Details

analyze258.0ms (2.6%)

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
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

Compiler

Compiled 32 to 28 computations (12.5% saved)

sample117.0ms (1.2%)

Algorithm

1×

intervals

Results

44.0ms	149×	body	512	valid
27.0ms	286×	body	128	nan
20.0ms	53×	body	1024	valid
5.0ms	26×	body	256	valid
3.0ms	28×	body	128	valid

Compiler

Compiled 63 to 59 computations (6.3% saved)

simplify221.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5203	50

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.9b

Counts

2 → 1

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.7b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_13241`
32×	`sqrt-prod_binary64_13235` `*-un-lft-identity_binary64_13220`
16×	`difference-of-squares_binary64_13189`
12×	`add-log-exp_binary64_13256` `distribute-lft-out--_binary64_13174`
4×	`flip--_binary64_13195` `diff-log_binary64_13309` `add-exp-log_binary64_13255` `pow1_binary64_13278` `distribute-lft-out_binary64_13173` `add-cube-cbrt_binary64_13252` `add-cbrt-cube_binary64_13253` `sub-neg_binary64_13213` `flip3--_binary64_13224`

Counts

4 → 72

Calls

4 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
10.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
10.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series280.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
73.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
67.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
66.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5002	2087

prune198.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.3b

Counts

85 → 7

Compiler

Compiled 3741 to 2452 computations (34.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.7b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64_13220`
40×	`sqrt-prod_binary64_13235`
39×	`add-sqr-sqrt_binary64_13241`
19×	`distribute-lft-out_binary64_13173`
18×	`times-frac_binary64_13226`
15×	`add-cube-cbrt_binary64_13252`
12×	`difference-of-squares_binary64_13189`
10×	`add-log-exp_binary64_13256`
9×	`distribute-lft-out--_binary64_13174`
8×	`add-exp-log_binary64_13255`
6×	`associate-/r*_binary64_13166` `add-cbrt-cube_binary64_13253`
5×	`pow1_binary64_13278`
3×	`flip--_binary64_13195` `diff-log_binary64_13309` `associate-/l*_binary64_13167` `sub-neg_binary64_13213` `flip3--_binary64_13224`
2×	`associate-/r/_binary64_13168` `div-exp_binary64_13268`
1×	`clear-num_binary64_13219` `pow-flip_binary64_13291` `rec-exp_binary64_13267` `flip-+_binary64_13194` `div-inv_binary64_13217` `frac-2neg_binary64_13231` `1-exp_binary64_13261` `cbrt-undiv_binary64_13251` `flip3-+_binary64_13223` `inv-pow_binary64_13302`

Counts

4 → 99

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
10.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series272.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
74.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
68.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
55.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4876	2505
1	4876	2505

prune261.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0.1b

Counts

118 → 8

Compiler

Compiled 4980 to 3332 computations (33.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.7b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64_13220`
48×	`sqrt-prod_binary64_13235`
42×	`add-sqr-sqrt_binary64_13241`
36×	`times-frac_binary64_13226`
34×	`distribute-lft-out_binary64_13173`
26×	`add-cube-cbrt_binary64_13252`
12×	`associate-/r*_binary64_13166` `add-exp-log_binary64_13255`
8×	`difference-of-squares_binary64_13189` `add-log-exp_binary64_13256` `add-cbrt-cube_binary64_13253`
6×	`pow1_binary64_13278` `distribute-lft-out--_binary64_13174` `associate-/l*_binary64_13167`
4×	`associate-/r/_binary64_13168` `div-exp_binary64_13268`
2×	`clear-num_binary64_13219` `pow-flip_binary64_13291` `flip--_binary64_13195` `rec-exp_binary64_13267` `flip-+_binary64_13194` `div-inv_binary64_13217` `diff-log_binary64_13309` `frac-2neg_binary64_13231` `1-exp_binary64_13261` `cbrt-undiv_binary64_13251` `flip3-+_binary64_13223` `sub-neg_binary64_13213` `flip3--_binary64_13224` `inv-pow_binary64_13302`

Counts

4 → 126

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

series247.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
64.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
55.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
54.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4876	2988
1	4876	2988

prune352.0ms (3.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 0.1b

Counts

146 → 9

Compiler

Compiled 6362 to 4346 computations (31.7% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.7b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

128×	`*-un-lft-identity_binary64_13220`
56×	`sqrt-prod_binary64_13235`
54×	`times-frac_binary64_13226`
49×	`distribute-lft-out_binary64_13173`
45×	`add-sqr-sqrt_binary64_13241`
37×	`add-cube-cbrt_binary64_13252`
18×	`associate-/r*_binary64_13166`
16×	`add-exp-log_binary64_13255`
10×	`add-cbrt-cube_binary64_13253`
9×	`associate-/l*_binary64_13167`
7×	`pow1_binary64_13278`
6×	`associate-/r/_binary64_13168` `add-log-exp_binary64_13256` `div-exp_binary64_13268`
4×	`difference-of-squares_binary64_13189`
3×	`clear-num_binary64_13219` `pow-flip_binary64_13291` `rec-exp_binary64_13267` `flip-+_binary64_13194` `div-inv_binary64_13217` `distribute-lft-out--_binary64_13174` `frac-2neg_binary64_13231` `1-exp_binary64_13261` `cbrt-undiv_binary64_13251` `flip3-+_binary64_13223` `inv-pow_binary64_13302`
1×	`flip--_binary64_13195` `diff-log_binary64_13309` `sub-neg_binary64_13213` `flip3--_binary64_13224`

Counts

4 → 153

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
10.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

series232.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
59.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
58.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
52.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5612	3411

prune400.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	166	8	174

Merged error: 0.0b

Counts

174 → 8

Compiler

Compiled 7336 to 5048 computations (31.2% saved)

regimes1.4s (14.3%)

Compiler: Compiled 22802 to 19183 computations (15.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	62
1	41	62

end0.0ms (0%)

sample5.1s (51%)

Algorithm

1×

intervals

Results

1.3s	4436×	body	512	valid
940.0ms	9728×	body	128	nan
663.0ms	1677×	body	1024	valid
192.0ms	1040×	body	256	valid
87.0ms	847×	body	128	valid

Compiler

Compiled 1716 to 1447 computations (15.7% saved)

Details

analyze258.0ms (2.6%)

sample117.0ms (1.2%)

simplify221.0ms (2.2%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite48.0ms (0.5%)

series280.0ms (2.8%)

simplify46.0ms (0.5%)

prune198.0ms (2%)

localize25.0ms (0.3%)

rewrite53.0ms (0.5%)

series272.0ms (2.7%)

simplify71.0ms (0.7%)

prune261.0ms (2.6%)

localize25.0ms (0.2%)

rewrite61.0ms (0.6%)

series247.0ms (2.5%)

simplify61.0ms (0.6%)

prune352.0ms (3.6%)

localize27.0ms (0.3%)

rewrite72.0ms (0.7%)

series232.0ms (2.3%)

simplify80.0ms (0.8%)

prune400.0ms (4%)

regimes1.4s (14.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.1s (51%)

Profiling