Details

analyze156.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	24
1	372	24
0	2	2
1	2	2

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%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 17 to 17 computations (0% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

prune5.0ms (0.2%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 x))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_2828`
6×	`associate-r_binary64_2746`
4×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806` `sqrt-prod_binary64_2822`
3×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747`
2×	`unswap-sqr_binary64_2774`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 x))

Compiler

Compiled 294 to 130 computations (55.8% saved)

series55.0ms (1.7%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

50.0ms

(*.f64 y (sqrt.f64 x))

Compiler

Compiled 167 to 128 computations (23.4% saved)

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4980	229
1	4980	229

prune25.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Error

0.0b

Counts

29 → 6

Compiler

Compiled 395 to 184 computations (53.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite103.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_2822`
25×	`add-sqr-sqrt_binary64_2828`
18×	`associate-r_binary64_2746`
15×	`pow1_binary64_2867` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`sqrt-pow1_binary64_2824`
4×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747` `pow1/2_binary64_2886` `rem-sqrt-square_binary64_2819`
3×	`unswap-sqr_binary64_2774`
2×	`*-commutative_binary64_2737`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
4.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 1648 to 526 computations (68.1% saved)

series291.0ms (9.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

132.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
53.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
48.0ms	(sqrt.f64 (sqrt.f64 x))
46.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 659 to 496 computations (24.7% saved)

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5186	879

prune83.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	105	7	112

Error

Counts

112 → 7

Compiler

Compiled 1705 to 645 computations (62.2% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

rewrite83.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`sqrt-prod_binary64_2822`
19×	`add-sqr-sqrt_binary64_2828`
18×	`add-exp-log_binary64_2844`
16×	`associate-r_binary64_2746`
11×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`prod-exp_binary64_2855` `add-cbrt-cube_binary64_2842`
7×	`pow1_binary64_2867`
4×	`cbrt-unprod_binary64_2839` `associate-l_binary64_2747` `sqrt-pow1_binary64_2824`
3×	`add-log-exp_binary64_2845` `unpow-prod-down_binary64_2885` `unswap-sqr_binary64_2774`
2×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `*-commutative_binary64_2737` `pow1/2_binary64_2886` `rem-sqrt-square_binary64_2819`
1×	`sqr-pow_binary64_2778` `pow-prod-down_binary64_2877`

Counts

3 → 69

Calls

3 calls:

8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 1316 to 635 computations (51.7% saved)

series251.0ms (7.9%)

Error

Counts

3 → 15

Calls

3 calls:

128.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
63.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
50.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 584 to 467 computations (20% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4946	891
1	4946	891

prune71.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 1437 to 748 computations (47.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2))
0.3b	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
0.4b	(pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)

rewrite152.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`sqrt-prod_binary64_2822`
30×	`add-sqr-sqrt_binary64_2828`
25×	`associate-r_binary64_2746`
21×	`unpow-prod-down_binary64_2885`
20×	`add-exp-log_binary64_2844`
19×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867` `add-cbrt-cube_binary64_2842`
10×	`prod-exp_binary64_2855`
8×	`sqrt-pow1_binary64_2824`
5×	`pow-pow_binary64_2878` `unswap-sqr_binary64_2774`
4×	`pow1/2_binary64_2886` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
3×	`pow-unpow_binary64_2883` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `sqr-pow_binary64_2778`
2×	`*-commutative_binary64_2737` `rem-sqrt-square_binary64_2819`
1×	`sqrt-pow2_binary64_2825` `pow-prod-down_binary64_2877`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
9.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2))
6.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)
2.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 2474 to 1165 computations (52.9% saved)

series389.0ms (12.2%)

Error

Counts

4 → 18

Calls

4 calls:

189.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2))
93.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)
50.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
44.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 775 to 608 computations (21.5% saved)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5438	1369

prune116.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	127	6	133

Error

Counts

133 → 6

Compiler

Compiled 2317 to 1088 computations (53% saved)

regimes137.0ms (4.3%)

Accuracy

Total 0.1b remaining (95.2%)

Threshold costs 0.1b (95.2%)

Compiler

Compiled 1334 to 895 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample898.0ms (28.2%)

Algorithm

1×

intervals

Results

242.0ms	7996×	body	128	valid
3.0ms	127×	body	128	nan
2.0ms	67×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 455 to 308 computations (32.3% saved)

Details

analyze156.0ms (4.9%)

sample16.0ms (0.5%)

simplify14.0ms (0.4%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite25.0ms (0.8%)

series55.0ms (1.7%)

simplify52.0ms (1.6%)

prune25.0ms (0.8%)

localize8.0ms (0.2%)

rewrite103.0ms (3.2%)

series291.0ms (9.1%)

simplify82.0ms (2.6%)

prune83.0ms (2.6%)

localize11.0ms (0.3%)

rewrite83.0ms (2.6%)

series251.0ms (7.9%)

simplify76.0ms (2.4%)

prune71.0ms (2.2%)

localize12.0ms (0.4%)

rewrite152.0ms (4.8%)

series389.0ms (12.2%)

simplify68.0ms (2.1%)

prune116.0ms (3.6%)

regimes137.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample898.0ms (28.2%)

Profiling