Details

analyze312.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	20
1	418	20
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
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite82.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
5×	`add-cube-cbrt_binary64_6592`
4×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498`
3×	`associate-r_binary64_6497` `cancel-sign-sub-inv_binary64_6523`
2×	`associate-*l/_binary64_6500`
1×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `flip3-+_binary64_6560` `flip-+_binary64_6531` `distribute-lft-out_binary64_6508` `*-commutative_binary64_6488` `diff-log_binary64_6649` `flip3--_binary64_6561` `sub-neg_binary64_6550` `flip--_binary64_6532`

Counts

2 → 35

Calls

2 calls:

12.0ms	(*.f64 (+.f64 x 1) y)
12.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

Compiler

Compiled 493 to 319 computations (35.3% saved)

series255.0ms (6.4%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

134.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
96.0ms	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify159.0ms (4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4937	541
1	4937	541

prune62.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 572 to 192 computations (66.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_6596`
5×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
3×	`add-cube-cbrt_binary64_6592` `cancel-sign-sub-inv_binary64_6523`
2×	`sum-log_binary64_6648` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `diff-log_binary64_6649`
1×	`flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487` `flip3--_binary64_6561` `sub-neg_binary64_6550` `flip--_binary64_6532` `difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509` `associate--l+_binary64_6494`

Counts

2 → 29

Calls

2 calls:

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

Compiler

Compiled 420 to 107 computations (74.5% saved)

series236.0ms (6%)

Error

Counts

2 → 21

Calls

2 calls:

135.0ms	(-.f64 (+.f64 y (*.f64 y x)) x)
87.0ms	(+.f64 y (*.f64 y x))

Compiler

Compiled 330 to 200 computations (39.4% saved)

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5047	529

prune57.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Compiler

Compiled 498 to 262 computations (47.4% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1)) x)
4.7b	(.f64 y (+.f64 -1 (.f64 x x)))
10.1b	(/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1))

rewrite176.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_6579`
16×	`*-un-lft-identity_binary64_6557`
10×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
8×	`add-cube-cbrt_binary64_6592`
7×	`times-frac_binary64_6563` `associate-/r*_binary64_6501`
5×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `difference-of-squares_binary64_6526`
4×	`associate-*r/_binary64_6499`
3×	`distribute-lft-out--_binary64_6509` `associate-l_binary64_6498` `associate-r_binary64_6497` `cancel-sign-sub-inv_binary64_6523`
2×	`prod-exp_binary64_6606` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `cbrt-unprod_binary64_6590` `difference-of-sqr-1_binary64_6527` `flip3-+_binary64_6560` `associate-/l/_binary64_6504` `flip-+_binary64_6531` `flip3--_binary64_6561` `associate-/r/_binary64_6503` `flip--_binary64_6532`
1×	`frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554` `associate-/l_binary64_6502` `pow-prod-down_binary64_6628` `unswap-sqr_binary64_6525` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506` `-commutative_binary64_6488` `diff-log_binary64_6649` `sub-neg_binary64_6550`

Counts

3 → 71

Calls

3 calls:

21.0ms	(-.f64 (/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1)) x)
15.0ms	(/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1))
10.0ms	(.f64 y (+.f64 -1 (.f64 x x)))

Compiler

Compiled 1562 to 900 computations (42.4% saved)

series784.0ms (19.8%)

Error

Counts

3 → 30

Calls

3 calls:

369.0ms	(-.f64 (/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1)) x)
220.0ms	(/.f64 (.f64 y (+.f64 -1 (.f64 x x))) (-.f64 x 1))
163.0ms	(.f64 y (+.f64 -1 (.f64 x x)))

Compiler

Compiled 814 to 585 computations (28.1% saved)

simplify124.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4984	1307
1	4984	1307

prune134.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Error

Counts

103 → 2

Compiler

Compiled 1470 to 855 computations (41.8% saved)

regimes147.0ms (3.7%)

Accuracy

Total 0.0b remaining (71.9%)

Threshold costs 0.0b (71.9%)

Compiler

Compiled 477 to 395 computations (17.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample1.2s (29.3%)

Algorithm

1×

intervals

Results

334.0ms	7996×	body	128	valid
3.0ms	76×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 168 to 139 computations (17.3% saved)

Details

analyze312.0ms (7.9%)

sample25.0ms (0.6%)

simplify40.0ms (1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite82.0ms (2.1%)

series255.0ms (6.4%)

simplify159.0ms (4%)

prune62.0ms (1.6%)

localize9.0ms (0.2%)

rewrite49.0ms (1.2%)

series236.0ms (6%)

simplify114.0ms (2.9%)

prune57.0ms (1.4%)

localize16.0ms (0.4%)

rewrite176.0ms (4.5%)

series784.0ms (19.8%)

simplify124.0ms (3.1%)

prune134.0ms (3.4%)

regimes147.0ms (3.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29.3%)

Profiling