Details

analyze412.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5216	32
0	2	2
1	2	2

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)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	211×	body	128	valid
2.0ms	21×	body	512	valid
1.0ms	14×	body	1024	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify188.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

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

20.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
1.3b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite130.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

21×	`*-un-lft-identity_binary64_16446`
17×	`add-sqr-sqrt_binary64_16468`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `cancel-sign-sub-inv_binary64_16412`
9×	`add-cube-cbrt_binary64_16481`
8×	`times-frac_binary64_16452`
6×	`associate-l_binary64_16387`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485`
4×	`associate-l/_binary64_16389` `associate-/r/_binary64_16392` `associate-/r_binary64_16390` `difference-of-squares_binary64_16415`
3×	`distribute-lft-out_binary64_16397` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-r_binary64_16386`
2×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479` `div-inv_binary64_16443` `associate-/l/_binary64_16393` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out--_binary64_16398`
1×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l_binary64_16391` `diff-log_binary64_16538` `sub-neg_binary64_16439` `pow-prod-down_binary64_16517` `unswap-sqr_binary64_16414` `-commutative_binary64_16377`

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)

Compiler

Compiled 1435 to 1072 computations (25.3% saved)

series342.0ms (6.1%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

127.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
121.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
52.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1482 to 1094 computations (26.2% saved)

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5272	1940

prune105.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 1889 to 1134 computations (40% saved)

localize6.0ms (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))
1.3b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite128.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_16446`
33×	`add-sqr-sqrt_binary64_16468`
25×	`add-cube-cbrt_binary64_16481` `times-frac_binary64_16452`
18×	`associate-l_binary64_16387`
13×	`cancel-sign-sub-inv_binary64_16412`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
8×	`distribute-rgt-in_binary64_16396` `associate--r+_binary64_16382` `distribute-lft-in_binary64_16395`
7×	`distribute-lft-out_binary64_16397`
6×	`associate-r_binary64_16386`
5×	`add-log-exp_binary64_16485` `pow1_binary64_16507` `sub-neg_binary64_16439`
4×	`associate-/r/_binary64_16392` `associate-/r*_binary64_16390`
3×	`flip3--_binary64_16450` `flip--_binary64_16421` `associate-/l*_binary64_16391`
2×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `frac-times_binary64_16456` `unswap-sqr_binary64_16414` `associate-*r/_binary64_16388` `div-inv_binary64_16443` `flip3-+_binary64_16449` `flip-+_binary64_16420` `difference-of-squares_binary64_16415`
1×	`diff-log_binary64_16538` `pow-prod-down_binary64_16517` `associate-l/_binary64_16389` `distribute-lft-out--_binary64_16398` `-commutative_binary64_16377` `frac-2neg_binary64_16457` `clear-num_binary64_16445`

Counts

3 → 105

Calls

3 calls:

13.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
5.0ms	(/.f64 y (+.f64 y 1))
4.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 2095 to 1479 computations (29.4% saved)

series309.0ms (5.6%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

134.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
108.0ms	(*.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)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	2490
1	4963	2490

prune142.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	153	3	156

Error

0.0b

Counts

156 → 3

Compiler

Compiled 2596 to 1744 computations (32.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (.f64 y (-.f64 (.f64 y x) (+.f64 x y))))
0.0b	(-.f64 (*.f64 y x) (+.f64 x y))
0.0b	(.f64 y (-.f64 (.f64 y x) (+.f64 x y)))

rewrite80.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`*-un-lft-identity_binary64_16446` `cancel-sign-sub-inv_binary64_16412`
12×	`add-sqr-sqrt_binary64_16468`
10×	`add-log-exp_binary64_16485` `add-cube-cbrt_binary64_16481` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `associate-+r+_binary64_16378`
5×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `sub-neg_binary64_16439` `distribute-lft-out_binary64_16397`
3×	`associate-l_binary64_16387` `associate-r_binary64_16386`
2×	`flip3--_binary64_16450` `associate-*r/_binary64_16388` `flip--_binary64_16421` `sum-log_binary64_16537` `diff-log_binary64_16538`
1×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `*-commutative_binary64_16377` `associate--r+_binary64_16382` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376`

Counts

3 → 68

Calls

3 calls:

10.0ms	(.f64 y (-.f64 (.f64 y x) (+.f64 x y)))
6.0ms	(-.f64 (*.f64 y x) (+.f64 x y))
6.0ms	(+.f64 y (.f64 y (-.f64 (.f64 y x) (+.f64 x y))))

