Details

analyze127.0ms (2.6%)

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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	186×	body	128	valid
7.0ms	30×	body	1024	valid
4.0ms	23×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify438.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (287.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

23.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
2.5b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
6.2b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_12354`
17×	`add-sqr-sqrt_binary64_12376`
10×	`cancel-sign-sub-inv_binary64_12320` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
9×	`add-cube-cbrt_binary64_12389`
8×	`times-frac_binary64_12360`
6×	`associate-l_binary64_12295`
5×	`add-log-exp_binary64_12393` `pow1_binary64_12415`
4×	`associate-/r_binary64_12298` `associate-/r/_binary64_12300` `difference-of-squares_binary64_12323` `associate-l/_binary64_12297`
3×	`flip--_binary64_12329` `distribute-lft-out_binary64_12305` `associate-r_binary64_12294` `flip3--_binary64_12358`
2×	`cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `associate-/l/_binary64_12301` `cbrt-undiv_binary64_12388` `distribute-lft-out--_binary64_12306` `prod-exp_binary64_12403` `flip-+_binary64_12328` `div-exp_binary64_12405` `flip3-+_binary64_12357`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `diff-log_binary64_12446` `associate-/l_binary64_12299` `frac-2neg_binary64_12365` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

3 → 74

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)

series130.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
41.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
22.0ms	(*.f64 (-.f64 1 x) y)

simplify102.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5643	1232

prune110.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Error

0.1b

Counts

84 → 5

Compiler

Compiled 1369 to 982 computations (28.3% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 1 y))
0.0b	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
2.5b	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_12354`
29×	`add-sqr-sqrt_binary64_12376`
25×	`times-frac_binary64_12360`
21×	`add-cube-cbrt_binary64_12389`
18×	`associate-r_binary64_12294`
10×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
7×	`distribute-lft-out_binary64_12305`
6×	`associate-l_binary64_12295`
5×	`add-log-exp_binary64_12393` `pow1_binary64_12415`
4×	`associate-/r*_binary64_12298` `associate-/r/_binary64_12300`
3×	`flip--_binary64_12329` `associate-/l*_binary64_12299` `flip3--_binary64_12358`
2×	`frac-times_binary64_12364` `cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `difference-of-squares_binary64_12323` `associate-*l/_binary64_12297` `prod-exp_binary64_12403` `flip-+_binary64_12328` `unswap-sqr_binary64_12322` `div-exp_binary64_12405` `flip3-+_binary64_12357`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `diff-log_binary64_12446` `frac-2neg_binary64_12365` `distribute-lft-out--_binary64_12306` `cancel-sign-sub-inv_binary64_12320` `associate-r/_binary64_12296` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

3 → 89

Calls

3 calls:

26.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
10.0ms	(/.f64 y (+.f64 1 y))
7.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

series123.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))
33.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
19.0ms	(/.f64 y (+.f64 1 y))

simplify153.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4971	1527
1	4971	1527

prune139.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Error

0.1b

Counts

103 → 5

Compiler

Compiled 1738 to 1242 computations (28.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 y))
0.0b	(*.f64 (-.f64 1 x) y)
4.5b	(-.f64 1 (.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y))))
6.2b	(.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y)))

rewrite65.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_12354`
32×	`add-exp-log_binary64_12392`
28×	`add-sqr-sqrt_binary64_12376`
24×	`times-frac_binary64_12360`
23×	`add-cube-cbrt_binary64_12389`
21×	`associate-r_binary64_12294`
20×	`add-cbrt-cube_binary64_12390`
13×	`prod-exp_binary64_12403`
12×	`pow1_binary64_12415`
8×	`associate-*l/_binary64_12297`
7×	`cbrt-unprod_binary64_12387` `distribute-lft-out_binary64_12305` `associate-l_binary64_12295`
6×	`add-log-exp_binary64_12393` `div-exp_binary64_12405`
4×	`pow-prod-down_binary64_12425` `flip--_binary64_12329` `associate-/r*_binary64_12298` `associate-/r/_binary64_12300` `flip3--_binary64_12358`
3×	`associate-/l*_binary64_12299` `rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `1-exp_binary64_12398`
2×	`frac-times_binary64_12364` `div-inv_binary64_12351` `difference-of-squares_binary64_12323` `flip-+_binary64_12328` `flip3-+_binary64_12357` `*-commutative_binary64_12285`
1×	`clear-num_binary64_12353` `diff-log_binary64_12446` `un-div-inv_binary64_12352` `frac-2neg_binary64_12365` `inv-pow_binary64_12439` `pow-flip_binary64_12428` `distribute-lft-out--_binary64_12306` `cancel-sign-sub-inv_binary64_12320` `associate-*r/_binary64_12296` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347`

