Details

analyze414.0ms (5.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1432	36
1	1432	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	4
25%	25%	50%	5
25%	25%	50%	5
31.2%	18.7%	50%	6
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
34.3%	15.6%	50%	7
39%	10.9%	50%	8
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14
45.9%	1.5%	52.6%	14

Compiler

Compiled 30 to 28 computations (6.7% saved)

sample425.0ms (5.8%)

Algorithm

2×

intervals

Results

27.0ms	570×	body	128	nan
23.0ms	512×	body	128	valid
2.0ms	35×	body	128	invalid

Compiler

Compiled 8369 to 8925 computations (-6.6% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	497	18
1	497	18

prune5.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.3b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 1 (*.f64 x 9))

rewrite199.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_11710` `*-un-lft-identity_binary64_11672`
21×	`add-sqr-sqrt_binary64_11694`
16×	`add-cbrt-cube_binary64_11708`
15×	`add-cube-cbrt_binary64_11707`
14×	`cancel-sign-sub-inv_binary64_11638`
12×	`times-frac_binary64_11678`
9×	`pow1_binary64_11733` `add-log-exp_binary64_11711`
8×	`associate--l+_binary64_11609`
6×	`div-exp_binary64_11723` `associate-/l_binary64_11617` `associate-r*_binary64_11612`
5×	`prod-exp_binary64_11721` `div-inv_binary64_11669` `distribute-lft-out--_binary64_11624`
4×	`cbrt-undiv_binary64_11706` `sqrt-prod_binary64_11688`
3×	`cbrt-unprod_binary64_11705` `associate-l_binary64_11613` `diff-log_binary64_11764`
2×	`pow-prod-down_binary64_11743` `pow-flip_binary64_11746` `1-exp_binary64_11716` `rec-exp_binary64_11722` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `associate-/r*_binary64_11616` `unswap-sqr_binary64_11640` `flip3--_binary64_11676` `frac-sub_binary64_11681` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`inv-pow_binary64_11757` `*-commutative_binary64_11603` `difference-of-squares_binary64_11641` `associate--l-_binary64_11610`

Counts

4 → 105

Calls

4 calls:

15.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
6.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2210 to 1614 computations (27% saved)

series370.0ms (5.1%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

182.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
118.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
27.0ms	(/.f64 1 (*.f64 x 9))
22.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5162	1561

prune169.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	117	9	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	119	9	128

Error

0.0b

Counts

128 → 9

Compiler

Compiled 2231 to 1613 computations (27.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))
0.4b	(/.f64 1 (*.f64 x 9))

rewrite489.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

285×	`times-frac_binary64_11678`
169×	`add-sqr-sqrt_binary64_11694`
160×	`*-un-lft-identity_binary64_11672`
153×	`add-cube-cbrt_binary64_11707`
89×	`cancel-sign-sub-inv_binary64_11638`
83×	`sqrt-prod_binary64_11688`
19×	`add-exp-log_binary64_11710`
18×	`div-inv_binary64_11669`
16×	`associate-/l*_binary64_11617`
13×	`add-cbrt-cube_binary64_11708`
8×	`add-log-exp_binary64_11711` `associate--l+_binary64_11609`
7×	`div-exp_binary64_11723` `associate-/r*_binary64_11616`
6×	`pow1_binary64_11733`
5×	`cbrt-undiv_binary64_11706` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
3×	`prod-exp_binary64_11721` `diff-log_binary64_11764`
2×	`pow-flip_binary64_11746` `1-exp_binary64_11716` `rec-exp_binary64_11722` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `frac-sub_binary64_11681` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`inv-pow_binary64_11757` `pow-prod-down_binary64_11743` `cbrt-unprod_binary64_11705` `associate-/l/_binary64_11619` `associate--l-_binary64_11610`

Counts

3 → 253

Calls

3 calls:

