Details

analyze362.0ms (12%)

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
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	64×	body	128	nan
1.0ms	20×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify472.0ms (15.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (370.0ms)

Iter	Nodes	Cost
0	10529	15

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: 25.2b

Counts

2 → 1

Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
1.8b	(-.f64 (.f64 y y) (.f64 z z))
24.9b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_16468`
9×	`sqrt-prod_binary64_16462`
7×	`add-cube-cbrt_binary64_16481` `-un-lft-identity_binary64_16446` `associate-r*_binary64_16386`
6×	`pow1_binary64_16507`
5×	`add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
4×	`sqrt-div_binary64_16463`
3×	`flip3--_binary64_16450` `associate-l_binary64_16387` `flip--_binary64_16421` `difference-of-squares_binary64_16415`
2×	`associate-*r/_binary64_16388` `unswap-sqr_binary64_16414`
1×	`rem-sqrt-square_binary64_16459` `sqrt-pow1_binary64_16464` `pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `pow1/2_binary64_16526`

Counts

3 → 54

Calls

3 calls:

8.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

series284.0ms (9.4%)

Counts

3 → 31

Calls

3 calls:

147.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
79.0ms	(-.f64 (.f64 y y) (.f64 z z))
58.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 620 to 596 computations (3.9% saved)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5090	1182

prune62.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Merged error: 12.0b

Counts

86 → 6

Compiler

Compiled 1201 to 327 computations (72.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(-.f64 (.f64 y y) (.f64 z z))
24.9b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_16468`
7×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
6×	`cbrt-prod_binary64_16477` `add-log-exp_binary64_16485`
5×	`pow1_binary64_16507`
4×	`add-exp-log_binary64_16484` `sqrt-prod_binary64_16462` `add-cbrt-cube_binary64_16482`
2×	`pow1/3_binary64_16528` `sqrt-div_binary64_16463` `flip3--_binary64_16450` `flip--_binary64_16421` `difference-of-squares_binary64_16415`
1×	`rem-sqrt-square_binary64_16459` `sqrt-pow1_binary64_16464` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `pow1/2_binary64_16526`

Counts

4 → 51

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series331.0ms (10.9%)

Counts

4 → 25

Calls

4 calls:

98.0ms	(cbrt.f64 x)
89.0ms	(cbrt.f64 x)
80.0ms	(-.f64 (.f64 y y) (.f64 z z))
63.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 808 to 621 computations (23.1% saved)

simplify63.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4903	768
1	4903	768

prune65.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	75	7	82

Merged error: 12.0b

Counts

82 → 7

Compiler

Compiled 1594 to 410 computations (74.3% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 12.0b

Counts

7 → 7

Compiler

Compiled 78 to 58 computations (25.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_16477`
23×	`add-sqr-sqrt_binary64_16468`
15×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
11×	`pow1_binary64_16507`
9×	`pow1/3_binary64_16528`
6×	`add-exp-log_binary64_16484` `swap-sqr_binary64_16413` `associate-r_binary64_16386` `associate-l_binary64_16387`
4×	`unswap-sqr_binary64_16414` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
2×	`pow-sqr_binary64_16419` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516`
1×	`pow-plus_binary64_16509` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `pow2_binary64_16527`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series402.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
99.0ms	(cbrt.f64 x)
97.0ms	(cbrt.f64 x)
97.0ms	(cbrt.f64 x)

Compiler

Compiled 510 to 402 computations (21.2% saved)

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5008	570

prune63.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 12.0b

Counts

92 → 7

Compiler

Compiled 1758 to 327 computations (81.4% saved)

regimes626.0ms (20.7%)

Compiler: Compiled 1868 to 1527 computations (18.3% saved)

bsearch39.0ms (1.3%)

Compiler: Compiled 1 to 3 computations (-200% saved)

Details

analyze362.0ms (12%)

sample24.0ms (0.8%)

simplify472.0ms (15.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series284.0ms (9.4%)

simplify60.0ms (2%)

prune62.0ms (2%)

localize11.0ms (0.4%)

rewrite14.0ms (0.5%)

series331.0ms (10.9%)

simplify63.0ms (2.1%)

prune65.0ms (2.1%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune6.0ms (0.2%)

localize12.0ms (0.4%)

rewrite16.0ms (0.5%)

series402.0ms (13.3%)

simplify80.0ms (2.6%)

prune63.0ms (2.1%)

regimes626.0ms (20.7%)

bsearch39.0ms (1.3%)

end0.0ms (0%)

Profiling