Details

analyze379.0ms (12.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	52
1	489	52
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample28.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	231	13
1	231	13

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_6937`
1×	`diff-log_binary64_6990` `pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920` `flip3--_binary64_6902` `*-un-lft-identity_binary64_6898` `sub-neg_binary64_6891` `flip--_binary64_6873` `cancel-sign-sub-inv_binary64_6864`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 231 to 124 computations (46.3% saved)

series162.0ms (5.5%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

152.0ms

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

Compiler

Compiled 317 to 279 computations (12% saved)

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4982	396
1	4982	396

prune20.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 331 to 148 computations (55.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 -4 (.f64 z y))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x))))
2.0b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))
2.0b	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))

rewrite191.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_6920`
26×	`pow1_binary64_6959`
24×	`sqrt-prod_binary64_6914`
16×	`sqrt-div_binary64_6915`
15×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
11×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
10×	`pow1/2_binary64_6978` `sqrt-pow1_binary64_6916`
9×	`associate-l_binary64_6839`
8×	`flip3-+_binary64_6901` `flip-+_binary64_6872` `swap-sqr_binary64_6865`
7×	`associate-r_binary64_6838`
6×	`pow-prod-down_binary64_6969`
5×	`pow-prod-up_binary64_6968`
4×	`add-log-exp_binary64_6937` `rem-sqrt-square_binary64_6911` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `frac-times_binary64_6908` `unswap-sqr_binary64_6866`
3×	`pow-sqr_binary64_6871`
2×	`associate-l/_binary64_6841` `associate-r/_binary64_6840` `*-commutative_binary64_6829`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `sqrt-unprod_binary64_6918` `sqr-abs_binary64_6913` `rem-square-sqrt_binary64_6910`

Counts

4 → 106

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x))))
6.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))
5.0ms	(.f64 -4 (.f64 z y))
5.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))

Compiler

Compiled 3567 to 1693 computations (52.5% saved)

series530.0ms (18.1%)

Error

Counts

4 → 58

Calls

4 calls:

155.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x))))
136.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))
136.0ms	(sqrt.f64 (+.f64 (.f64 -4 (.f64 z y)) (*.f64 x x)))
59.0ms	(.f64 -4 (.f64 z y))

Compiler

Compiled 2755 to 1872 computations (32.1% saved)

simplify90.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4917	2553
1	4917	2553

prune158.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Error

Counts

166 → 2

Compiler

Compiled 3439 to 1618 computations (53% saved)

regimes123.0ms (4.2%)

Accuracy

Total 0.0b remaining (86.3%)

Threshold costs 0.0b (86.3%)

Compiler

Compiled 844 to 701 computations (16.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.1s (38.2%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
13.0ms	460×	body	128	invalid

Compiler

Compiled 133 to 111 computations (16.5% saved)

Details

analyze379.0ms (12.9%)

sample28.0ms (1%)

simplify17.0ms (0.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series162.0ms (5.5%)

simplify68.0ms (2.3%)

prune20.0ms (0.7%)

localize9.0ms (0.3%)

rewrite191.0ms (6.5%)

series530.0ms (18.1%)

simplify90.0ms (3.1%)

prune158.0ms (5.4%)

regimes123.0ms (4.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample1.1s (38.2%)

Profiling