Details

analyze38.0ms (2.1%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify169.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_11087`
12×	`times-frac_binary64_11093`
10×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
4×	`associate-/r*_binary64_11031` `distribute-lft-out_binary64_11038`
3×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `associate-/l*_binary64_11032`
2×	`associate-/r/_binary64_11033`
1×	`clear-num_binary64_11086` `add-log-exp_binary64_11126` `div-exp_binary64_11138` `pow1_binary64_11148` `flip-+_binary64_11061` `frac-2neg_binary64_11098` `div-inv_binary64_11084` `flip3-+_binary64_11090` `cbrt-undiv_binary64_11121`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 x y))

series54.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

53.0ms

(/.f64 x (+.f64 x y))

simplify66.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5149	431

prune54.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0b

Counts

37 → 5

Compiler

Compiled 802 to 380 computations (52.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_11087`
27×	`add-sqr-sqrt_binary64_11109`
26×	`times-frac_binary64_11093`
20×	`add-cube-cbrt_binary64_11122`
18×	`associate-r_binary64_11027`
15×	`add-exp-log_binary64_11125`
9×	`add-cbrt-cube_binary64_11123`
7×	`distribute-lft-out_binary64_11038`
5×	`pow1_binary64_11148`
4×	`div-exp_binary64_11138` `associate-/r*_binary64_11031` `prod-exp_binary64_11136` `associate-/r/_binary64_11033`
3×	`associate-l_binary64_11028` `unswap-sqr_binary64_11055` `associate-/l*_binary64_11032`
2×	`add-log-exp_binary64_11126` `flip-+_binary64_11061` `cbrt-unprod_binary64_11120` `1-exp_binary64_11131` `div-inv_binary64_11084` `flip3-+_binary64_11090` `cbrt-undiv_binary64_11121` `rec-exp_binary64_11137`
1×	`pow-prod-down_binary64_11158` `un-div-inv_binary64_11085` `clear-num_binary64_11086` `pow-flip_binary64_11161` `associate-r/_binary64_11029` `frac-2neg_binary64_11098` `inv-pow_binary64_11172` `-commutative_binary64_11018`

Counts

2 → 78

Calls

2 calls:

12.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))
6.0ms	(/.f64 1 (+.f64 x y))

series100.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))
44.0ms	(/.f64 1 (+.f64 x y))

simplify72.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4878	843
1	4878	843

prune52.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 963 to 409 computations (57.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite26.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_11093`
92×	`*-un-lft-identity_binary64_11087`
60×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
19×	`associate-/r*_binary64_11031`
16×	`distribute-lft-out_binary64_11038`
15×	`add-exp-log_binary64_11125`
9×	`add-cbrt-cube_binary64_11123`
8×	`div-exp_binary64_11138`
7×	`associate-/l*_binary64_11032`
6×	`div-inv_binary64_11084`
4×	`cbrt-undiv_binary64_11121`
3×	`pow1_binary64_11148`
2×	`associate-/l/_binary64_11034` `clear-num_binary64_11086` `add-log-exp_binary64_11126` `frac-2neg_binary64_11098` `1-exp_binary64_11131` `rec-exp_binary64_11137`
1×	`pow-flip_binary64_11161` `flip-+_binary64_11061` `inv-pow_binary64_11172` `flip3-+_binary64_11090` `associate-/r/_binary64_11033`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
6.0ms	(/.f64 (+.f64 x y) x)

series87.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
33.0ms	(/.f64 (+.f64 x y) x)

simplify89.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5302	1957

prune76.0ms (4.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	127	5	132

Merged error: 0b

Counts

132 → 5

Compiler

Compiled 1686 to 504 computations (70.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
14.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite37.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_11087`
60×	`times-frac_binary64_11093`
46×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
42×	`cbrt-prod_binary64_11118`
36×	`cube-prod_binary64_11115` `unpow-prod-down_binary64_11166`
16×	`distribute-lft-out_binary64_11038`
10×	`associate-/r/_binary64_11033`
8×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125`
5×	`flip-+_binary64_11061` `div-inv_binary64_11084` `flip3-+_binary64_11090`
4×	`pow1_binary64_11148` `associate-/r*_binary64_11031`
3×	`add-log-exp_binary64_11126` `pow-unpow_binary64_11164` `associate-/l*_binary64_11032`
2×	`rem-cube-cbrt_binary64_11110` `div-exp_binary64_11138` `cube-div_binary64_11116` `unpow3_binary64_11153` `cbrt-undiv_binary64_11121` `cube-mult_binary64_11117` `sqr-pow_binary64_11059` `pow-exp_binary64_11155`
1×	`clear-num_binary64_11086` `cbrt-div_binary64_11119` `pow-pow_binary64_11159` `frac-2neg_binary64_11098` `rem-cbrt-cube_binary64_11111` `pow1/3_binary64_11169` `pow-to-exp_binary64_11156`

Counts

3 → 141

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
6.0ms	(/.f64 x (+.f64 x y))

series239.0ms (12.9%)

Counts

3 → 9

Calls

3 calls:

128.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
60.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
51.0ms	(/.f64 x (+.f64 x y))

simplify97.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5367	2125

prune102.0ms (5.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	150	5	155

Merged error: 0b

Counts

155 → 5

Compiler

Compiled 1962 to 711 computations (63.8% saved)

regimes34.0ms (1.8%)

Compiler: Compiled 152 to 124 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample395.0ms (21.3%)

Algorithm

1×

intervals

Results

166.0ms

8000×

body

128

valid

Compiler

Compiled 57 to 47 computations (17.5% saved)

Details

analyze38.0ms (2.1%)

sample11.0ms (0.6%)

simplify169.0ms (9.1%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series54.0ms (2.9%)

simplify66.0ms (3.6%)

prune54.0ms (2.9%)

localize5.0ms (0.3%)

rewrite24.0ms (1.3%)

series100.0ms (5.4%)

simplify72.0ms (3.9%)

prune52.0ms (2.8%)

localize5.0ms (0.2%)

rewrite26.0ms (1.4%)

series87.0ms (4.7%)

simplify89.0ms (4.8%)

prune76.0ms (4.1%)

localize6.0ms (0.3%)

rewrite37.0ms (2%)

series239.0ms (12.9%)

simplify97.0ms (5.2%)

prune102.0ms (5.5%)

regimes34.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample395.0ms (21.3%)

Profiling