Details

analyze72.0ms (5.5%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample13.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 13 to 13 computations (0% saved)

simplify172.0ms (13.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

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: 21.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

19.9b

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

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64_15237` `sqrt-prod_binary64_15231`
2×	`sqrt-div_binary64_15232` `*-un-lft-identity_binary64_15215` `pow1_binary64_15276` `add-cube-cbrt_binary64_15250`
1×	`add-cbrt-cube_binary64_15251` `flip-+_binary64_15189` `pow1/2_binary64_15295` `rem-sqrt-square_binary64_15228` `flip3-+_binary64_15218` `add-log-exp_binary64_15254` `sqrt-pow1_binary64_15233` `add-exp-log_binary64_15253`

Counts

1 → 15

Calls

1 calls:

5.0ms

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

series52.0ms (4%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify97.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4781	244
1	4781	244

prune17.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

Compiler

Compiled 252 to 110 computations (56.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 y (/.f64 -1/2 x))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_15237`
13×	`associate-r_binary64_15155`
10×	`times-frac_binary64_15221`
9×	`*-un-lft-identity_binary64_15215` `add-cube-cbrt_binary64_15250`
6×	`add-cbrt-cube_binary64_15251` `add-exp-log_binary64_15253`
3×	`associate-l_binary64_15156` `pow1_binary64_15276`
2×	`unswap-sqr_binary64_15183` `cbrt-unprod_binary64_15248` `prod-exp_binary64_15264`
1×	`div-inv_binary64_15212` `associate-r/_binary64_15157` `pow-prod-down_binary64_15286` `-commutative_binary64_15146` `add-log-exp_binary64_15254` `cbrt-undiv_binary64_15249` `div-exp_binary64_15266`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 y (/.f64 -1/2 x))

series26.0ms (2%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 y (/.f64 -1/2 x))

simplify74.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5184	348

prune27.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

Compiler

Compiled 418 to 263 computations (37.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 1/2 (/.f64 y x))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_15237`
13×	`associate-r_binary64_15155`
10×	`times-frac_binary64_15221`
9×	`*-un-lft-identity_binary64_15215` `add-cube-cbrt_binary64_15250`
6×	`add-cbrt-cube_binary64_15251` `add-exp-log_binary64_15253`
3×	`associate-l_binary64_15156` `pow1_binary64_15276`
2×	`unswap-sqr_binary64_15183` `cbrt-unprod_binary64_15248` `prod-exp_binary64_15264`
1×	`div-inv_binary64_15212` `associate-r/_binary64_15157` `pow-prod-down_binary64_15286` `-commutative_binary64_15146` `add-log-exp_binary64_15254` `cbrt-undiv_binary64_15249` `div-exp_binary64_15266`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 1/2 (/.f64 y x))

series25.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 1/2 (/.f64 y x))

simplify99.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5010	347

prune21.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Merged error: 0b

Counts

38 → 3

Compiler

Compiled 410 to 202 computations (50.7% saved)

regimes85.0ms (6.5%)

Compiler: Compiled 132 to 117 computations (11.4% saved)

bsearch24.0ms (1.8%)

Steps

Iters	Range		Point
8	7.961226834171676e+150	1.2895082919286834e+155	1.5762270461910406e+152
7	-1.064388742340714e+156	-6.784958973113638e+153	-1.3412318642009527e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	41
1	35	41

end0.0ms (0%)

sample456.0ms (35%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
4.0ms	160×	body	128	nan

Compiler

Compiled 84 to 63 computations (25% saved)

Details

analyze72.0ms (5.5%)

sample13.0ms (1%)

simplify172.0ms (13.2%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite6.0ms (0.5%)

series52.0ms (4%)

simplify97.0ms (7.4%)

prune17.0ms (1.3%)

localize5.0ms (0.3%)

rewrite10.0ms (0.8%)

series26.0ms (2%)

simplify74.0ms (5.7%)

prune27.0ms (2.1%)

localize5.0ms (0.3%)

rewrite10.0ms (0.8%)

series25.0ms (1.9%)

simplify99.0ms (7.6%)

prune21.0ms (1.6%)

regimes85.0ms (6.5%)

bsearch24.0ms (1.8%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample456.0ms (35%)

Profiling