Details

analyze46.0ms (3.3%)

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
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

simplify174.0ms (12.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	110	7
1	110	7

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 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1494` `cancel-sign-sub-inv_binary64_1421`
2×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
1×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `flip--_binary64_1430` `diff-log_binary64_1547` `sub-neg_binary64_1448` `flip3--_binary64_1459` `add-exp-log_binary64_1493`

Counts

1 → 14

Calls

1 calls:

5.0ms

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

series50.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify77.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4878	166
1	4878	166

prune11.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

Compiler

Compiled 182 to 62 computations (65.9% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

rewrite37.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1477`
24×	`sqrt-prod_binary64_1471`
21×	`pow1_binary64_1516`
16×	`sqrt-div_binary64_1472`
15×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
10×	`sqrt-pow1_binary64_1473` `pow1/2_binary64_1535`
9×	`flip--_binary64_1430` `flip3--_binary64_1459`
8×	`swap-sqr_binary64_1422`
6×	`associate-r_binary64_1395` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `associate-l_binary64_1396` `add-exp-log_binary64_1493`
5×	`pow-prod-up_binary64_1525`
4×	`rem-sqrt-square_binary64_1468` `frac-times_binary64_1465` `unswap-sqr_binary64_1423`
3×	`cancel-sign-sub-inv_binary64_1421` `pow-prod-down_binary64_1526` `pow-sqr_binary64_1428`
2×	`associate-r/_binary64_1397` `associate-l/_binary64_1398`
1×	`prod-exp_binary64_1504` `pow-plus_binary64_1518` `*-commutative_binary64_1386` `sqrt-unprod_binary64_1475` `pow2_binary64_1536` `sqr-abs_binary64_1470` `diff-log_binary64_1547` `cbrt-unprod_binary64_1488` `sub-neg_binary64_1448` `rem-square-sqrt_binary64_1467`

Counts

4 → 102

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
4.0ms	(-.f64 (*.f64 x y) x)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))

series208.0ms (14.8%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
54.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
50.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
46.0ms	(-.f64 (*.f64 x y) x)

simplify70.0ms (5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5069	1468

prune71.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

Compiler

Compiled 1821 to 351 computations (80.7% saved)

regimes25.0ms (1.8%)

Compiler: Compiled 68 to 46 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample605.0ms (43.1%)

Algorithm

1×

intervals

Results

150.0ms	8000×	body	128	valid
1.0ms	55×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

Details

analyze46.0ms (3.3%)

sample11.0ms (0.8%)

simplify174.0ms (12.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite6.0ms (0.4%)

series50.0ms (3.5%)

simplify77.0ms (5.5%)

prune11.0ms (0.8%)

localize6.0ms (0.4%)

rewrite37.0ms (2.6%)

series208.0ms (14.8%)

simplify70.0ms (5%)

prune71.0ms (5.1%)

regimes25.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample605.0ms (43.1%)

Profiling