Details

analyze196.0ms (12.4%)

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)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify98.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune3.0ms (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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_3153` `*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/r_binary64_3091` `associate-/l_binary64_3092`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `pow1_binary64_3208` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`

Counts

1 → 27

Calls

1 calls:

3.0ms

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

series78.0ms (5%)

Counts

1 → 6

Calls

1 calls:

77.0ms

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

Compiler

Compiled 110 to 98 computations (10.9% saved)

simplify48.0ms (3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5044	591

prune29.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

Compiler

Compiled 452 to 110 computations (75.7% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (sqrt.f64 (fabs.f64 y)))
0.3b	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
0.4b	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

rewrite48.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

105×	`add-sqr-sqrt_binary64_3169`
94×	`times-frac_binary64_3153`
65×	`*-un-lft-identity_binary64_3147`
59×	`add-cube-cbrt_binary64_3182`
53×	`sqrt-prod_binary64_3163`
31×	`add-exp-log_binary64_3185`
22×	`associate-r_binary64_3087` `associate-l_binary64_3088`
19×	`add-cbrt-cube_binary64_3183`
15×	`unswap-sqr_binary64_3115`
12×	`associate-/r*_binary64_3091`
11×	`div-exp_binary64_3198`
8×	`prod-exp_binary64_3196`
7×	`pow1_binary64_3208`
6×	`cbrt-undiv_binary64_3181` `associate-/l*_binary64_3092`
4×	`cbrt-unprod_binary64_3180` `div-inv_binary64_3144`
3×	`pow-flip_binary64_3221` `add-log-exp_binary64_3186` `1-exp_binary64_3191` `rec-exp_binary64_3197`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158`
1×	`-commutative_binary64_3078` `frac-times_binary64_3157` `pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `inv-pow_binary64_3232` `sqrt-pow1_binary64_3165` `pow1/2_binary64_3227` `associate-*r/_binary64_3089`

Counts

3 → 167

Calls

3 calls:

21.0ms	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
4.0ms	(/.f64 1 (sqrt.f64 (fabs.f64 y)))

series238.0ms (15%)

Counts

3 → 15

Calls

3 calls:

126.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
69.0ms	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
42.0ms	(/.f64 1 (sqrt.f64 (fabs.f64 y)))

Compiler

Compiled 420 to 362 computations (13.8% saved)

simplify82.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5202	3515

prune135.0ms (8.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	2	184

Merged error: 0b

Counts

184 → 2

Compiler

Compiled 3526 to 859 computations (75.6% saved)

regimes60.0ms (3.8%)

Compiler: Compiled 474 to 293 computations (38.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample531.0ms (33.6%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
5.0ms	197×	body	128	invalid

Compiler

Compiled 167 to 106 computations (36.5% saved)

Details

analyze196.0ms (12.4%)

sample12.0ms (0.8%)

simplify98.0ms (6.2%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series78.0ms (5%)

simplify48.0ms (3%)

prune29.0ms (1.9%)

localize9.0ms (0.5%)

rewrite48.0ms (3%)

series238.0ms (15%)

simplify82.0ms (5.2%)

prune135.0ms (8.6%)

regimes60.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample531.0ms (33.6%)

Profiling