Details

analyze156.0ms (12.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20
0	2	2
1	2	2

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
25%	56.2%	18.8%	6
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify13.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

prune2.0ms (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)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_24328`
4×	`*-un-lft-identity_binary64_24289` `sum-log_binary64_24380`
2×	`flip3-+_binary64_24292` `add-cube-cbrt_binary64_24324` `add-cbrt-cube_binary64_24325` `add-sqr-sqrt_binary64_24311` `flip-+_binary64_24263` `pow1_binary64_24350` `+-commutative_binary64_24219` `add-exp-log_binary64_24327`
1×	`distribute-lft-out_binary64_24240` `associate-+l+_binary64_24222`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms	(+.f64 (*.f64 x x) y)

series34.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
14.0ms	(+.f64 (*.f64 x x) y)

simplify72.0ms (6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5173	367

prune22.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 367 to 94 computations (74.4% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_24328`
3×	`sum-log_binary64_24380`
1×	`flip3-+_binary64_24292` `add-cube-cbrt_binary64_24324` `*-un-lft-identity_binary64_24289` `associate-+r+_binary64_24221` `add-cbrt-cube_binary64_24325` `add-sqr-sqrt_binary64_24311` `flip-+_binary64_24263` `pow1_binary64_24350` `+-commutative_binary64_24219` `add-exp-log_binary64_24327`

Counts

1 → 13

Calls

1 calls:

10.0ms

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

series19.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify78.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4952	218
1	4952	218

prune9.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

18 → 2

Compiler

Compiled 199 to 54 computations (72.9% saved)

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
0.0b	(+.f64 (*.f64 x x) y)
0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y))) y)
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y)))

rewrite42.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_24311`
19×	`pow1_binary64_24350`
18×	`sqrt-prod_binary64_24305`
12×	`add-cube-cbrt_binary64_24324` `*-un-lft-identity_binary64_24289` `sqrt-div_binary64_24306`
10×	`add-log-exp_binary64_24328`
9×	`flip3-+_binary64_24292` `flip-+_binary64_24263`
8×	`swap-sqr_binary64_24256` `pow1/2_binary64_24369` `sqrt-pow1_binary64_24307`
6×	`associate-r_binary64_24229` `add-cbrt-cube_binary64_24325` `associate-l_binary64_24230` `add-exp-log_binary64_24327`
5×	`pow-prod-up_binary64_24359`
4×	`frac-times_binary64_24299` `unswap-sqr_binary64_24257`
3×	`pow-sqr_binary64_24262` `sum-log_binary64_24380` `pow-prod-down_binary64_24360` `+-commutative_binary64_24219`
2×	`associate-r/_binary64_24231` `rem-sqrt-square_binary64_24302` `associate-l/_binary64_24232`
1×	`pow2_binary64_24370` `cbrt-unprod_binary64_24322` `sqr-abs_binary64_24304` `sqrt-unprod_binary64_24309` `*-commutative_binary64_24220` `prod-exp_binary64_24338` `pow-plus_binary64_24352` `rem-square-sqrt_binary64_24301`

Counts

4 → 91

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y)))
12.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y))) y)
4.0ms	(+.f64 (*.f64 x x) y)
4.0ms	(+.f64 (*.f64 x x) y)

series69.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y))) y)
20.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y)))
14.0ms	(+.f64 (*.f64 x x) y)
14.0ms	(+.f64 (*.f64 x x) y)

simplify94.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4893	1249
1	4893	1249

prune67.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Error

Counts

105 → 2

Compiler

Compiled 1662 to 366 computations (78% saved)

regimes56.0ms (4.6%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Compiler

Compiled 336 to 184 computations (45.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample419.0ms (34.6%)

Algorithm

1×

intervals

Results

169.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 100 to 58 computations (42% saved)

Details

analyze156.0ms (12.9%)

sample11.0ms (0.9%)

simplify13.0ms (1.1%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite12.0ms (1%)

series34.0ms (2.8%)

simplify72.0ms (6%)

prune22.0ms (1.8%)

localize4.0ms (0.4%)

rewrite11.0ms (0.9%)

series19.0ms (1.6%)

simplify78.0ms (6.4%)

prune9.0ms (0.8%)

localize7.0ms (0.6%)

rewrite42.0ms (3.4%)

series69.0ms (5.7%)

simplify94.0ms (7.8%)

prune67.0ms (5.6%)

regimes56.0ms (4.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

end0.0ms (0%)

sample419.0ms (34.6%)

Profiling