Details

analyze344.0ms (9%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	235×	body	128	valid
1.0ms	7×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	7×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify183.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune5.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 40 to 32 computations (20% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x y) y) x)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
0.0b	(+.f64 (+.f64 x y) y)

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_3175` `add-log-exp_binary64_3214`
24×	`distribute-lft-out_binary64_3126` `sum-log_binary64_3266`
3×	`flip-+_binary64_3149` `associate-+l+_binary64_3108` `add-cbrt-cube_binary64_3211` `flip3-+_binary64_3178` `add-cube-cbrt_binary64_3210` `+-commutative_binary64_3105` `add-sqr-sqrt_binary64_3197` `add-exp-log_binary64_3213` `pow1_binary64_3236`

Counts

3 → 53

Calls

3 calls:

20.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
11.0ms	(+.f64 (+.f64 (+.f64 x y) y) x)
7.0ms	(+.f64 (+.f64 x y) y)

series127.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(+.f64 (+.f64 (+.f64 x y) y) x)
43.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
36.0ms	(+.f64 (+.f64 x y) y)

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4892	754
1	4892	754

prune91.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

Compiler

Compiled 1517 to 807 computations (46.8% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x y) y) x)
0.0b	(+.f64 (+.f64 x y) y)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) (+.f64 x z))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3175` `add-log-exp_binary64_3214`
33×	`distribute-lft-out_binary64_3126` `sum-log_binary64_3266`
7×	`flip-+_binary64_3149` `flip3-+_binary64_3178`
4×	`frac-add_binary64_3183`
3×	`associate-+l+_binary64_3108` `add-cbrt-cube_binary64_3211` `add-cube-cbrt_binary64_3210` `+-commutative_binary64_3105` `add-sqr-sqrt_binary64_3197` `add-exp-log_binary64_3213` `pow1_binary64_3236`
1×	`associate-+r+_binary64_3107`

Counts

3 → 64

Calls

3 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) (+.f64 x z))
10.0ms	(+.f64 (+.f64 (+.f64 x y) y) x)
7.0ms	(+.f64 (+.f64 x y) y)

series122.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(+.f64 (+.f64 (+.f64 x y) y) x)
42.0ms	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) (+.f64 x z))
37.0ms	(+.f64 (+.f64 x y) y)

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5148	1135

prune125.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

Compiler

Compiled 2094 to 1125 computations (46.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 (+.f64 x y) 2))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3214`
1×	`*-un-lft-identity_binary64_3175` `flip-+_binary64_3149` `add-cbrt-cube_binary64_3211` `flip3-+_binary64_3178` `add-cube-cbrt_binary64_3210` `+-commutative_binary64_3105` `add-sqr-sqrt_binary64_3197` `add-exp-log_binary64_3213` `pow1_binary64_3236` `sum-log_binary64_3266`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 x (*.f64 (+.f64 x y) 2))

series46.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

46.0ms

(+.f64 x (*.f64 (+.f64 x y) 2))

simplify127.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4913	205
1	4913	205

prune52.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	15	6	21

Merged error: 0.0b

Counts

21 → 6

Compiler

Compiled 714 to 471 computations (34% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3206`
23×	`add-sqr-sqrt_binary64_3197`
18×	`cbrt-div_binary64_3207`
15×	`*-un-lft-identity_binary64_3175` `add-cube-cbrt_binary64_3210`
11×	`pow1_binary64_3236`
9×	`flip-+_binary64_3149` `flip3-+_binary64_3178` `pow1/3_binary64_3257`
6×	`swap-sqr_binary64_3142` `associate-l_binary64_3116` `add-exp-log_binary64_3213` `associate-r_binary64_3115`
4×	`frac-times_binary64_3185` `add-cbrt-cube_binary64_3211` `unswap-sqr_binary64_3143` `add-log-exp_binary64_3214`
2×	`associate-r/_binary64_3117` `pow-prod-down_binary64_3246` `pow-sqr_binary64_3148` `associate-l/_binary64_3118` `pow-prod-up_binary64_3245`
1×	`pow-plus_binary64_3238` `prod-exp_binary64_3224` `*-commutative_binary64_3106` `cbrt-unprod_binary64_3208` `pow2_binary64_3256`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (32%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
295.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
292.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
279.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify147.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4848	2249
1	4848	2249

prune200.0ms (5.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

Compiler

Compiled 3889 to 2323 computations (40.3% saved)

regimes59.0ms (1.5%)

Compiler: Compiled 447 to 339 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample646.0ms (17%)

Algorithm

1×

intervals

Results

224.0ms	7448×	body	128	valid
21.0ms	205×	body	1024	valid
13.0ms	168×	body	512	valid
9.0ms	77×	body	2048	valid
5.0ms	102×	body	256	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 168 to 127 computations (24.4% saved)

Details

analyze344.0ms (9%)

sample17.0ms (0.4%)

simplify183.0ms (4.8%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite42.0ms (1.1%)

series127.0ms (3.3%)

simplify84.0ms (2.2%)

prune91.0ms (2.4%)

localize10.0ms (0.3%)

rewrite41.0ms (1.1%)

series122.0ms (3.2%)

simplify52.0ms (1.4%)

prune125.0ms (3.3%)

localize7.0ms (0.2%)

rewrite5.0ms (0.1%)

series46.0ms (1.2%)

simplify127.0ms (3.3%)

prune52.0ms (1.4%)

localize12.0ms (0.3%)

rewrite33.0ms (0.9%)

series1.2s (32%)

simplify147.0ms (3.9%)

prune200.0ms (5.3%)

regimes59.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample646.0ms (17%)

Profiling