Counts

4 → 119

Calls

4 calls:

34.0ms	(.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y)))
8.0ms	(*.f64 (-.f64 1 x) y)
8.0ms	(-.f64 1 (.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y))))
6.0ms	(/.f64 1 (+.f64 1 y))

series150.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(-.f64 1 (.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y))))
40.0ms	(.f64 (.f64 (-.f64 1 x) y) (/.f64 1 (+.f64 1 y)))
19.0ms	(*.f64 (-.f64 1 x) y)
9.0ms	(/.f64 1 (+.f64 1 y))

simplify107.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5395	1772

prune158.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	131	5	136

Error

0.1b

Counts

136 → 5

Compiler

Compiled 2310 to 1781 computations (22.9% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

6.7b	(cbrt.f64 (*.f64 (-.f64 1 x) y))
6.7b	(cbrt.f64 (*.f64 (-.f64 1 x) y))
6.7b	(cbrt.f64 (*.f64 (-.f64 1 x) y))
12.5b	(-.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 x) y)) (cbrt.f64 (.f64 (-.f64 1 x) y))) (cbrt.f64 (*.f64 (-.f64 1 x) y))) (+.f64 y 1)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_12354`
10×	`cancel-sign-sub-inv_binary64_12320`
9×	`add-sqr-sqrt_binary64_12376`
6×	`cbrt-div_binary64_12386` `add-log-exp_binary64_12393` `associate-*l/_binary64_12297` `add-cube-cbrt_binary64_12389`
4×	`flip--_binary64_12329` `pow1_binary64_12415` `flip3--_binary64_12358` `times-frac_binary64_12360` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
3×	`pow1/3_binary64_12436` `cbrt-prod_binary64_12385`
2×	`associate-/r/_binary64_12300` `difference-of-squares_binary64_12323`
1×	`distribute-lft-out_binary64_12305` `diff-log_binary64_12446` `div-inv_binary64_12351` `distribute-lft-out--_binary64_12306` `flip-+_binary64_12328` `sub-neg_binary64_12347` `flip3-+_binary64_12357`

Counts

4 → 57

Calls

4 calls:

12.0ms	(-.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 x) y)) (cbrt.f64 (.f64 (-.f64 1 x) y))) (cbrt.f64 (*.f64 (-.f64 1 x) y))) (+.f64 y 1)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))

series389.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))
95.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))
92.0ms	(-.f64 1 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 x) y)) (cbrt.f64 (.f64 (-.f64 1 x) y))) (cbrt.f64 (*.f64 (-.f64 1 x) y))) (+.f64 y 1)))
91.0ms	(cbrt.f64 (*.f64 (-.f64 1 x) y))

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4938	1266
1	4938	1266

prune143.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Error

0.1b

Counts

74 → 5

Compiler

Compiled 1858 to 1331 computations (28.4% saved)

regimes543.0ms (11.4%)

Accuracy

Total 0.0b remaining (6.5%)

Threshold costs 0.0b (6.5%)

Compiler

Compiled 2294 to 1956 computations (14.7% saved)

bsearch44.0ms (0.9%)

Steps

Iters	Range		Point
11	4513667.376699865	3.288790561622047e+26	343191702.6830923
9	-1582011251.253287	-1053.1793322826327	-163605396.920908

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	151	43
1	151	43

end0.0ms (0%)

sample1.6s (32.5%)

Algorithm

1×

intervals

Results

334.0ms	6299×	body	128	valid
116.0ms	616×	body	1024	valid
99.0ms	671×	body	512	valid
40.0ms	409×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 461 to 383 computations (16.9% saved)

Details

analyze127.0ms (2.6%)

sample36.0ms (0.7%)

simplify438.0ms (9.2%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite34.0ms (0.7%)

series130.0ms (2.7%)

simplify102.0ms (2.1%)

prune110.0ms (2.3%)

localize15.0ms (0.3%)

rewrite56.0ms (1.2%)

series123.0ms (2.6%)

simplify153.0ms (3.2%)

prune139.0ms (2.9%)

localize17.0ms (0.3%)

rewrite65.0ms (1.4%)

series150.0ms (3.1%)

simplify107.0ms (2.2%)

prune158.0ms (3.3%)

localize22.0ms (0.5%)

rewrite35.0ms (0.7%)

series389.0ms (8.1%)

simplify68.0ms (1.4%)

prune143.0ms (3%)

regimes543.0ms (11.4%)

bsearch44.0ms (0.9%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.6s (32.5%)

Profiling