51.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
7.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
4.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 6435 to 4281 computations (33.5% saved)

series333.0ms (4.6%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

182.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
110.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))
27.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 666 to 592 computations (11.1% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5067	5664

prune396.0ms (5.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	271	9	280

Error

0.0b

Counts

280 → 9

Compiler

Compiled 5901 to 3870 computations (34.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 -1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
0.2b	(/.f64 y (sqrt.f64 x))
0.3b	(/.f64 -1/9 x)
0.4b	(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))

rewrite169.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64_11694`
47×	`times-frac_binary64_11678`
41×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
22×	`sqrt-prod_binary64_11688` `associate-r_binary64_11612`
13×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
9×	`associate-/r*_binary64_11616`
6×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `associate-/l*_binary64_11617`
3×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `unswap-sqr_binary64_11640` `associate-l_binary64_11613` `div-inv_binary64_11669`
2×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `associate-*r/_binary64_11614` `frac-2neg_binary64_11683` `clear-num_binary64_11671`
1×	`pow-prod-down_binary64_11743` `*-commutative_binary64_11603` `sum-log_binary64_11763` `frac-add_binary64_11680` `flip3-+_binary64_11675` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

4 → 120

Calls

4 calls:

10.0ms	(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
6.0ms	(+.f64 (/.f64 -1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
4.0ms	(/.f64 y (sqrt.f64 x))
3.0ms	(/.f64 -1/9 x)

Compiler

Compiled 2346 to 1285 computations (45.2% saved)

series421.0ms (5.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

176.0ms	(+.f64 (/.f64 -1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
119.0ms	(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
86.0ms	(/.f64 y (sqrt.f64 x))
22.0ms	(/.f64 -1/9 x)

Compiler

Compiled 944 to 819 computations (13.2% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5079	1760

prune160.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	146	7	153

Error

0.0b

Counts

153 → 7

Compiler

Compiled 2556 to 1482 computations (42% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
0.3b	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
0.4b	(/.f64 1/3 (sqrt.f64 x))
0.4b	(/.f64 1 (*.f64 x 9))

rewrite214.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`add-sqr-sqrt_binary64_11694`
44×	`times-frac_binary64_11678`
37×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
22×	`add-exp-log_binary64_11710` `sqrt-prod_binary64_11688` `associate-r_binary64_11612`
16×	`add-cbrt-cube_binary64_11708`
9×	`pow1_binary64_11733` `add-log-exp_binary64_11711`
8×	`cancel-sign-sub-inv_binary64_11638` `associate--l+_binary64_11609`
7×	`associate-/r*_binary64_11616`
6×	`div-exp_binary64_11723` `associate-/l*_binary64_11617`
5×	`prod-exp_binary64_11721`
4×	`cbrt-undiv_binary64_11706` `div-inv_binary64_11669`
3×	`cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `associate-r/_binary64_11614` `associate-l*_binary64_11613` `diff-log_binary64_11764`
2×	`pow-prod-down_binary64_11743` `pow-flip_binary64_11746` `1-exp_binary64_11716` `rec-exp_binary64_11722` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `frac-sub_binary64_11681` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`inv-pow_binary64_11757` `*-commutative_binary64_11603` `associate--l-_binary64_11610`

Counts

4 → 133

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
9.0ms	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
4.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 2902 to 2074 computations (28.5% saved)

series353.0ms (4.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

173.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
114.0ms	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
26.0ms	(/.f64 1 (*.f64 x 9))
22.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4923	1961
1	4923	1961

prune174.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Error

0.0b

Counts

161 → 7

Compiler

Compiled 2747 to 1928 computations (29.8% saved)

regimes366.0ms (5%)

Accuracy

Total 0.3b remaining (97.7%)

Threshold costs 0.3b (97.7%)

Compiler

Compiled 3296 to 2937 computations (10.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	21
1	82	21

end0.0ms (0%)

sample2.3s (31.4%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
333.0ms	8501×	body	128	nan
22.0ms	535×	body	128	invalid

Compiler

Compiled 1101 to 983 computations (10.7% saved)

Details

analyze414.0ms (5.7%)

sample425.0ms (5.8%)

simplify31.0ms (0.4%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

rewrite199.0ms (2.7%)

series370.0ms (5.1%)

simplify44.0ms (0.6%)

prune169.0ms (2.3%)

localize9.0ms (0.1%)

rewrite489.0ms (6.7%)

series333.0ms (4.6%)

simplify92.0ms (1.3%)

prune396.0ms (5.4%)

localize8.0ms (0.1%)

rewrite169.0ms (2.3%)

series421.0ms (5.8%)

simplify77.0ms (1.1%)

prune160.0ms (2.2%)

localize10.0ms (0.1%)

rewrite214.0ms (2.9%)

series353.0ms (4.8%)

simplify67.0ms (0.9%)

prune174.0ms (2.4%)

regimes366.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.3s (31.4%)

Profiling