Details

analyze188.0ms (5.7%)

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)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune3.0ms (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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 27

Calls

1 calls:

3.0ms

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

Compiler

Compiled 421 to 90 computations (78.6% saved)

series123.0ms (3.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

118.0ms

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

Compiler

Compiled 126 to 78 computations (38.1% saved)

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5220	573

prune26.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 454 to 91 computations (80% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite142.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`times-frac_binary64_3153`
52×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
16×	`associate-/r*_binary64_3091`
15×	`add-exp-log_binary64_3185`
9×	`add-cbrt-cube_binary64_3183`
8×	`div-exp_binary64_3198`
6×	`div-inv_binary64_3144` `associate-/l*_binary64_3092`
4×	`cbrt-undiv_binary64_3181`
3×	`pow1_binary64_3208`
2×	`1-exp_binary64_3191` `rec-exp_binary64_3197` `add-log-exp_binary64_3186` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221` `associate-/r/_binary64_3093`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

Compiler

Compiled 2057 to 639 computations (68.9% saved)

series174.0ms (5.2%)

Error

Counts

2 → 12

Calls

2 calls:

96.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
73.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 288 to 187 computations (35.1% saved)

simplify120.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4981	2412
1	4981	2412

prune87.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 1867 to 420 computations (77.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
0.1b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
0.2b	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))

rewrite448.0ms (13.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

332×	`add-sqr-sqrt_binary64_3169`
327×	`sqrt-prod_binary64_3163`
312×	`times-frac_binary64_3153`
177×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
68×	`swap-sqr_binary64_3114`
40×	`associate-l_binary64_3088` `associate-r_binary64_3087`
25×	`unswap-sqr_binary64_3115`
20×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`pow1_binary64_3208` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
6×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `sqrt-undiv_binary64_3168` `div-inv_binary64_3144`
4×	`prod-exp_binary64_3196` `add-log-exp_binary64_3186` `cbrt-unprod_binary64_3180`
2×	`frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow2_binary64_3228` `pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-plus_binary64_3210` `sqrt-unprod_binary64_3167` `rem-square-sqrt_binary64_3159` `frac-times_binary64_3157` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`

Counts

4 → 334

Calls

4 calls:

51.0ms	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))
6.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
5.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 11841 to 981 computations (91.7% saved)

series403.0ms (12.2%)

Error

Counts

4 → 24

Calls

4 calls:

127.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
108.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y)))
87.0ms	(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 y))))
55.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 1116 to 457 computations (59.1% saved)

simplify304.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4937	10012
1	4937	10012

prune305.0ms (9.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	358	3	361

Error

Counts

361 → 3

Compiler

Compiled 9047 to 885 computations (90.2% saved)

regimes97.0ms (2.9%)

Accuracy

Total 0.0b remaining (90.3%)

Threshold costs 0.0b (90.3%)

Compiler

Compiled 780 to 491 computations (37.1% 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%)

sample733.0ms (22.1%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
5.0ms	205×	body	128	invalid

Compiler

Compiled 269 to 172 computations (36.1% saved)

Details

analyze188.0ms (5.7%)

sample16.0ms (0.5%)

simplify18.0ms (0.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite34.0ms (1%)

series123.0ms (3.7%)

simplify67.0ms (2%)

prune26.0ms (0.8%)

localize6.0ms (0.2%)

rewrite142.0ms (4.3%)

series174.0ms (5.2%)

simplify120.0ms (3.6%)

prune87.0ms (2.6%)

localize10.0ms (0.3%)

rewrite448.0ms (13.5%)

series403.0ms (12.2%)

simplify304.0ms (9.2%)

prune305.0ms (9.2%)

regimes97.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample733.0ms (22.1%)

Profiling