Details

analyze66.0ms (4.9%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

simplify107.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	256	10
1	256	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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite19.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
5×	`add-cube-cbrt_binary64_7615`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `associate-l_binary64_7521` `add-exp-log_binary64_7618`
3×	`associate-r_binary64_7520` `cancel-sign-sub-inv_binary64_7546`
2×	`associate-*l/_binary64_7523`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `diff-log_binary64_7672` `flip-+_binary64_7554` `distribute-lft-out_binary64_7531` `flip--_binary64_7555` `cbrt-unprod_binary64_7613` `sub-neg_binary64_7573` `prod-exp_binary64_7629` `*-commutative_binary64_7511` `flip3--_binary64_7584` `flip3-+_binary64_7583`

Counts

2 → 35

Calls

2 calls:

10.0ms	(*.f64 (+.f64 x 1) y)
6.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series35.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 (+.f64 x 1) y)
15.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify47.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4971	449
1	4971	449

prune32.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 496 to 318 computations (35.9% saved)

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))

rewrite27.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_7523`
18×	`cbrt-div_binary64_7612`
11×	`pow1_binary64_7641`
10×	`add-sqr-sqrt_binary64_7602`
9×	`flip-+_binary64_7554` `pow1/3_binary64_7662` `flip3-+_binary64_7583`
8×	`*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
7×	`cbrt-prod_binary64_7611`
6×	`add-exp-log_binary64_7618`
4×	`associate-r_binary64_7520` `add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `frac-times_binary64_7590` `swap-sqr_binary64_7547` `associate-l_binary64_7521`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `associate-*r/_binary64_7522` `pow-sqr_binary64_7553`
1×	`unswap-sqr_binary64_7548` `pow-plus_binary64_7643` `pow2_binary64_7661` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `*-commutative_binary64_7511`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))

series312.0ms (23.1%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
72.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
68.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
67.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))

simplify100.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4910	1468
1	4910	1468

prune110.0ms (8.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0b

Counts

86 → 2

Compiler

Compiled 2294 to 1588 computations (30.8% saved)

regimes41.0ms (3.1%)

Compiler: Compiled 252 to 206 computations (18.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample428.0ms (31.7%)

Algorithm

1×

intervals

Results

178.0ms	7998×	body	128	valid
1.0ms	61×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 93 to 77 computations (17.2% saved)

Details

analyze66.0ms (4.9%)

sample12.0ms (0.9%)

simplify107.0ms (7.9%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite19.0ms (1.4%)

series35.0ms (2.6%)

simplify47.0ms (3.5%)

prune32.0ms (2.4%)

localize8.0ms (0.6%)

rewrite27.0ms (2%)

series312.0ms (23.1%)

simplify100.0ms (7.4%)

prune110.0ms (8.1%)

regimes41.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample428.0ms (31.7%)

Profiling