Details

analyze70.0ms (7%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (1.4%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify121.0ms (12%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	564	13
1	564	13

prune4.0ms (0.4%)

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

Counts

2 → 2

Compiler

Compiled 29 to 26 computations (10.3% saved)

localize7.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101`
7×	`associate-r_binary64_1041`
6×	`cancel-sign-sub-inv_binary64_1067`
5×	`add-cube-cbrt_binary64_1136`
4×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
2×	`difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `associate-*r/_binary64_1043`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 y 1))

series20.0ms (2%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 x (-.f64 y 1))

simplify70.0ms (7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5171	300

prune30.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 522 to 356 computations (31.8% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
0.0b	(*.f64 y (+.f64 x -1/2))

rewrite15.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
5×	`add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
3×	`associate-l_binary64_1042` `cancel-sign-sub-inv_binary64_1067`
2×	`distribute-lft-in_binary64_1050` `associate--l+_binary64_1038` `associate-*r/_binary64_1043` `distribute-rgt-in_binary64_1051`
1×	`diff-log_binary64_1193` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

2 → 39

Calls

2 calls:

7.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
6.0ms	(*.f64 y (+.f64 x -1/2))

series37.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 y (+.f64 x -1/2))
16.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

simplify64.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4946	473
1	4946	473

prune34.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 598 to 407 computations (31.9% saved)

regimes39.0ms (3.9%)

Accuracy

Total 0.0b remaining (85.1%)

Threshold costs 0.0b (85.1%)

Compiler

Compiled 124 to 116 computations (6.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	16
1	58	16

end0.0ms (0%)

sample461.0ms (45.8%)

Algorithm

1×

intervals

Results

243.0ms	7997×	body	128	valid
2.0ms	57×	body	128	invalid
0.0ms	2×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 43 to 41 computations (4.7% saved)

Details

analyze70.0ms (7%)

sample14.0ms (1.4%)

simplify121.0ms (12%)

prune4.0ms (0.4%)

localize7.0ms (0.7%)

rewrite11.0ms (1%)

series20.0ms (2%)

simplify70.0ms (7%)

prune30.0ms (3%)

localize6.0ms (0.6%)

rewrite15.0ms (1.5%)

series37.0ms (3.7%)

simplify64.0ms (6.4%)

prune34.0ms (3.4%)

regimes39.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample461.0ms (45.8%)

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