Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample10.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 26.5b

Counts

2 → 1

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

25.6b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64` `flip-+_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

series48.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify68.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4712	140
1	4712	140

prune57.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.1b

Counts

17 → 6

Compiler

Compiled 675 to 360 computations (46.7% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite29.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary64`
8×	`associate-*r/_binary64` `sqrt-div_binary64`
6×	`sqrt-pow1_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64` `flip-+_binary64` `cbrt-prod_binary64`
3×	`pow-prod-down_binary64` `pow1/2_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 53

Calls

4 calls:

7.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
6.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

series359.0ms (20.7%)

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
44.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
44.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
41.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify84.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4696	626
1	4696	626

prune71.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.1b

Counts

71 → 7

Compiler

Compiled 1909 to 449 computations (76.5% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))
25.6b	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite28.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64`
8×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

6.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
6.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

series190.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
52.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
43.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
40.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify74.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4712	560
1	4712	560

prune79.0ms (4.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	7	71

Merged error: 0.1b

Counts

71 → 7

Compiler

Compiled 2408 to 445 computations (81.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (sqrt.f64 2))

series50.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(*.f64 x (sqrt.f64 2))

simplify45.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	211
1	4985	211

prune56.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	2	3
Picked	0	1	1
Done	2	1	3
Total	26	6	32

Merged error: 0.1b

Counts

32 → 6

Compiler

Compiled 738 to 507 computations (31.3% saved)

regimes19.0ms (1.1%)

Compiler: Compiled 52 to 46 computations (11.5% saved)

bsearch16.0ms (0.9%)

Steps

Iters	Range		Point
10	-2.9989826110356598e-301	4.816355095486127e-303	1.3055898008881e-311

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	25
1	39	25

end0.0ms (0%)

sample395.0ms (22.8%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 75 to 62 computations (17.3% saved)

Details

analyze4.0ms (0.2%)

sample10.0ms (0.6%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite6.0ms (0.4%)

series48.0ms (2.7%)

simplify68.0ms (3.9%)

prune57.0ms (3.3%)

localize8.0ms (0.5%)

rewrite29.0ms (1.7%)

series359.0ms (20.7%)

simplify84.0ms (4.8%)

prune71.0ms (4.1%)

localize14.0ms (0.8%)

rewrite28.0ms (1.6%)

series190.0ms (10.9%)

simplify74.0ms (4.3%)

prune79.0ms (4.6%)

localize4.0ms (0.2%)

rewrite7.0ms (0.4%)

series50.0ms (2.9%)

simplify45.0ms (2.6%)

prune56.0ms (3.2%)

regimes19.0ms (1.1%)

bsearch16.0ms (0.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample395.0ms (22.8%)

Profiling