Details

analyze36.0ms (0.7%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
50%	50%	0.1%	6
68.7%	31.2%	0.1%	7
81.2%	18.7%	0.1%	8
89%	10.9%	0.1%	9
92.1%	7.8%	0.1%	10
95.6%	4.3%	0.1%	11
96.4%	3.5%	0.1%	12
98%	1.9%	0.1%	13
98.2%	1.7%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify229.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4853	13
1	4853	13

prune2.0ms (0%)

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

15.1b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 2) y)
14.5b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

rewrite62.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
9×	`add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
7×	`pow1_binary64_16166`
6×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
5×	`add-cube-cbrt_binary64_16140` `times-frac_binary64_16111` `associate-/r*_binary64_16049`
3×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `pow-prod-down_binary64_16176` `associate-r_binary64_16045`
2×	`add-log-exp_binary64_16144` `difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057` `associate-/r/_binary64_16051`
1×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `div-inv_binary64_16102` `flip3--_binary64_16109` `flip--_binary64_16080` `associate-/l_binary64_16050` `associate-l_binary64_16046` `-commutative_binary64_16036`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
5.0ms	(.f64 (.f64 x 2) y)

Compiler

Compiled 744 to 364 computations (51.1% saved)

series166.0ms (3.4%)

Error

1.3b

Counts

2 → 27

Calls

2 calls:

97.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
47.0ms	(.f64 (.f64 x 2) y)

Compiler

Compiled 879 to 700 computations (20.4% saved)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5056	1010

prune55.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Error

0.0b

Counts

75 → 3

Compiler

Compiled 948 to 484 computations (48.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.2b	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

rewrite162.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

96×	`add-sqr-sqrt_binary64_16127`
95×	`times-frac_binary64_16111`
76×	`*-un-lft-identity_binary64_16105`
36×	`add-cube-cbrt_binary64_16140`
25×	`distribute-lft-out--_binary64_16057`
20×	`difference-of-squares_binary64_16074`
13×	`cancel-sign-sub-inv_binary64_16071`
12×	`div-inv_binary64_16102` `associate-/r*_binary64_16049`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141`
3×	`pow1_binary64_16166` `associate-/r/_binary64_16051` `associate-/l*_binary64_16050`
2×	`div-exp_binary64_16156` `frac-sub_binary64_16114` `flip3--_binary64_16109` `flip--_binary64_16080`
1×	`inv-pow_binary64_16190` `pow-flip_binary64_16179` `1-exp_binary64_16149` `rec-exp_binary64_16155` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `clear-num_binary64_16104` `diff-log_binary64_16197` `sub-neg_binary64_16098`

Counts

2 → 104

Calls

2 calls:

18.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
16.0ms	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 1998 to 1613 computations (19.3% saved)

series236.0ms (4.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

109.0ms	(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
102.0ms	(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 1011 to 878 computations (13.2% saved)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4915	2415
1	4915	2415

prune123.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 2101 to 1591 computations (24.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.5b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.5b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.5b	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))

rewrite502.0ms (10.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

121×	`add-sqr-sqrt_binary64_16127`
92×	`cbrt-prod_binary64_16136`
91×	`*-un-lft-identity_binary64_16105`
70×	`times-frac_binary64_16111`
37×	`distribute-lft-out--_binary64_16057`
33×	`cbrt-div_binary64_16137`
29×	`add-cube-cbrt_binary64_16140`
28×	`difference-of-squares_binary64_16074`
17×	`swap-sqr_binary64_16072`
15×	`associate-l_binary64_16046` `associate-r_binary64_16045`
14×	`div-inv_binary64_16102`
11×	`pow1_binary64_16166` `frac-sub_binary64_16114` `flip3--_binary64_16109` `flip--_binary64_16080`
9×	`pow1/3_binary64_16187` `frac-times_binary64_16115`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `unswap-sqr_binary64_16073`
3×	`associate-l/_binary64_16048` `associate-r/_binary64_16047`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `*-commutative_binary64_16036`

Counts

4 → 153

Calls

4 calls:

39.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
13.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
13.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
13.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 6203 to 4905 computations (20.9% saved)

series968.0ms (19.6%)

Error

Counts

4 → 65

Calls

4 calls:

265.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
193.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
190.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
187.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 6590 to 5616 computations (14.8% saved)

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	5921
1	4942	5921

prune567.0ms (11.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	218	4	222

Error

Counts

222 → 4

Compiler

Compiled 7918 to 6110 computations (22.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 x y))
6.1b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite79.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
30×	`times-frac_binary64_16111`
21×	`add-cube-cbrt_binary64_16140` `associate-r_binary64_16045`
16×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
7×	`pow1_binary64_16166` `difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057`
6×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
5×	`associate-/r*_binary64_16049`
4×	`associate-/r/_binary64_16051`
3×	`pow-prod-down_binary64_16176` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-/l*_binary64_16050`
2×	`add-log-exp_binary64_16144` `div-inv_binary64_16102` `flip3--_binary64_16109` `flip--_binary64_16080`
1×	`associate-r/_binary64_16047` `associate-l_binary64_16046` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `clear-num_binary64_16104`

Counts

2 → 78

Calls

2 calls:

11.0ms	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
5.0ms	(/.f64 y (-.f64 x y))

Compiler

Compiled 1357 to 488 computations (64% saved)

series215.0ms (4.4%)

Error

Counts

2 → 42

Calls

2 calls:

100.0ms	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
82.0ms	(/.f64 y (-.f64 x y))

Compiler

Compiled 1434 to 1132 computations (21.1% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	1768
1	4963	1768

prune79.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Error

Counts

124 → 4

Compiler

Compiled 1714 to 676 computations (60.6% saved)

regimes160.0ms (3.2%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 1569 to 1139 computations (27.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms (0%)

sample912.0ms (18.5%)

Algorithm

1×

intervals

Results

234.0ms

8000×

body

128

valid

Compiler

Compiled 533 to 388 computations (27.2% saved)

Details

analyze36.0ms (0.7%)

sample22.0ms (0.4%)

simplify229.0ms (4.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite62.0ms (1.3%)

series166.0ms (3.4%)

simplify56.0ms (1.1%)

prune55.0ms (1.1%)

localize6.0ms (0.1%)

rewrite162.0ms (3.3%)

series236.0ms (4.8%)

simplify72.0ms (1.5%)

prune123.0ms (2.5%)

localize10.0ms (0.2%)

rewrite502.0ms (10.2%)

series968.0ms (19.6%)

simplify120.0ms (2.4%)

prune567.0ms (11.5%)

localize6.0ms (0.1%)

rewrite79.0ms (1.6%)

series215.0ms (4.4%)

simplify81.0ms (1.6%)

prune79.0ms (1.6%)

regimes160.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample912.0ms (18.5%)

Profiling