Details

analyze104.0ms (0.7%)

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
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample15.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune3.0ms (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

Merged error: 6.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
5.6b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
13×	`add-sqr-sqrt_binary64_14763`
12×	`flip--_binary64_14716` `flip3--_binary64_14745`
11×	`*-un-lft-identity_binary64_14741`
8×	`frac-times_binary64_14751` `associate-/l/_binary64_14688`
6×	`cancel-sign-sub-inv_binary64_14707` `associate-l_binary64_14682` `add-cube-cbrt_binary64_14776`
5×	`cbrt-unprod_binary64_14774` `prod-exp_binary64_14790` `associate-r_binary64_14681`
4×	`cbrt-undiv_binary64_14775` `distribute-lft-in_binary64_14690` `associate-r/_binary64_14683` `div-exp_binary64_14792` `associate-l/_binary64_14684` `pow1_binary64_14802` `distribute-rgt-in_binary64_14691`
3×	`difference-of-squares_binary64_14710`
2×	`distribute-lft-out--_binary64_14693` `add-log-exp_binary64_14780` `sub-neg_binary64_14734`
1×	`associate-/r_binary64_14685` `times-frac_binary64_14747` `unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `pow-prod-down_binary64_14812` `associate-/l_binary64_14686` `*-commutative_binary64_14672` `clear-num_binary64_14740`

Counts

2 → 68

Calls

2 calls:

12.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
10.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

series166.0ms (1.1%)

Counts

2 → 17

Calls

2 calls:

131.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
35.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 332 to 305 computations (8.1% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4941	1296
1	4941	1296

prune91.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

Compiler

Compiled 1440 to 1043 computations (27.6% saved)

localize216.0ms (1.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))

rewrite136.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

1218×	`times-frac_binary64_14747`
808×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
461×	`add-cube-cbrt_binary64_14776`
205×	`difference-of-squares_binary64_14710`
142×	`distribute-lft-out--_binary64_14693`
84×	`associate-/r*_binary64_14685`
35×	`div-inv_binary64_14738`
19×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
14×	`associate-/l*_binary64_14686`
10×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
9×	`associate-/r/_binary64_14687`
4×	`associate-/l/_binary64_14688`
3×	`frac-2neg_binary64_14752` `add-log-exp_binary64_14780` `clear-num_binary64_14740` `pow1_binary64_14802`
2×	`div-sub_binary64_14746` `flip--_binary64_14716` `flip3--_binary64_14745`

Counts

3 → 592

Calls

3 calls:

25.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

series239.0ms (1.5%)

Counts

3 → 26

Calls

3 calls:

133.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
72.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
34.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 515 to 454 computations (11.8% saved)

simplify197.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

618 → 618

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5042	20163

prune1.2s (7.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	616	2	618
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	618	5	623

Merged error: 0b

Counts

623 → 5

Compiler

Compiled 15059 to 10598 computations (29.6% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.3b	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
0.3b	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_14763`
52×	`*-un-lft-identity_binary64_14741`
40×	`times-frac_binary64_14747`
29×	`add-cube-cbrt_binary64_14776`
22×	`associate-l_binary64_14682`
19×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
15×	`difference-of-squares_binary64_14710`
8×	`distribute-lft-out--_binary64_14693`
7×	`associate-/l/_binary64_14688` `associate-/l*_binary64_14686`
6×	`associate-/r*_binary64_14685` `cbrt-undiv_binary64_14775` `cancel-sign-sub-inv_binary64_14707` `div-exp_binary64_14792`
5×	`flip--_binary64_14716` `associate-r_binary64_14681` `flip3--_binary64_14745` `pow1_binary64_14802`
4×	`frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `prod-exp_binary64_14790` `distribute-rgt-in_binary64_14691`
3×	`div-inv_binary64_14738` `add-log-exp_binary64_14780`
2×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `sub-neg_binary64_14734` `associate-*l/_binary64_14684` `clear-num_binary64_14740`
1×	`div-sub_binary64_14746` `pow-prod-down_binary64_14812` `*-commutative_binary64_14672`

