Details

analyze107.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	66×	body	1024	valid
4.0ms	140×	body	128	valid
2.0ms	25×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

29.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

Rules

11×	`add-sqr-sqrt_binary64_12376` `sqrt-prod_binary64_12370`
10×	`*-un-lft-identity_binary64_12354`
6×	`cancel-sign-sub-inv_binary64_12320`
4×	`difference-of-squares_binary64_12323`
3×	`add-log-exp_binary64_12393` `add-cube-cbrt_binary64_12389` `distribute-lft-out--_binary64_12306`
1×	`diff-log_binary64_12446` `pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `flip3--_binary64_12358` `sub-neg_binary64_12347` `flip--_binary64_12329` `distribute-lft-out_binary64_12305`

Counts

1 → 24

Calls

1 calls:

9.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 364 to 225 computations (38.2% saved)

series33.0ms (0.6%)

Error

28.5b

Counts

1 → 3

Calls

1 calls:

30.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 109 to 91 computations (16.5% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5280	397

prune33.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.1b

Counts

28 → 3

Compiler

Compiled 343 to 223 computations (35% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite98.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_12354`
20×	`sqrt-prod_binary64_12370` `distribute-lft-out_binary64_12305`
18×	`times-frac_binary64_12360`
13×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376`
6×	`add-exp-log_binary64_12392` `associate-/r*_binary64_12298`
4×	`add-log-exp_binary64_12393` `add-cbrt-cube_binary64_12390`
3×	`pow1_binary64_12415` `associate-/l*_binary64_12299`
2×	`div-exp_binary64_12405` `flip3-+_binary64_12357` `associate-/r/_binary64_12300` `flip-+_binary64_12328`
1×	`inv-pow_binary64_12439` `pow-flip_binary64_12428` `1-exp_binary64_12398` `rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `sum-log_binary64_12445` `+-commutative_binary64_12284`

Counts

2 → 59

Calls

2 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1029 to 749 computations (27.2% saved)

series36.0ms (0.7%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
15.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 104 to 102 computations (1.9% saved)

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4780	1037
1	4780	1037

prune71.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	61	7	68

Error

0.0b

Counts

68 → 7

Compiler

Compiled 1020 to 743 computations (27.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite780.0ms (14.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

310×	`*-un-lft-identity_binary64_12354`
290×	`sqrt-prod_binary64_12370`
172×	`times-frac_binary64_12360`
144×	`add-sqr-sqrt_binary64_12376`
116×	`distribute-lft-out_binary64_12305`
88×	`add-cube-cbrt_binary64_12389`
43×	`swap-sqr_binary64_12321`
31×	`pow1_binary64_12415`
27×	`sqrt-pow1_binary64_12372` `associate-l_binary64_12295` `associate-r_binary64_12294`
16×	`unswap-sqr_binary64_12322`
14×	`add-exp-log_binary64_12392` `associate-/r/_binary64_12300`
12×	`associate-/r*_binary64_12298`
11×	`inv-pow_binary64_12439` `pow-flip_binary64_12428`
10×	`add-cbrt-cube_binary64_12390`
9×	`pow1/2_binary64_12434` `pow-prod-up_binary64_12424` `rem-sqrt-square_binary64_12367` `div-inv_binary64_12351`
7×	`flip3-+_binary64_12357` `flip-+_binary64_12328`
6×	`associate-/l*_binary64_12299`
5×	`pow-prod-down_binary64_12425` `sqrt-div_binary64_12371` `pow-sqr_binary64_12327`
4×	`add-log-exp_binary64_12393` `div-exp_binary64_12405`
3×	`sqr-abs_binary64_12369`
2×	`1-exp_binary64_12398` `rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353`
1×	`pow2_binary64_12435` `pow-plus_binary64_12417` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `sqrt-unprod_binary64_12374` `rem-square-sqrt_binary64_12366` `frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285`

Counts

4 → 281

Calls

4 calls:

45.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
17.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 9177 to 6931 computations (24.5% saved)

series103.0ms (1.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
24.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
22.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

Compiler

Compiled 545 to 477 computations (12.5% saved)

simplify122.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5824	5963

prune523.0ms (9.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	289	4	293
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	292	8	300

Error

Counts

300 → 8

Compiler

Compiled 7026 to 5189 computations (26.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.6b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)

rewrite191.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_12354`
34×	`sqrt-prod_binary64_12370`
31×	`unpow-prod-down_binary64_12433`
19×	`add-sqr-sqrt_binary64_12376`
18×	`add-cube-cbrt_binary64_12389`
16×	`distribute-lft-out_binary64_12305` `pow-unpow_binary64_12431`
9×	`times-frac_binary64_12360`
7×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
6×	`add-log-exp_binary64_12393`
5×	`pow-exp_binary64_12422`
4×	`pow-pow_binary64_12426` `add-cbrt-cube_binary64_12390`
3×	`pow-to-exp_binary64_12423` `sqr-pow_binary64_12326`
2×	`pow1/2_binary64_12434` `sqrt-pow1_binary64_12372` `flip3-+_binary64_12357` `sqrt-div_binary64_12371` `flip-+_binary64_12328`
1×	`sqrt-pow2_binary64_12373` `rem-sqrt-square_binary64_12367` `sum-log_binary64_12445` `+-commutative_binary64_12284` `div-inv_binary64_12351`

Counts

4 → 97

Calls

4 calls:

15.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
11.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
9.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
9.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 2246 to 1801 computations (19.8% saved)

series120.0ms (2.2%)

Error

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
35.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
22.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 423 to 414 computations (2.1% saved)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5004	1870

prune125.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Error

Counts

117 → 8

Compiler

Compiled 1852 to 1464 computations (21% saved)

regimes284.0ms (5.2%)

Accuracy

Total 0.2b remaining (97.5%)

Threshold costs 0.2b (97.5%)

Compiler

Compiled 3385 to 2698 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample2.4s (44.8%)

Algorithm

1×

intervals

Results

217.0ms	1961×	body	1024	valid
131.0ms	4237×	body	128	valid
80.0ms	1036×	body	512	valid
33.0ms	247×	body	2048	valid
31.0ms	519×	body	256	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 1669 to 1332 computations (20.2% saved)

Details

analyze107.0ms (2%)

sample23.0ms (0.4%)

simplify10.0ms (0.2%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite44.0ms (0.8%)

series33.0ms (0.6%)

simplify61.0ms (1.1%)

prune33.0ms (0.6%)

localize6.0ms (0.1%)

rewrite98.0ms (1.8%)

series36.0ms (0.7%)

simplify101.0ms (1.9%)

prune71.0ms (1.3%)

localize11.0ms (0.2%)

rewrite780.0ms (14.4%)

series103.0ms (1.9%)

simplify122.0ms (2.3%)

prune523.0ms (9.6%)

localize14.0ms (0.3%)

rewrite191.0ms (3.5%)

series120.0ms (2.2%)

simplify86.0ms (1.6%)

prune125.0ms (2.3%)

regimes284.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (44.8%)

Profiling