Details

analyze163.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	11	18
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
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 (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.5%)

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

Error

19.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

17.8b

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`sqrt-prod_binary64_15780` `add-sqr-sqrt_binary64_15786`
2×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825` `sqrt-div_binary64_15781`
1×	`add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `rem-sqrt-square_binary64_15777` `flip3-+_binary64_15767` `sqrt-pow1_binary64_15782` `add-exp-log_binary64_15802` `pow1/2_binary64_15844` `flip-+_binary64_15738`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series27.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify77.0ms (5%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4921	244
1	4921	244

prune17.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Error

Counts

19 → 4

Compiler

Compiled 228 to 90 computations (60.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b	(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
17.8b	(sqrt.f64 (+.f64 (*.f64 x x) y))
30.3b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_15795`
15×	`sqrt-prod_binary64_15780` `add-sqr-sqrt_binary64_15786`
14×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
12×	`unpow-prod-down_binary64_15843` `cube-prod_binary64_15792`
6×	`pow1_binary64_15825` `sqrt-div_binary64_15781`
4×	`cube-div_binary64_15793` `add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
3×	`add-log-exp_binary64_15803` `flip3-+_binary64_15767` `pow-pow_binary64_15836` `pow-unpow_binary64_15841` `flip-+_binary64_15738`
2×	`unpow3_binary64_15830` `sqrt-pow1_binary64_15782` `sqr-pow_binary64_15736` `cbrt-div_binary64_15796` `cube-mult_binary64_15794` `pow1/2_binary64_15844`
1×	`rem-sqrt-square_binary64_15777` `rem-cube-cbrt_binary64_15787` `rem-cbrt-cube_binary64_15788` `pow-exp_binary64_15832` `sqrt-pow2_binary64_15783` `pow1/3_binary64_15846` `pow-to-exp_binary64_15833`

Counts

3 → 78

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))
6.0ms	(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

series84.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

28.0ms	(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
28.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))
27.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify84.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4982	1284
1	4982	1284

prune56.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

Counts

91 → 4

Compiler

Compiled 1166 to 390 computations (66.6% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_15786`
13×	`associate-r_binary64_15704`
10×	`times-frac_binary64_15770`
9×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
6×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
3×	`associate-l_binary64_15705` `pow1_binary64_15825`
2×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732`
1×	`add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798` `associate-r/_binary64_15706` `div-inv_binary64_15761` `-commutative_binary64_15695` `pow-prod-down_binary64_15835` `div-exp_binary64_15815`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series13.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify93.0ms (6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5059	348

prune24.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	35	4	39

Error

Counts

39 → 4

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))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_15786`
13×	`associate-r_binary64_15704`
10×	`times-frac_binary64_15770`
9×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
6×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
3×	`associate-l_binary64_15705` `pow1_binary64_15825`
2×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732`
1×	`add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798` `associate-r/_binary64_15706` `div-inv_binary64_15761` `-commutative_binary64_15695` `pow-prod-down_binary64_15835` `div-exp_binary64_15815`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series17.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify101.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5013	347

prune21.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	35	4	39

Error

Counts

39 → 4

Compiler

Compiled 410 to 202 computations (50.7% saved)

regimes149.0ms (9.7%)

Accuracy

Total 0.3b remaining (99.1%)

Threshold costs 0.3b (99.1%)

Compiler

Compiled 351 to 324 computations (7.7% saved)

bsearch25.0ms (1.6%)

Steps

Iters	Range		Point
7	4.019719582241268e+69	4.635008086246722e+71	4.516220622752192e+71
8	-2.0758876113051619e+155	-1.5227341729158072e+152	-1.3302232115804464e+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%)

sample500.0ms (32.4%)

Algorithm

1×

intervals

Results

201.0ms	8000×	body	128	valid
4.0ms	170×	body	128	nan

Compiler

Compiled 110 to 89 computations (19.1% saved)

Details

analyze163.0ms (10.5%)

sample13.0ms (0.8%)

simplify7.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite5.0ms (0.3%)

series27.0ms (1.8%)

simplify77.0ms (5%)

prune17.0ms (1.1%)

localize7.0ms (0.4%)

rewrite21.0ms (1.4%)

series84.0ms (5.4%)

simplify84.0ms (5.5%)

prune56.0ms (3.6%)

localize7.0ms (0.4%)

rewrite10.0ms (0.6%)

series13.0ms (0.8%)

simplify93.0ms (6%)

prune24.0ms (1.5%)

localize5.0ms (0.3%)

rewrite9.0ms (0.6%)

series17.0ms (1.1%)

simplify101.0ms (6.6%)

prune21.0ms (1.4%)

regimes149.0ms (9.7%)

bsearch25.0ms (1.6%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample500.0ms (32.4%)

Profiling