Details

analyze442.0ms (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	46
1	338	46
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample41.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	197×	body	128	valid
8.0ms	22×	body	2048	valid
5.0ms	17×	body	4096	valid
3.0ms	256×	pre	128	true
1.0ms	7×	body	1024	valid
1.0ms	9×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune3.0ms (0.1%)

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

37.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.5b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite78.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

37.4b

Rules

10×	`add-sqr-sqrt_binary64_441`
7×	`add-log-exp_binary64_458` `*-un-lft-identity_binary64_419`
5×	`add-cube-cbrt_binary64_454`
4×	`pow1_binary64_480` `sqrt-prod_binary64_435`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385`
2×	`flip3-+_binary64_422` `sqrt-div_binary64_436` `flip-+_binary64_393` `difference-of-squares_binary64_388`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `distribute-lft-out--_binary64_371` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 43

Calls

3 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1070 to 382 computations (64.3% saved)

series325.0ms (6.9%)

Error

8.4b

Counts

3 → 41

Calls

3 calls:

107.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
94.0ms	(+.f64 (.f64 re re) (.f64 im im))
84.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Compiler

Compiled 1528 to 1315 computations (13.9% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5273	1179

prune79.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Error

8.3b

Counts

85 → 5

Compiler

Compiled 1552 to 760 computations (51% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

4×	`pow1_binary64_480`
2×	`sqrt-pow1_binary64_437` `associate-*r/_binary64_361` `sqrt-div_binary64_436`
1×	`pow1/2_binary64_499` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow-prod-down_binary64_490` `flip3--_binary64_423` `flip--_binary64_394` `sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

Compiler

Compiled 187 to 126 computations (32.6% saved)

series55.0ms (1.2%)

Error

8.3b

Counts

1 → 7

Calls

1 calls:

50.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

Compiler

Compiled 253 to 237 computations (6.3% saved)

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4981	216
1	4981	216

prune21.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Error

8.3b

Counts

25 → 6

Compiler

Compiled 282 to 213 computations (24.5% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 8.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

8.3b

Counts

6 → 6

Compiler

Compiled 55 to 48 computations (12.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 im) (.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2)))
0.1b	(sqrt.f64 (/.f64 1 im))
0.2b	(.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2))
0.4b	(.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 im) (.f64 re (*.f64 (sqrt.f64 (/.f64 1 im)) -1/2))))

rewrite142.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

23×	`add-sqr-sqrt_binary64_441`
17×	`sqrt-prod_binary64_435`
16×	`*-un-lft-identity_binary64_419`
15×	`add-cube-cbrt_binary64_454`
13×	`pow1_binary64_480`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `times-frac_binary64_425`
9×	`associate-l_binary64_360`
6×	`add-log-exp_binary64_458`
4×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r_binary64_359`
3×	`associate-*r/_binary64_361` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`
2×	`unswap-sqr_binary64_387` `flip3-+_binary64_422` `flip-+_binary64_393` `*-commutative_binary64_350` `sqrt-div_binary64_436`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-*l/_binary64_362` `pow1/2_binary64_499` `inv-pow_binary64_504` `pow-flip_binary64_493` `div-inv_binary64_416` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 84

Calls

4 calls:

8.0ms	(.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2))
8.0ms	(.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 im) (.f64 re (*.f64 (sqrt.f64 (/.f64 1 im)) -1/2))))
4.0ms	(+.f64 (sqrt.f64 im) (.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2)))
3.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 2078 to 1570 computations (24.4% saved)

series356.0ms (7.5%)

Error

8.3b

Counts

4 → 27

Calls

4 calls:

142.0ms	(.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 im) (.f64 re (*.f64 (sqrt.f64 (/.f64 1 im)) -1/2))))
99.0ms	(+.f64 (sqrt.f64 im) (.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2)))
84.0ms	(.f64 re (.f64 (sqrt.f64 (/.f64 1 im)) -1/2))
12.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 1145 to 1011 computations (11.7% saved)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5194	1755

prune124.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	110	7	117

Error

8.3b

Counts

117 → 7

Compiler

Compiled 2193 to 1652 computations (24.7% saved)

regimes874.0ms (18.4%)

Accuracy

Total 10.9b remaining (59%)

Threshold costs 0b (0%)

Compiler

Compiled 6459 to 4399 computations (31.9% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	177
1	72	177

end0.0ms (0%)

sample1.9s (39.5%)

Algorithm

1×

intervals

Results

280.0ms	6024×	body	128	valid
159.0ms	549×	body	4096	valid
154.0ms	670×	body	2048	valid
112.0ms	8000×	pre	128	true
69.0ms	398×	body	1024	valid
31.0ms	245×	body	512	valid
10.0ms	114×	body	256	valid

Compiler

Compiled 945 to 626 computations (33.8% saved)

Details

analyze442.0ms (9.3%)

sample41.0ms (0.9%)

simplify24.0ms (0.5%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite78.0ms (1.6%)

series325.0ms (6.9%)

simplify68.0ms (1.4%)

prune79.0ms (1.7%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series55.0ms (1.2%)

simplify99.0ms (2.1%)

prune21.0ms (0.4%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite142.0ms (3%)

series356.0ms (7.5%)

simplify76.0ms (1.6%)

prune124.0ms (2.6%)

regimes874.0ms (18.4%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (39.5%)

Profiling