Details

analyze399.0ms (6%)

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)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	690	10
1	690	10

prune4.0ms (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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.4%)

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:

16.0ms

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

series185.0ms (2.8%)

Counts

1 → 18

Calls

1 calls:

185.0ms

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

Compiler

Compiled 263 to 217 computations (17.5% saved)

simplify123.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5668	1413

prune121.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1131 to 560 computations (50.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
36×	`times-frac_binary64_6222`
24×	`add-cube-cbrt_binary64_6251`
16×	`difference-of-squares_binary64_6185`
12×	`associate-/r*_binary64_6160`
8×	`distribute-lft-out--_binary64_6168`
6×	`associate-/l*_binary64_6161` `add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
4×	`associate-/r/_binary64_6162`
2×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `flip3--_binary64_6220` `frac-2neg_binary64_6227` `div-exp_binary64_6267` `flip--_binary64_6191` `add-log-exp_binary64_6255` `pow1_binary64_6277`

Counts

2 → 82

Calls

2 calls:

10.0ms	(/.f64 x (-.f64 1 y))
10.0ms	(/.f64 y (-.f64 1 y))

series192.0ms (2.9%)

Counts

2 → 25

Calls

2 calls:

139.0ms	(/.f64 x (-.f64 1 y))
53.0ms	(/.f64 y (-.f64 1 y))

Compiler

Compiled 433 to 347 computations (19.9% saved)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5804	1452

prune166.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Error

Counts

110 → 3

Compiler

Compiled 1841 to 1152 computations (37.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite185.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`add-sqr-sqrt_binary64_6238`
182×	`*-un-lft-identity_binary64_6216`
166×	`times-frac_binary64_6222`
125×	`sqrt-prod_binary64_6232`
81×	`add-cube-cbrt_binary64_6251`
57×	`difference-of-squares_binary64_6185`
51×	`associate-r_binary64_6156`
38×	`distribute-lft-out--_binary64_6168`
33×	`associate-l_binary64_6157`
32×	`add-exp-log_binary64_6254`
20×	`add-cbrt-cube_binary64_6252`
18×	`associate-/r*_binary64_6160`
15×	`unswap-sqr_binary64_6184`
11×	`div-exp_binary64_6267`
10×	`sqrt-div_binary64_6233`
9×	`pow1_binary64_6277`
8×	`associate-/r/_binary64_6162` `prod-exp_binary64_6265` `associate-/l*_binary64_6161`
6×	`cbrt-undiv_binary64_6250` `flip3--_binary64_6220` `flip--_binary64_6191`
4×	`div-inv_binary64_6213` `cbrt-unprod_binary64_6249` `add-log-exp_binary64_6255`
3×	`rec-exp_binary64_6266` `pow-flip_binary64_6290` `1-exp_binary64_6260`
2×	`clear-num_binary64_6215` `frac-2neg_binary64_6227` `associate-/l/_binary64_6163` `sqrt-pow1_binary64_6234` `pow1/2_binary64_6296`
1×	`rem-sqrt-square_binary64_6229` `associate-l/_binary64_6159` `pow-prod-down_binary64_6287` `associate-r/_binary64_6158` `frac-times_binary64_6226` `inv-pow_binary64_6301` `div-sub_binary64_6221` `*-commutative_binary64_6147`

Counts

4 → 276

Calls

4 calls:

90.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))
18.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y)))
13.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 y)))
7.0ms	(sqrt.f64 (-.f64 1 y))

series473.0ms (7.1%)

Counts

4 → 42

Calls

4 calls:

214.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y)))
186.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))
39.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 y)))
34.0ms	(sqrt.f64 (-.f64 1 y))

Compiler

Compiled 912 to 769 computations (15.7% saved)

simplify170.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5083	6225

prune666.0ms (10.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	318	3	321

Error

Counts

321 → 3

Compiler

Compiled 6794 to 4409 computations (35.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.2b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite232.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

411×	`*-un-lft-identity_binary64_6216`
358×	`add-sqr-sqrt_binary64_6238`
271×	`times-frac_binary64_6222`
246×	`sqrt-prod_binary64_6232`
130×	`difference-of-squares_binary64_6185`
119×	`distribute-lft-out--_binary64_6168`
102×	`add-cube-cbrt_binary64_6251`
67×	`swap-sqr_binary64_6183`
39×	`associate-r_binary64_6156` `associate-l_binary64_6157`
20×	`pow1_binary64_6277`
14×	`associate-/r/_binary64_6162`
12×	`associate-/r*_binary64_6160`
10×	`associate-/l*_binary64_6161` `add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
9×	`flip3--_binary64_6220` `unswap-sqr_binary64_6184` `sqrt-pow1_binary64_6234` `pow1/2_binary64_6296` `flip--_binary64_6191`
7×	`div-inv_binary64_6213`
6×	`rem-sqrt-square_binary64_6229`
5×	`sqrt-div_binary64_6233` `pow-prod-up_binary64_6286`
4×	`associate-/l/_binary64_6163` `add-log-exp_binary64_6255`
3×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189`
2×	`sqr-abs_binary64_6231` `clear-num_binary64_6215` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `div-exp_binary64_6267` `div-sub_binary64_6221`
1×	`pow-plus_binary64_6279` `sqrt-unprod_binary64_6236` `prod-exp_binary64_6265` `associate-l/_binary64_6159` `pow2_binary64_6297` `rem-square-sqrt_binary64_6228` `associate-r/_binary64_6158` `frac-times_binary64_6226` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 348

Calls

4 calls:

88.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
22.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
17.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
16.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series814.0ms (12.3%)

Counts

4 → 70

Calls

4 calls:

248.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
192.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
190.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
183.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2050 to 1621 computations (20.9% saved)

simplify290.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4947	8928
1	4947	8928

prune938.0ms (14.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	418	0	418
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	418	3	421

Error

Counts

421 → 3

Compiler

Compiled 9459 to 4978 computations (47.4% saved)

regimes196.0ms (3%)

Accuracy

Total 0.0b remaining (88.2%)

Threshold costs 0.0b (88.2%)

Compiler

Compiled 701 to 587 computations (16.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.1s (16.9%)

Algorithm

1×

intervals

Results

328.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 227 to 190 computations (16.3% saved)

Details

analyze399.0ms (6%)

sample20.0ms (0.3%)

simplify94.0ms (1.4%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite25.0ms (0.4%)

series185.0ms (2.8%)

simplify123.0ms (1.9%)

prune121.0ms (1.8%)

localize11.0ms (0.2%)

rewrite33.0ms (0.5%)

series192.0ms (2.9%)

simplify121.0ms (1.8%)

prune166.0ms (2.5%)

localize16.0ms (0.2%)

rewrite185.0ms (2.8%)

series473.0ms (7.1%)

simplify170.0ms (2.6%)

prune666.0ms (10.1%)

localize14.0ms (0.2%)

rewrite232.0ms (3.5%)

series814.0ms (12.3%)

simplify290.0ms (4.4%)

prune938.0ms (14.2%)

regimes196.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (16.9%)

Profiling