Details

analyze82.0ms (1.1%)

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
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)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	194×	body	128	valid
2.0ms	29×	body	512	valid
2.0ms	15×	body	1024	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify284.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune2.0ms (0%)

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

25.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.2b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.1b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite96.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

15×	`*-un-lft-identity_binary64_17128`
10×	`cancel-sign-sub-inv_binary64_17094`
9×	`add-sqr-sqrt_binary64_17150`
8×	`times-frac_binary64_17134`
7×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
6×	`add-cube-cbrt_binary64_17163`
4×	`add-log-exp_binary64_17167` `associate-/r/_binary64_17074` `associate-/r*_binary64_17072`
3×	`distribute-lft-out_binary64_17079`
2×	`pow1_binary64_17189` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `div-inv_binary64_17125` `flip3--_binary64_17132` `associate-*l/_binary64_17071` `associate-/l/_binary64_17075` `flip--_binary64_17103` `flip3-+_binary64_17131` `flip-+_binary64_17102` `difference-of-squares_binary64_17097`
1×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l*_binary64_17073` `diff-log_binary64_17220` `sub-neg_binary64_17121` `distribute-lft-out--_binary64_17080`

Counts

2 → 51

Calls

2 calls:

10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))

Compiler

Compiled 1038 to 786 computations (24.3% saved)

series288.0ms (3.8%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

129.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
121.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

Compiler

Compiled 1226 to 894 computations (27.1% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5407	1637

prune83.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Error

0.0b

Counts

88 → 4

Compiler

Compiled 1439 to 864 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
4.2b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite139.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_17128`
33×	`add-sqr-sqrt_binary64_17150`
25×	`add-cube-cbrt_binary64_17163` `times-frac_binary64_17134`
18×	`associate-l_binary64_17069`
13×	`cancel-sign-sub-inv_binary64_17094`
10×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
8×	`distribute-rgt-in_binary64_17078` `associate--r+_binary64_17064` `distribute-lft-in_binary64_17077`
7×	`distribute-lft-out_binary64_17079`
6×	`associate-r_binary64_17068`
5×	`add-log-exp_binary64_17167` `pow1_binary64_17189` `sub-neg_binary64_17121`
4×	`associate-/r/_binary64_17074` `associate-/r*_binary64_17072`
3×	`flip3--_binary64_17132` `flip--_binary64_17103` `associate-/l*_binary64_17073`
2×	`div-exp_binary64_17179` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `cbrt-undiv_binary64_17162` `frac-times_binary64_17138` `unswap-sqr_binary64_17096` `associate-*r/_binary64_17070` `div-inv_binary64_17125` `flip3-+_binary64_17131` `flip-+_binary64_17102` `difference-of-squares_binary64_17097`
1×	`diff-log_binary64_17220` `pow-prod-down_binary64_17199` `associate-l/_binary64_17071` `distribute-lft-out--_binary64_17080` `-commutative_binary64_17059` `frac-2neg_binary64_17139` `clear-num_binary64_17127`

Counts

3 → 105

Calls

3 calls:

17.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
5.0ms	(/.f64 y (+.f64 y 1))
5.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series301.0ms (4%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

126.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
109.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
30.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1562 to 1186 computations (24.1% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	2490
1	4963	2490

prune139.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Error

0.0b

Counts

157 → 4

Compiler

Compiled 2625 to 1765 computations (32.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.2b	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
5.4b	(/.f64 x (*.f64 y y))
5.4b	(/.f64 x (pow.f64 y 3))
7.5b	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))

rewrite909.0ms (12.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

186×	`*-un-lft-identity_binary64_17128`
116×	`distribute-lft-out_binary64_17079`
67×	`add-log-exp_binary64_17167`
41×	`times-frac_binary64_17134`
36×	`sum-log_binary64_17219`
34×	`add-sqr-sqrt_binary64_17150`
32×	`add-cube-cbrt_binary64_17163`
31×	`div-inv_binary64_17125`
28×	`frac-add_binary64_17136` `distribute-lft-out--_binary64_17080`
20×	`flip3-+_binary64_17131` `frac-sub_binary64_17137` `flip-+_binary64_17102`
14×	`add-exp-log_binary64_17166`
13×	`associate-/r*_binary64_17072`
12×	`diff-log_binary64_17220` `unpow-prod-down_binary64_17207` `cube-prod_binary64_17156`
11×	`add-cbrt-cube_binary64_17164`
7×	`cancel-sign-sub-inv_binary64_17094`
6×	`associate-/l*_binary64_17073`
5×	`cube-mult_binary64_17158` `div-exp_binary64_17179`
4×	`pow1_binary64_17189` `unpow3_binary64_17194` `sqr-pow_binary64_17100`
3×	`cbrt-undiv_binary64_17162`
2×	`frac-2neg_binary64_17139` `clear-num_binary64_17127`
1×	`flip3--_binary64_17132` `sub-neg_binary64_17121` `flip--_binary64_17103` `difference-of-squares_binary64_17097` `distribute-rgt-out_binary64_17081` `associate--l+_binary64_17065` `associate--r+_binary64_17064` `pow-to-exp_binary64_17197` `pow-exp_binary64_17196` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-+r+_binary64_17060` `+-commutative_binary64_17058`

