Details

analyze225.0ms (12.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1126	20
1	1126	20
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify49.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	690	10
1	690	10

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 (-.f64 x y) (-.f64 1 y))

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
30×	`times-frac_binary64_6222`
19×	`difference-of-squares_binary64_6185`
14×	`add-cube-cbrt_binary64_6251`
13×	`distribute-lft-out--_binary64_6168`
6×	`associate-/r*_binary64_6160`
5×	`associate-/l*_binary64_6161`
3×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
2×	`associate-/r/_binary64_6162` `flip3--_binary64_6220` `associate-/l/_binary64_6163` `flip--_binary64_6191`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `div-exp_binary64_6267` `div-sub_binary64_6221` `add-log-exp_binary64_6255` `pow1_binary64_6277`

Counts

1 → 58

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

series28.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify107.0ms (6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4842	1144
1	4842	1144

prune49.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 926 to 452 computations (51.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`times-frac_binary64_6222`
240×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
100×	`add-cube-cbrt_binary64_6251`
83×	`difference-of-squares_binary64_6185`
57×	`distribute-lft-out--_binary64_6168`
41×	`associate-/r*_binary64_6160`
15×	`add-exp-log_binary64_6254`
11×	`associate-/r/_binary64_6162`
9×	`associate-/l*_binary64_6161` `add-cbrt-cube_binary64_6252`
8×	`div-exp_binary64_6267`
6×	`div-inv_binary64_6213` `flip3--_binary64_6220` `flip--_binary64_6191`
4×	`cbrt-undiv_binary64_6250`
3×	`pow1_binary64_6277`
2×	`rec-exp_binary64_6266` `1-exp_binary64_6260` `clear-num_binary64_6215` `frac-2neg_binary64_6227` `associate-/l/_binary64_6163` `add-log-exp_binary64_6255`
1×	`pow-flip_binary64_6290` `inv-pow_binary64_6301` `div-sub_binary64_6221`

Counts

2 → 226

Calls

2 calls:

16.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
8.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

series52.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
21.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

simplify110.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5854	5122

prune202.0ms (11.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	232	3	235

Error

Counts

235 → 3

Compiler

Compiled 4137 to 2154 computations (47.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))
0.2b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)))

rewrite59.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`add-sqr-sqrt_binary64_6238`
127×	`*-un-lft-identity_binary64_6216`
100×	`times-frac_binary64_6222`
75×	`sqrt-prod_binary64_6232`
54×	`associate-r_binary64_6156`
48×	`difference-of-squares_binary64_6185` `add-cube-cbrt_binary64_6251`
31×	`distribute-lft-out--_binary64_6168`
9×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
8×	`associate-/l_binary64_6161` `associate-l*_binary64_6157`
6×	`associate-/r*_binary64_6160` `unswap-sqr_binary64_6184` `sqrt-div_binary64_6233`
5×	`flip3--_binary64_6220` `flip--_binary64_6191`
4×	`associate-/r/_binary64_6162` `pow1_binary64_6277`
2×	`div-inv_binary64_6213` `cbrt-undiv_binary64_6250` `prod-exp_binary64_6265` `associate-*l/_binary64_6159` `associate-/l/_binary64_6163` `div-exp_binary64_6267` `frac-times_binary64_6226` `cbrt-unprod_binary64_6249` `add-log-exp_binary64_6255`
1×	`clear-num_binary64_6215` `pow-prod-down_binary64_6287` `frac-2neg_binary64_6227` `associate-r/_binary64_6158` `-commutative_binary64_6147`

Counts

2 → 164

Calls

2 calls:

28.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)))
9.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))

series101.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))
29.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)))

simplify79.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	3596
1	4963	3596

prune143.0ms (7.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Error

Counts

173 → 3

Compiler

Compiled 3588 to 1392 computations (61.2% saved)

regimes48.0ms (2.7%)

Accuracy

Total 0.0b remaining (82.3%)

Threshold costs 0.0b (82.3%)

Compiler

Compiled 300 to 242 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample446.0ms (24.9%)

Algorithm

1×

intervals

Results

179.0ms	7998×	body	128	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 109 to 89 computations (18.3% saved)

Details

analyze225.0ms (12.5%)

sample12.0ms (0.6%)

simplify49.0ms (2.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite14.0ms (0.8%)

series28.0ms (1.6%)

simplify107.0ms (6%)

prune49.0ms (2.7%)

localize6.0ms (0.3%)

rewrite49.0ms (2.7%)

series52.0ms (2.9%)

simplify110.0ms (6.1%)

prune202.0ms (11.2%)

localize6.0ms (0.4%)

rewrite59.0ms (3.3%)

series101.0ms (5.6%)

simplify79.0ms (4.4%)

prune143.0ms (7.9%)

regimes48.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample446.0ms (24.9%)

Profiling