Details

analyze152.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	22
1	74	22
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
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	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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 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))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r_binary64_2750` `associate-/l_binary64_2751`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `add-log-exp_binary64_2845` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 27

Calls

1 calls:

3.0ms

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

series32.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify51.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5220	540

prune23.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

Counts

31 → 3

Compiler

Compiled 427 to 91 computations (78.7% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
0.4b	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

rewrite45.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_2812`
154×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
144×	`sqrt-prod_binary64_2822`
25×	`associate-/l*_binary64_2751`
12×	`associate-/r*_binary64_2750`
9×	`add-exp-log_binary64_2844` `div-inv_binary64_2803` `add-cbrt-cube_binary64_2842`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
2×	`add-log-exp_binary64_2845` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`
1×	`associate-/l/_binary64_2753`

Counts

2 → 214

Calls

2 calls:

14.0ms	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

series82.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
32.0ms	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))

simplify123.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5362	6701

prune157.0ms (10.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	220	3	223

Error

Counts

223 → 3

Compiler

Compiled 4754 to 654 computations (86.2% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.1b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
17.2b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite25.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_2812`
41×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
32×	`cbrt-prod_binary64_2837`
26×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`div-inv_binary64_2803`
4×	`pow1_binary64_2867`
3×	`associate-/r_binary64_2750` `pow-unpow_binary64_2883` `add-log-exp_binary64_2845` `associate-/l_binary64_2751`
2×	`pow-exp_binary64_2874` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `unpow3_binary64_2872` `sqr-pow_binary64_2778` `cube-mult_binary64_2836` `cube-div_binary64_2835` `rem-cube-cbrt_binary64_2829`
1×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `clear-num_binary64_2805` `rem-cbrt-cube_binary64_2830` `frac-2neg_binary64_2817`

Counts

3 → 115

Calls

3 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
5.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
5.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series140.0ms (8.9%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
28.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify57.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5418	2387

prune86.0ms (5.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Error

Counts

127 → 3

Compiler

Compiled 1933 to 549 computations (71.6% saved)

regimes49.0ms (3.2%)

Accuracy

Total 0.0b remaining (89%)

Threshold costs 0.0b (89%)

Compiler

Compiled 363 to 248 computations (31.7% 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%)

sample483.0ms (30.9%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
5.0ms	222×	body	128	invalid

Compiler

Compiled 130 to 91 computations (30% saved)

Details

analyze152.0ms (9.7%)

sample12.0ms (0.8%)

simplify10.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite9.0ms (0.6%)

series32.0ms (2.1%)

simplify51.0ms (3.3%)

prune23.0ms (1.5%)

localize7.0ms (0.5%)

rewrite45.0ms (2.9%)

series82.0ms (5.3%)

simplify123.0ms (7.8%)

prune157.0ms (10.1%)

localize8.0ms (0.5%)

rewrite25.0ms (1.6%)

series140.0ms (8.9%)

simplify57.0ms (3.6%)

prune86.0ms (5.5%)

regimes49.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample483.0ms (30.9%)

Profiling