Details

analyze80.0ms (2.8%)

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

prune2.0ms (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: 7.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.9b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

series71.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

71.0ms

(*.f64 x (+.f64 1 (*.f64 y y)))

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5039	289

prune70.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 7.1b

Counts

26 → 7

Compiler

Compiled 1050 to 710 computations (32.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
0.1b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
6.9b	(sqrt.f64 (+.f64 1 (*.f64 y y)))
6.9b	(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

12.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
8.0ms	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

series242.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(.f64 x (sqrt.f64 (+.f64 1 (.f64 y y))))
80.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 (.f64 y y)))) (sqrt.f64 (+.f64 1 (.f64 y y))))
38.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))
35.0ms	(sqrt.f64 (+.f64 1 (*.f64 y y)))

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4960	1418
1	4960	1418

prune124.0ms (4.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 7.1b

Counts

102 → 8

Compiler

Compiled 2303 to 1430 computations (37.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
7.1b	(cbrt.f64 (+.f64 1 (*.f64 y y)))
7.1b	(cbrt.f64 (+.f64 1 (*.f64 y y)))
7.1b	(cbrt.f64 (+.f64 1 (*.f64 y y)))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

13.0ms	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))

series484.0ms (17.2%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(.f64 x (.f64 (cbrt.f64 (+.f64 1 (.f64 y y))) (cbrt.f64 (+.f64 1 (.f64 y y)))))
97.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
82.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))
81.0ms	(cbrt.f64 (+.f64 1 (*.f64 y y)))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5017	1387

prune119.0ms (4.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 7.1b

Counts

86 → 8

Compiler

Compiled 2430 to 1520 computations (37.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 y y))))
6.9b	(.f64 x (+.f64 1 (.f64 y y)))
6.9b	(.f64 x (+.f64 1 (.f64 y y)))
6.9b	(.f64 x (+.f64 1 (.f64 y y)))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`associate-*r/_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(.f64 x (+.f64 1 (.f64 y y)))
6.0ms	(.f64 x (+.f64 1 (.f64 y y)))
6.0ms	(.f64 x (+.f64 1 (.f64 y y)))
4.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 y y))))

series471.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 y y))))
81.0ms	(.f64 x (+.f64 1 (.f64 y y)))
75.0ms	(.f64 x (+.f64 1 (.f64 y y)))
67.0ms	(.f64 x (+.f64 1 (.f64 y y)))

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4973	1070
1	4973	1070

prune117.0ms (4.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	89	8	97

Merged error: 7.1b

Counts

97 → 8

Compiler

Compiled 2712 to 1490 computations (45.1% saved)

regimes98.0ms (3.5%)

Compiler: Compiled 624 to 471 computations (24.5% saved)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample490.0ms (17.4%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	128	valid
4.0ms	194×	body	128	invalid

Compiler

Compiled 140 to 107 computations (23.6% saved)

Details

analyze80.0ms (2.8%)

sample12.0ms (0.4%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.3%)

series71.0ms (2.5%)

simplify65.0ms (2.3%)

prune70.0ms (2.5%)

localize7.0ms (0.2%)

rewrite34.0ms (1.2%)

series242.0ms (8.6%)

simplify91.0ms (3.2%)

prune124.0ms (4.4%)

localize8.0ms (0.3%)

rewrite29.0ms (1%)

series484.0ms (17.2%)

simplify69.0ms (2.4%)

prune119.0ms (4.2%)

localize9.0ms (0.3%)

rewrite34.0ms (1.2%)

series471.0ms (16.8%)

simplify62.0ms (2.2%)

prune117.0ms (4.2%)

regimes98.0ms (3.5%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample490.0ms (17.4%)

Profiling