Counts

4 → 188

Calls

4 calls:

86.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
44.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
10.0ms	(/.f64 x (*.f64 y y))
5.0ms	(/.f64 x (pow.f64 y 3))

Compiler

Compiled 10765 to 5779 computations (46.3% saved)

series649.0ms (8.6%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

279.0ms	(-.f64 (+.f64 (/.f64 x (.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))))
146.0ms	(+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
93.0ms	(/.f64 x (pow.f64 y 3))
76.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 2947 to 2009 computations (31.8% saved)

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5006	10249

prune559.0ms (7.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	232	5	237

Error

0.0b

Counts

237 → 5

Compiler

Compiled 10871 to 5813 computations (46.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y (+.f64 x y)))
2.4b	(*.f64 x (+.f64 y (pow.f64 y 3)))
7.2b	(+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))
9.7b	(+.f64 (.f64 y (.f64 y (+.f64 x y))) (-.f64 y (+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))))

rewrite154.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-log-exp_binary64_17167`
14×	`associate-*r/_binary64_17070`
11×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `*-un-lft-identity_binary64_17128`
10×	`add-sqr-sqrt_binary64_17150` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
8×	`add-cube-cbrt_binary64_17163`
7×	`associate-r_binary64_17068`
6×	`flip3-+_binary64_17131` `flip-+_binary64_17102` `associate-+r+_binary64_17060` `associate-l_binary64_17069`
5×	`sum-log_binary64_17219`
4×	`frac-add_binary64_17136` `associate-+l+_binary64_17061` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
3×	`cancel-sign-sub-inv_binary64_17094`
2×	`diff-log_binary64_17220` `flip3--_binary64_17132` `flip--_binary64_17103` `+-commutative_binary64_17058` `unpow3_binary64_17194` `*-commutative_binary64_17059`
1×	`associate-+r-_binary64_17062` `sub-neg_binary64_17121` `unswap-sqr_binary64_17096` `distribute-rgt1-in_binary64_17084` `distribute-rgt-out_binary64_17081` `distribute-lft-out_binary64_17079`

Counts

4 → 88

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (.f64 y (+.f64 x y))) (-.f64 y (+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))))
9.0ms	(*.f64 x (+.f64 y (pow.f64 y 3)))
8.0ms	(.f64 y (.f64 y (+.f64 x y)))
4.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))

Compiler

Compiled 3144 to 1346 computations (57.2% saved)

series700.0ms (9.3%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

284.0ms	(+.f64 (.f64 y (.f64 y (+.f64 x y))) (-.f64 y (+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))))
161.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 y (pow.f64 y 3))))
111.0ms	(*.f64 x (+.f64 y (pow.f64 y 3)))
99.0ms	(.f64 y (.f64 y (+.f64 x y)))

Compiler

Compiled 2756 to 1760 computations (36.1% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4993	2679
1	4993	2679

prune148.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	139	5	144

Error

0.0b

Counts

144 → 5

Compiler

Compiled 3807 to 1696 computations (55.5% saved)

regimes823.0ms (10.9%)

Accuracy

Total 0.0b remaining (45.9%)

Threshold costs 0.0b (45.9%)

Compiler

Compiled 7021 to 5556 computations (20.9% saved)

bsearch41.0ms (0.5%)

Steps

Iters	Range		Point
9	41.93159352329411	140150106.797202	13181.931231435483
8	-508205.4964297618	-1655.8660680230157	-10373.644158905001

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	147	85
1	147	85

end0.0ms (0%)

sample1.7s (22.7%)

Algorithm

1×

intervals

Results

205.0ms	6275×	body	128	valid
79.0ms	616×	body	1024	valid
57.0ms	664×	body	512	valid
26.0ms	438×	body	256	valid
1.0ms	7×	body	2048	valid

Compiler

Compiled 1296 to 1002 computations (22.7% saved)

Details

analyze82.0ms (1.1%)

sample20.0ms (0.3%)

simplify284.0ms (3.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite96.0ms (1.3%)

series288.0ms (3.8%)

simplify65.0ms (0.9%)

prune83.0ms (1.1%)

localize7.0ms (0.1%)

rewrite139.0ms (1.9%)

series301.0ms (4%)

simplify77.0ms (1%)

prune139.0ms (1.8%)

localize18.0ms (0.2%)

rewrite909.0ms (12.1%)

series649.0ms (8.6%)

simplify130.0ms (1.7%)

prune559.0ms (7.4%)

localize15.0ms (0.2%)

rewrite154.0ms (2%)

series700.0ms (9.3%)

simplify80.0ms (1.1%)

prune148.0ms (2%)

regimes823.0ms (10.9%)

bsearch41.0ms (0.5%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (22.7%)

Profiling