Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify175.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

prune2.0ms (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

62.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

62.0b

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
25×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
12×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
5×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`associate-/r/_binary64_706` `associate-/l/_binary64_707` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-inv_binary64_757` `div-sub_binary64_765` `div-exp_binary64_811` `pow1_binary64_821` `clear-num_binary64_759`

Counts

1 → 52

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

series60.0ms (1.3%)

Counts

1 → 10

Calls

1 calls:

60.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 201 to 165 computations (17.9% saved)

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5114	1055

prune47.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

51.8b

Counts

63 → 2

Compiler

Compiled 842 to 175 computations (79.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
15×	`times-frac_binary64_766`
11×	`add-cube-cbrt_binary64_795`
5×	`associate-/l*_binary64_705`
4×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
3×	`add-exp-log_binary64_798` `associate-/r*_binary64_704` `add-cbrt-cube_binary64_796`
2×	`associate-/l/_binary64_707`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-inv_binary64_757` `div-sub_binary64_765` `div-exp_binary64_811` `pow1_binary64_821` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x lo) hi)

series77.0ms (1.7%)

Counts

1 → 12

Calls

1 calls:

77.0ms

(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 121 to 118 computations (2.5% saved)

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5044	599

prune43.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	37	13	50
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	38	14	52

Error

51.8b

Counts

52 → 14

Compiler

Compiled 676 to 230 computations (66% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 hi))
0.2b	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
0.4b	(*.f64 (/.f64 1 (sqrt.f64 hi)) (/.f64 (-.f64 x lo) (sqrt.f64 hi)))

rewrite60.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

139×	`add-sqr-sqrt_binary64_782`
118×	`times-frac_binary64_766`
99×	`*-un-lft-identity_binary64_760`
67×	`add-cube-cbrt_binary64_795`
65×	`sqrt-prod_binary64_776`
34×	`associate-r_binary64_700`
31×	`add-exp-log_binary64_798`
22×	`associate-l_binary64_701`
19×	`add-cbrt-cube_binary64_796`
15×	`unswap-sqr_binary64_728`
13×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
12×	`associate-/r*_binary64_704`
11×	`div-exp_binary64_811`
8×	`prod-exp_binary64_809` `associate-/l*_binary64_705`
7×	`pow1_binary64_821`
6×	`cbrt-undiv_binary64_794`
4×	`div-inv_binary64_757` `cbrt-unprod_binary64_793`
3×	`add-log-exp_binary64_799` `rec-exp_binary64_810` `1-exp_binary64_804` `pow-flip_binary64_834`
2×	`frac-2neg_binary64_771` `associate-/l/_binary64_707` `clear-num_binary64_759`
1×	`associate-l/_binary64_703` `sqrt-pow1_binary64_778` `inv-pow_binary64_845` `frac-times_binary64_770` `div-sub_binary64_765` `associate-r/_binary64_702` `pow1/2_binary64_840` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 196

Calls

3 calls:

30.0ms	(*.f64 (/.f64 1 (sqrt.f64 hi)) (/.f64 (-.f64 x lo) (sqrt.f64 hi)))
7.0ms	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
4.0ms	(/.f64 1 (sqrt.f64 hi))

series205.0ms (4.5%)

Counts

3 → 27

Calls

3 calls:

113.0ms	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
80.0ms	(*.f64 (/.f64 1 (sqrt.f64 hi)) (/.f64 (-.f64 x lo) (sqrt.f64 hi)))
12.0ms	(/.f64 1 (sqrt.f64 hi))

Compiler

Compiled 569 to 511 computations (10.2% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4975	3243
1	4975	3243

prune175.0ms (3.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	210	13	223
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	218	19	237

Error

51.8b

Counts

237 → 19

Compiler

Compiled 3840 to 1174 computations (69.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 hi))
0.2b	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
0.4b	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (sqrt.f64 hi))) (*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi)))))
0.4b	(*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi))))

rewrite131.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

209×	`add-sqr-sqrt_binary64_782`
170×	`times-frac_binary64_766`
143×	`sqrt-prod_binary64_776`
118×	`*-un-lft-identity_binary64_760`
87×	`add-exp-log_binary64_798`
83×	`add-cube-cbrt_binary64_795`
69×	`add-cbrt-cube_binary64_796`
59×	`associate-r_binary64_700`
47×	`associate-l_binary64_701`
45×	`cbrt-prod_binary64_791`
36×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
30×	`unswap-sqr_binary64_728`
27×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
13×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `pow1_binary64_821`
6×	`associate-/r_binary64_704` `frac-times_binary64_770` `associate-r/_binary64_702`
5×	`associate-/l*_binary64_705`
4×	`associate-*l/_binary64_703` `sqrt-pow1_binary64_778` `add-log-exp_binary64_799` `div-inv_binary64_757` `pow-prod-down_binary64_831`
2×	`rem-sqrt-square_binary64_773` `associate-/l/_binary64_707` `pow1/2_binary64_840` `*-commutative_binary64_691`
1×	`frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 278

Calls

4 calls:

52.0ms	(*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi))))
26.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (sqrt.f64 hi))) (*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi)))))
8.0ms	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
2.0ms	(sqrt.f64 (sqrt.f64 hi))

series435.0ms (9.5%)

Counts

4 → 36

Calls

4 calls:

175.0ms	(*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi))))
119.0ms	(/.f64 (-.f64 x lo) (sqrt.f64 hi))
83.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (sqrt.f64 hi))) (*.f64 (/.f64 (-.f64 x lo) (sqrt.f64 hi)) (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 hi)))))
58.0ms	(sqrt.f64 (sqrt.f64 hi))

Compiler

Compiled 1337 to 1182 computations (11.6% saved)

simplify117.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5013	6448

prune453.0ms (9.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	307	7	314
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	313	20	333

Error

51.8b

Counts

333 → 20

Compiler

Compiled 8401 to 3877 computations (53.9% saved)

regimes639.0ms (13.9%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 5518 to 3604 computations (34.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms (0%)

sample1.7s (36.4%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
154.0ms	8000×	pre	128	true

Compiler

Compiled 1396 to 913 computations (34.6% saved)

Details

analyze4.0ms (0.1%)

sample18.0ms (0.4%)

simplify175.0ms (3.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series60.0ms (1.3%)

simplify58.0ms (1.3%)

prune47.0ms (1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.2%)

series77.0ms (1.7%)

simplify85.0ms (1.9%)

prune43.0ms (0.9%)

localize7.0ms (0.2%)

rewrite60.0ms (1.3%)

series205.0ms (4.5%)

simplify74.0ms (1.6%)

prune175.0ms (3.8%)

localize13.0ms (0.3%)

rewrite131.0ms (2.9%)

series435.0ms (9.5%)

simplify117.0ms (2.6%)

prune453.0ms (9.9%)

regimes639.0ms (13.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (36.4%)

Profiling