Details

analyze221.0ms (15.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify105.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

prune2.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6255`
1×	`*-un-lft-identity_binary64_6216` `cancel-sign-sub-inv_binary64_6182` `add-cube-cbrt_binary64_6251` `flip3--_binary64_6220` `diff-log_binary64_6308` `sub-neg_binary64_6209` `flip--_binary64_6191` `add-cbrt-cube_binary64_6252` `add-sqr-sqrt_binary64_6238` `pow1_binary64_6277` `add-exp-log_binary64_6254`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

series41.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

simplify59.0ms (4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4897	216
1	4897	216

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 194 to 128 computations (34% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.2b	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))

rewrite28.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_6238`
24×	`sqrt-prod_binary64_6232`
21×	`pow1_binary64_6277`
16×	`sqrt-div_binary64_6233`
14×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
10×	`sqrt-pow1_binary64_6234` `pow1/2_binary64_6296`
9×	`flip3--_binary64_6220` `flip--_binary64_6191`
8×	`swap-sqr_binary64_6183`
6×	`associate-r_binary64_6156` `associate-l_binary64_6157` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `add-exp-log_binary64_6254`
5×	`pow-prod-up_binary64_6286`
4×	`rem-sqrt-square_binary64_6229` `unswap-sqr_binary64_6184` `frac-times_binary64_6226`
3×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189`
2×	`associate-l/_binary64_6159` `associate-r/_binary64_6158`
1×	`sqr-abs_binary64_6231` `pow-plus_binary64_6279` `cancel-sign-sub-inv_binary64_6182` `sqrt-unprod_binary64_6236` `prod-exp_binary64_6265` `pow2_binary64_6297` `diff-log_binary64_6308` `rem-square-sqrt_binary64_6228` `sub-neg_binary64_6209` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 100

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
3.0ms	(-.f64 x (.f64 (.f64 y 4) z))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

series230.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
70.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
53.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
37.0ms	(-.f64 x (.f64 (.f64 y 4) z))

simplify88.0ms (6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4915	1974
1	4915	1974

prune109.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Compiler

Compiled 2306 to 1502 computations (34.9% saved)

regimes69.0ms (4.8%)

Accuracy

Total 0.0b remaining (14.7%)

Threshold costs 0.0b (14.7%)

Compiler

Compiled 246 to 258 computations (-4.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample455.0ms (31.3%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
7.0ms	296×	body	128	invalid

Compiler

Compiled 50 to 52 computations (-4% saved)

Details

analyze221.0ms (15.2%)

sample14.0ms (1%)

simplify105.0ms (7.2%)

prune2.0ms (0.2%)

localize5.0ms (0.3%)

rewrite4.0ms (0.3%)

series41.0ms (2.8%)

simplify59.0ms (4%)

prune12.0ms (0.8%)

localize7.0ms (0.5%)

rewrite28.0ms (1.9%)

series230.0ms (15.8%)

simplify88.0ms (6%)

prune109.0ms (7.5%)

regimes69.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample455.0ms (31.3%)

Profiling