Details

analyze65.0ms (3.4%)

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify144.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1481`
4×	`sum-log_binary64_1533` `*-un-lft-identity_binary64_1442`
2×	`add-cbrt-cube_binary64_1478` `+-commutative_binary64_1372` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477`
1×	`associate-+l+_binary64_1375` `distribute-lft-out_binary64_1393`

Counts

2 → 25

Calls

2 calls:

11.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
8.0ms	(+.f64 (*.f64 x y) x)

series66.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 (*.f64 x y) x)
26.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify115.0ms (6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5030	394

prune20.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 389 to 99 computations (74.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
0.6b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

rewrite73.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_1473`
35×	`*-un-lft-identity_binary64_1442`
23×	`add-sqr-sqrt_binary64_1464`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477`
11×	`pow1_binary64_1503`
9×	`swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/3_binary64_1524`
7×	`associate-r_binary64_1382` `associate-l_binary64_1383`
6×	`add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 95

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
9.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
8.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series396.0ms (20.7%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
110.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
87.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
81.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

simplify154.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4945	2794
1	4945	2794

prune161.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Compiler

Compiled 3702 to 658 computations (82.2% saved)

regimes61.0ms (3.2%)

Accuracy

Total 0.0b remaining (15%)

Threshold costs 0.0b (15%)

Compiler

Compiled 174 to 84 computations (51.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample600.0ms (31.4%)

Algorithm

1×

intervals

Results

285.0ms	7996×	body	128	valid
2.0ms	71×	body	128	invalid
1.0ms	4×	body	1024	valid

Compiler

Compiled 67 to 35 computations (47.8% saved)

Details

analyze65.0ms (3.4%)

sample12.0ms (0.6%)

simplify144.0ms (7.6%)

prune3.0ms (0.2%)

localize9.0ms (0.4%)

rewrite21.0ms (1.1%)

series66.0ms (3.5%)

simplify115.0ms (6%)

prune20.0ms (1%)

localize9.0ms (0.5%)

rewrite73.0ms (3.8%)

series396.0ms (20.7%)

simplify154.0ms (8.1%)

prune161.0ms (8.4%)

regimes61.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample600.0ms (31.4%)

Profiling