Details

analyze39.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (1.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	87×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify293.0ms (16.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5723	9

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 y y)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_13740`
3×	`pow1_binary64_13779` `add-cbrt-cube_binary64_13754` `associate-l_binary64_13659` `associate-r_binary64_13658` `*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
2×	`add-exp-log_binary64_13756`
1×	`*-commutative_binary64_13649` `add-log-exp_binary64_13757` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

series28.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

simplify67.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5507	228

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

0.0b

Counts

22 → 2

Compiler

Compiled 222 to 53 computations (76.1% saved)

localize13.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

rewrite35.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`pow1_binary64_13779`
28×	`sqrt-pow1_binary64_13736`
22×	`pow-prod-down_binary64_13789`
17×	`add-sqr-sqrt_binary64_13740`
11×	`*-un-lft-identity_binary64_13718` `add-cube-cbrt_binary64_13753`
10×	`pow1/2_binary64_13798` `associate-l_binary64_13659` `associate-r_binary64_13658` `pow-prod-up_binary64_13788`
9×	`add-cbrt-cube_binary64_13754`
7×	`add-exp-log_binary64_13756`
6×	`pow-sqr_binary64_13691`
4×	`swap-sqr_binary64_13685` `sqrt-prod_binary64_13734`
3×	`*-commutative_binary64_13649` `add-log-exp_binary64_13757` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `cbrt-unprod_binary64_13751`
1×	`pow2_binary64_13799` `pow-plus_binary64_13781` `sqrt-unprod_binary64_13738` `rem-square-sqrt_binary64_13730`

Counts

3 → 85

Calls

3 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (sqrt.f64 (.f64 x (exp.f64 (*.f64 y y)))))
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(.f64 x (exp.f64 (.f64 y y)))

series164.0ms (9.1%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(.f64 (sqrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (sqrt.f64 (.f64 x (exp.f64 (*.f64 y y)))))
43.0ms	(.f64 x (exp.f64 (.f64 y y)))
37.0ms	(.f64 x (exp.f64 (.f64 y y)))

simplify100.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4911	938
1	4911	938

prune68.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Error

0.0b

Counts

96 → 2

Compiler

Compiled 1390 to 253 computations (81.8% saved)

regimes48.0ms (2.7%)

Accuracy

Total 0.0b remaining (8.2%)

Threshold costs 0.0b (8.2%)

Compiler

Compiled 185 to 142 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample881.0ms (49.1%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
148.0ms	4085×	body	128	invalid

Compiler

Compiled 50 to 40 computations (20% saved)

Details

analyze39.0ms (2.2%)

sample29.0ms (1.6%)

simplify293.0ms (16.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series28.0ms (1.6%)

simplify67.0ms (3.7%)

prune15.0ms (0.8%)

localize13.0ms (0.7%)

rewrite35.0ms (2%)

series164.0ms (9.1%)

simplify100.0ms (5.6%)

prune68.0ms (3.8%)

regimes48.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample881.0ms (49.1%)

Profiling