Details

analyze434.0ms (30.2%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify99.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune4.0ms (0.3%)

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 10 to 10 computations (0% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) z)

series44.0ms (3%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(*.f64 (+.f64 x y) z)

simplify61.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5403	223

prune15.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Compiler

Compiled 234 to 71 computations (69.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 z (sqrt.f64 (+.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))

rewrite23.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r/_binary64` `associate-l*_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`add-log-exp_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 55

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
7.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))

series108.0ms (7.5%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
53.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))

simplify61.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5040	911

prune43.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 972 to 241 computations (75.2% saved)

regimes58.0ms (4.1%)

Accuracy

Total 0.0b remaining (32.7%)

Threshold costs 0.0b (32.7%)

Compiler

Compiled 172 to 161 computations (6.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample447.0ms (31.1%)

Algorithm

1×

intervals

Results

171.0ms	8000×	body	128	valid
12.0ms	572×	body	128	invalid

Compiler

Compiled 41 to 39 computations (4.9% saved)

Details

analyze434.0ms (30.2%)

sample17.0ms (1.2%)

simplify99.0ms (6.9%)

prune4.0ms (0.3%)

localize5.0ms (0.4%)

rewrite11.0ms (0.8%)

series44.0ms (3%)

simplify61.0ms (4.2%)

prune15.0ms (1%)

localize6.0ms (0.4%)

rewrite23.0ms (1.6%)

series108.0ms (7.5%)

simplify61.0ms (4.2%)

prune43.0ms (3%)

regimes58.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample447.0ms (31.1%)

Profiling