Details

analyze55.0ms (4.3%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify165.0ms (13%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	53	11
1	53	11

prune2.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_3175` `times-frac_binary64_3181` `add-cube-cbrt_binary64_3210` `add-sqr-sqrt_binary64_3197`
3×	`associate-/l_binary64_3120` `add-cbrt-cube_binary64_3211` `associate-/r_binary64_3119` `add-exp-log_binary64_3213`
1×	`clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `cbrt-undiv_binary64_3209` `pow1_binary64_3236` `div-exp_binary64_3226` `add-log-exp_binary64_3214`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series64.0ms (5%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify46.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5110	540

prune26.0ms (2%)

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

Merged error: 0b

Counts

31 → 2

Compiler

Compiled 497 to 142 computations (71.4% saved)

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.2b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
0.3b	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))

rewrite33.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_3197`
40×	`times-frac_binary64_3181`
36×	`*-un-lft-identity_binary64_3175` `add-cube-cbrt_binary64_3210`
35×	`sqrt-prod_binary64_3191`
22×	`associate-r_binary64_3115`
11×	`add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213`
8×	`pow1_binary64_3236`
6×	`associate-/l_binary64_3120` `associate-l*_binary64_3116` `unswap-sqr_binary64_3143`
4×	`add-log-exp_binary64_3214`
3×	`associate-/r*_binary64_3119`
2×	`prod-exp_binary64_3224` `sqrt-pow1_binary64_3193` `div-inv_binary64_3172` `cbrt-unprod_binary64_3208` `rem-sqrt-square_binary64_3188` `cbrt-undiv_binary64_3209` `pow1/2_binary64_3255` `div-exp_binary64_3226`
1×	`associate-r/_binary64_3117` `-commutative_binary64_3106` `pow-prod-down_binary64_3246` `clear-num_binary64_3174` `frac-2neg_binary64_3186`

Counts

4 → 113

Calls

4 calls:

13.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
7.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

series243.0ms (19.1%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
61.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
45.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
41.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify95.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5405	2278

prune84.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Merged error: 0b

Counts

127 → 2

Compiler

Compiled 2435 to 293 computations (88% saved)

regimes25.0ms (2%)

Compiler: Compiled 81 to 62 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample396.0ms (31.1%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
4.0ms	185×	body	128	invalid

Compiler

Compiled 36 to 29 computations (19.4% saved)

Details

analyze55.0ms (4.3%)

sample17.0ms (1.3%)

simplify165.0ms (13%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite5.0ms (0.4%)

series64.0ms (5%)

simplify46.0ms (3.6%)

prune26.0ms (2%)

localize7.0ms (0.6%)

rewrite33.0ms (2.6%)

series243.0ms (19.1%)

simplify95.0ms (7.5%)

prune84.0ms (6.6%)

regimes25.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample396.0ms (31.1%)

Profiling