10935`
10×	`associate-/r/_binary64_10936`
8×	`pow1_binary64_11051`
7×	`prod-exp_binary64_11039` `cbrt-undiv_binary64_11024`
6×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `div-inv_binary64_10987`
4×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `associate-/r*_binary64_10934`
3×	`add-log-exp_binary64_11029` `cbrt-unprod_binary64_11023` `associate-l_binary64_10931` `associate-r_binary64_10930`
2×	`pow-prod-down_binary64_11061` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `pow-flip_binary64_11064`
1×	`unswap-sqr_binary64_10958` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `*-commutative_binary64_10921` `associate-/l/_binary64_10937` `inv-pow_binary64_11075`

Counts

3 → 112

Calls

3 calls:

11.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
11.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
7.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 2238 to 1284 computations (42.6% saved)

series429.0ms (5.9%)

Error

5.5b

Counts

3 → 42

Calls

3 calls:

203.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
106.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
84.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1509 to 1194 computations (20.9% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4934	2937
1	4934	2937

prune123.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	154	8	162

Error

5.5b

Counts

162 → 8

Compiler

Compiled 2564 to 1295 computations (49.5% saved)

regimes1.2s (16.8%)

Accuracy

Total 1.5b remaining (23%)

Threshold costs 0b (0%)

Compiler

Compiled 14246 to 11739 computations (17.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Compiler

Compiled 22 to 20 computations (9.1% saved)

end0.0ms (0%)

sample2.2s (30%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
15.0ms	461×	body	128	invalid

Compiler

Compiled 1611 to 1324 computations (17.8% saved)

Details

analyze401.0ms (5.5%)

sample26.0ms (0.4%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite121.0ms (1.7%)

series325.0ms (4.4%)

simplify73.0ms (1%)

prune113.0ms (1.5%)

localize12.0ms (0.2%)

rewrite413.0ms (5.6%)

series457.0ms (6.3%)

simplify83.0ms (1.1%)

prune175.0ms (2.4%)

localize8.0ms (0.1%)

rewrite162.0ms (2.2%)

series443.0ms (6.1%)

simplify103.0ms (1.4%)

prune148.0ms (2%)

localize7.0ms (0.1%)

rewrite145.0ms (2%)

series429.0ms (5.9%)

simplify90.0ms (1.2%)

prune123.0ms (1.7%)

regimes1.2s (16.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.2s (30%)

Profiling