Counts

3 → 125

Calls

3 calls:

13.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
12.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
7.0ms	(/.f64 (-.f64 1 x) y)

series329.0ms (2.1%)

Counts

3 → 29

Calls

3 calls:

137.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
118.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
73.0ms	(/.f64 (-.f64 1 x) y)

Compiler

Compiled 621 to 557 computations (10.3% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5142	2330

prune140.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	154	5	159

Merged error: 0b

Counts

159 → 5

Compiler

Compiled 2592 to 1812 computations (30.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 3 x) (cbrt.f64 3))
0.1b	(/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))
0.2b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3))))
0.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))))

rewrite657.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

4072×	`times-frac_binary64_14747`
2689×	`add-sqr-sqrt_binary64_14763`
2642×	`*-un-lft-identity_binary64_14741`
1462×	`add-cube-cbrt_binary64_14776`
695×	`difference-of-squares_binary64_14710`
666×	`cbrt-prod_binary64_14772`
647×	`associate-r_binary64_14681`
480×	`distribute-lft-out--_binary64_14693`
147×	`associate-/r*_binary64_14685`
138×	`add-exp-log_binary64_14779`
68×	`div-exp_binary64_14792`
61×	`div-inv_binary64_14738`
60×	`add-cbrt-cube_binary64_14777`
40×	`prod-exp_binary64_14790`
36×	`cbrt-undiv_binary64_14775`
16×	`cbrt-unprod_binary64_14774` `associate-/r/_binary64_14687`
15×	`unswap-sqr_binary64_14709`
14×	`associate-/l*_binary64_14686`
8×	`1-exp_binary64_14785` `rec-exp_binary64_14791`
7×	`associate-l_binary64_14682`
6×	`pow1_binary64_14802`
4×	`add-log-exp_binary64_14780` `associate-/l/_binary64_14688`
3×	`frac-2neg_binary64_14752` `clear-num_binary64_14740`
2×	`div-sub_binary64_14746` `flip--_binary64_14716` `flip3--_binary64_14745`
1×	`frac-times_binary64_14751` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `associate-l/_binary64_14684` `*-commutative_binary64_14672`

Counts

4 → 1706

Calls

4 calls:

211.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))))
38.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3))))
11.0ms	(/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))
8.0ms	(/.f64 (-.f64 3 x) (cbrt.f64 3))

series675.0ms (4.3%)

Counts

4 → 36

Calls

4 calls:

296.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))))
199.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3))))
106.0ms	(/.f64 y (/.f64 (-.f64 3 x) (cbrt.f64 3)))
73.0ms	(/.f64 (-.f64 3 x) (cbrt.f64 3))

Compiler

Compiled 1353 to 1270 computations (6.1% saved)

simplify551.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1742 → 1742

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5143	65204

prune9.2s (58.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1742	0	1742
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1742	5	1747

Merged error: 0b

Counts

1747 → 5

Compiler

Compiled 62426 to 49024 computations (21.5% saved)

regimes346.0ms (2.2%)

Compiler: Compiled 3544 to 3099 computations (12.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample1.1s (6.9%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
10.0ms	329×	body	128	invalid

Compiler

Compiled 691 to 604 computations (12.6% saved)

Details

analyze104.0ms (0.7%)

sample15.0ms (0.1%)

simplify163.0ms (1%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite28.0ms (0.2%)

series166.0ms (1.1%)

simplify75.0ms (0.5%)

prune91.0ms (0.6%)

localize216.0ms (1.4%)

rewrite136.0ms (0.9%)

series239.0ms (1.5%)

simplify197.0ms (1.2%)

prune1.2s (7.5%)

localize7.0ms (0%)

rewrite43.0ms (0.3%)

series329.0ms (2.1%)

simplify72.0ms (0.5%)

prune140.0ms (0.9%)

localize13.0ms (0.1%)

rewrite657.0ms (4.2%)

series675.0ms (4.3%)

simplify551.0ms (3.5%)

prune9.2s (58.5%)

regimes346.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (6.9%)

Profiling