Compiler

Compiled 1492 to 413 computations (72.3% saved)

series380.0ms (6.8%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

140.0ms	(+.f64 y (.f64 y (-.f64 (.f64 y x) (+.f64 x y))))
132.0ms	(.f64 y (-.f64 (.f64 y x) (+.f64 x y)))
84.0ms	(-.f64 (*.f64 y x) (+.f64 x y))

Compiler

Compiled 1214 to 856 computations (29.5% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4934	1462
1	4934	1462

prune68.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

0.0b

Counts

107 → 3

Compiler

Compiled 1750 to 492 computations (71.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (*.f64 y y))
2.2b	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
6.2b	(/.f64 x (*.f64 y y))
7.7b	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))

rewrite186.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`*-un-lft-identity_binary64_16446`
27×	`add-log-exp_binary64_16485` `distribute-lft-out_binary64_16397`
20×	`add-exp-log_binary64_16484`
14×	`add-cbrt-cube_binary64_16482`
13×	`div-inv_binary64_16443`
12×	`pow1_binary64_16507` `distribute-lft-out--_binary64_16398`
11×	`add-sqr-sqrt_binary64_16468`
10×	`sum-log_binary64_16537`
9×	`add-cube-cbrt_binary64_16481`
8×	`times-frac_binary64_16452`
6×	`diff-log_binary64_16538` `flip3-+_binary64_16449` `frac-sub_binary64_16455` `flip-+_binary64_16420` `cancel-sign-sub-inv_binary64_16412` `div-exp_binary64_16497` `associate-/l*_binary64_16391` `pow-flip_binary64_16520`
4×	`prod-exp_binary64_16495` `cbrt-undiv_binary64_16480`
3×	`frac-add_binary64_16454`
2×	`distribute-rgt-out_binary64_16399` `cbrt-unprod_binary64_16479` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/r*_binary64_16390` `1-exp_binary64_16490` `rec-exp_binary64_16496`
1×	`flip3--_binary64_16450` `sub-neg_binary64_16439` `flip--_binary64_16421` `difference-of-squares_binary64_16415` `associate--l+_binary64_16383` `associate--r+_binary64_16382` `+-commutative_binary64_16376` `inv-pow_binary64_16531` `pow2_binary64_16527` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-plus_binary64_16509` `pow-sqr_binary64_16419`

Counts

4 → 111

Calls

4 calls:

31.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
10.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
5.0ms	(/.f64 1 (*.f64 y y))
5.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3603 to 1529 computations (57.6% saved)

series446.0ms (8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

217.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
104.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
74.0ms	(/.f64 x (*.f64 y y))
21.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 1677 to 1114 computations (33.6% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5108	2791

prune144.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Error

Counts

150 → 4

Compiler

Compiled 3549 to 1644 computations (53.7% saved)

regimes568.0ms (10.2%)

Accuracy

Total 0.0b remaining (17.3%)

Threshold costs 0.0b (17.3%)

Compiler

Compiled 5742 to 4343 computations (24.4% saved)

bsearch41.0ms (0.7%)

Steps

Iters	Range		Point
9	97.7214760772758	7166767549.757621	312914.201477194
11	-1.1697776780026642e+19	-3.940631572579747e-05	-406199.1355664596

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	55
1	49	55

end0.0ms (0%)

sample1.5s (27.5%)

Algorithm

1×

intervals

Results

203.0ms	6321×	body	128	valid
61.0ms	569×	body	1024	valid
55.0ms	683×	body	512	valid
24.0ms	425×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 1175 to 879 computations (25.2% saved)

Details

analyze412.0ms (7.4%)

sample18.0ms (0.3%)

simplify188.0ms (3.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite130.0ms (2.3%)

series342.0ms (6.1%)

simplify72.0ms (1.3%)

prune105.0ms (1.9%)

localize6.0ms (0.1%)

rewrite128.0ms (2.3%)

series309.0ms (5.6%)

simplify79.0ms (1.4%)

prune142.0ms (2.6%)

localize8.0ms (0.1%)

rewrite80.0ms (1.4%)

series380.0ms (6.8%)

simplify79.0ms (1.4%)

prune68.0ms (1.2%)

localize11.0ms (0.2%)

rewrite186.0ms (3.3%)

series446.0ms (8%)

simplify81.0ms (1.5%)

prune144.0ms (2.6%)

regimes568.0ms (10.2%)

bsearch41.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (27.5%)

Profiling