Details

analyze75.0ms (1.9%)

Algorithm

1×

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)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	4×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify156.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2487`
6×	`associate-r_binary64_2405`
4×	`*-un-lft-identity_binary64_2465` `sqrt-prod_binary64_2481` `add-cube-cbrt_binary64_2500`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526` `associate-l_binary64_2406`
2×	`unswap-sqr_binary64_2433`
1×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

1 → 22

Calls

1 calls:

10.0ms

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

series50.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify134.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4969	280
1	4969	280

prune50.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

Compiler

Compiled 391 to 195 computations (50.1% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 x))
0.2b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite57.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_2481`
25×	`add-sqr-sqrt_binary64_2487`
18×	`associate-r_binary64_2405`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`sqrt-pow1_binary64_2483`
4×	`add-log-exp_binary64_2504` `pow1/2_binary64_2545` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
3×	`unswap-sqr_binary64_2433`
2×	`*-commutative_binary64_2396`

Counts

4 → 88

Calls

4 calls:

21.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
14.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
4.0ms	(sqrt.f64 (sqrt.f64 x))
4.0ms	(sqrt.f64 (sqrt.f64 x))

series354.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt.f64 (sqrt.f64 x))
102.0ms	(sqrt.f64 (sqrt.f64 x))
80.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
61.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify148.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4935	1038
1	4935	1038

prune168.0ms (4.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

Compiler

Compiled 1742 to 679 computations (61% saved)

localize21.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_2481`
19×	`add-sqr-sqrt_binary64_2487`
18×	`add-exp-log_binary64_2503`
16×	`associate-r_binary64_2405`
11×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`add-cbrt-cube_binary64_2501` `prod-exp_binary64_2514`
7×	`pow1_binary64_2526`
4×	`sqrt-pow1_binary64_2483` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
3×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544`
2×	`*-commutative_binary64_2396` `pow1/2_binary64_2545` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `rem-sqrt-square_binary64_2478`
1×	`sqr-pow_binary64_2437` `pow-prod-down_binary64_2536`

Counts

3 → 69

Calls

3 calls:

17.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
15.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
10.0ms	(sqrt.f64 (sqrt.f64 x))

series276.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
98.0ms	(sqrt.f64 (sqrt.f64 x))
77.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4980	1024
1	4980	1024

prune136.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0b

Counts

84 → 6

Compiler

Compiled 1461 to 782 computations (46.5% saved)

localize21.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`sqrt-prod_binary64_2481`
18×	`add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487`
16×	`associate-r_binary64_2405`
11×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`add-cbrt-cube_binary64_2501` `prod-exp_binary64_2514`
7×	`pow1_binary64_2526`
4×	`unpow-prod-down_binary64_2544` `sqrt-pow1_binary64_2483` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
3×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
2×	`*-commutative_binary64_2396` `pow1/2_binary64_2545` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `rem-sqrt-square_binary64_2478` `sqr-pow_binary64_2437`
1×	`pow-prod-down_binary64_2536`

Counts

3 → 69

Calls

3 calls:

15.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))
10.0ms	(*.f64 y (pow.f64 x 1/4))
3.0ms	(sqrt.f64 (sqrt.f64 x))

series282.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(sqrt.f64 (sqrt.f64 x))
93.0ms	(*.f64 y (pow.f64 x 1/4))
87.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (sqrt.f64 (sqrt.f64 x)))

simplify123.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4923	959
1	4923	959

prune132.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0b

Counts

84 → 6

Compiler

Compiled 1369 to 785 computations (42.7% saved)

regimes159.0ms (4.2%)

Compiler: Compiled 731 to 511 computations (30.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample1.2s (32.2%)

Algorithm

1×

intervals

Results

451.0ms	7997×	body	128	valid
8.0ms	154×	body	128	nan
3.0ms	57×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 254 to 180 computations (29.1% saved)

Details

analyze75.0ms (1.9%)

sample32.0ms (0.8%)

simplify156.0ms (4.1%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite13.0ms (0.3%)

series50.0ms (1.3%)

simplify134.0ms (3.5%)

prune50.0ms (1.3%)

localize17.0ms (0.5%)

rewrite57.0ms (1.5%)

series354.0ms (9.3%)

simplify148.0ms (3.9%)

prune168.0ms (4.4%)

localize21.0ms (0.6%)

rewrite51.0ms (1.3%)

series276.0ms (7.2%)

simplify87.0ms (2.3%)

prune136.0ms (3.5%)

localize21.0ms (0.5%)

rewrite37.0ms (1%)

series282.0ms (7.4%)

simplify123.0ms (3.2%)

prune132.0ms (3.4%)

regimes159.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (32.2%)

Profiling