Details

analyze214.0ms (8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	13	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14
97.8%	2.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample81.0ms (3%)

Algorithm

2×

intervals

Results

11.0ms

512×

body

128

valid

Compiler

Compiled 2071 to 2328 computations (-12.4% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

prune2.0ms (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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite52.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_7580`
16×	`times-frac_binary64_7586`
11×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602`
10×	`distribute-lft-out_binary64_7531`
4×	`associate-/l_binary64_7525` `associate-/r_binary64_7524`
3×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
2×	`flip3-+_binary64_7583` `associate-/l/_binary64_7527` `flip-+_binary64_7554` `associate-/r/_binary64_7526`
1×	`pow1_binary64_7641` `div-exp_binary64_7631` `add-log-exp_binary64_7619` `cbrt-undiv_binary64_7614` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `div-inv_binary64_7577`

Counts

1 → 40

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 618 to 329 computations (46.8% saved)

series141.0ms (5.3%)

Error

Counts

1 → 18

Calls

1 calls:

123.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 489 to 360 computations (26.4% saved)

simplify72.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	978
1	4948	978

prune51.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 800 to 416 computations (48% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(/.f64 x (+.f64 y 1))

rewrite74.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_7580`
24×	`times-frac_binary64_7586`
20×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602`
8×	`distribute-lft-out_binary64_7531` `associate-/r*_binary64_7524`
6×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `associate-/l*_binary64_7525`
4×	`associate-/r/_binary64_7526`
2×	`pow1_binary64_7641` `div-exp_binary64_7631` `add-log-exp_binary64_7619` `cbrt-undiv_binary64_7614` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `div-inv_binary64_7577` `flip3-+_binary64_7583` `flip-+_binary64_7554`

Counts

2 → 66

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 y 1))
5.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1204 to 792 computations (34.2% saved)

series157.0ms (5.9%)

Error

Counts

2 → 23

Calls

2 calls:

98.0ms	(/.f64 x (+.f64 y 1))
40.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 739 to 536 computations (27.5% saved)

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4952	1061
1	4952	1061

prune82.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1426 to 883 computations (38.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite86.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-log-exp_binary64_7619`
7×	`add-sqr-sqrt_binary64_7602`
6×	`sub-neg_binary64_7573` `distribute-rgt-in_binary64_7530` `cancel-sign-sub-inv_binary64_7546` `associate--l+_binary64_7517` `distribute-lft-in_binary64_7529` `associate-*r/_binary64_7522` `associate--r+_binary64_7516`
5×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580` `flip3--_binary64_7584` `flip--_binary64_7555`
4×	`diff-log_binary64_7672` `frac-sub_binary64_7589`
3×	`associate-l_binary64_7521` `associate-r_binary64_7520`
2×	`sum-log_binary64_7671` `flip3-+_binary64_7583` `flip-+_binary64_7554`
1×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `*-commutative_binary64_7511`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 y (-.f64 (+.f64 y x) (.f64 y x)))
8.0ms	(-.f64 (+.f64 y x) (.f64 y (-.f64 (+.f64 y x) (.f64 y x))))
6.0ms	(-.f64 (+.f64 y x) (*.f64 y x))

Compiler

Compiled 1562 to 268 computations (82.8% saved)

series557.0ms (20.8%)

Error

Counts

3 → 39

Calls

3 calls:

257.0ms	(-.f64 (+.f64 y x) (.f64 y (-.f64 (+.f64 y x) (.f64 y x))))
156.0ms	(.f64 y (-.f64 (+.f64 y x) (.f64 y x)))
118.0ms	(-.f64 (+.f64 y x) (*.f64 y x))

Compiler

Compiled 1248 to 746 computations (40.2% saved)

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5018	1882

prune78.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Error

Counts

105 → 2

Compiler

Compiled 1838 to 359 computations (80.5% saved)

regimes140.0ms (5.2%)

Accuracy

Total 0.0b remaining (90.5%)

Threshold costs 0.0b (90.5%)

Compiler

Compiled 982 to 719 computations (26.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample719.0ms (26.9%)

Algorithm

1×

intervals

Results

177.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 325 to 239 computations (26.5% saved)

Details

analyze214.0ms (8%)

sample81.0ms (3%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite52.0ms (1.9%)

series141.0ms (5.3%)

simplify72.0ms (2.7%)

prune51.0ms (1.9%)

localize6.0ms (0.2%)

rewrite74.0ms (2.8%)

series157.0ms (5.9%)

simplify75.0ms (2.8%)

prune82.0ms (3.1%)

localize7.0ms (0.3%)

rewrite86.0ms (3.2%)

series557.0ms (20.8%)

simplify66.0ms (2.5%)

prune78.0ms (2.9%)

regimes140.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (26.9%)

Profiling