Details

analyze358.0ms (0.4%)

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)

sample67.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify670.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune12.0ms (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: 3.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize26.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
2.8b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite92.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
13×	`add-sqr-sqrt_binary64_17150`
12×	`flip--_binary64_17103` `flip3--_binary64_17132`
11×	`*-un-lft-identity_binary64_17128`
8×	`frac-times_binary64_17138` `associate-/l/_binary64_17075`
6×	`add-cube-cbrt_binary64_17163` `cancel-sign-sub-inv_binary64_17094` `associate-l_binary64_17069`
5×	`associate-r_binary64_17068` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177`
4×	`associate-r/_binary64_17070` `distribute-rgt-in_binary64_17078` `cbrt-undiv_binary64_17162` `associate-l/_binary64_17071` `pow1_binary64_17189` `div-exp_binary64_17179` `distribute-lft-in_binary64_17077`
3×	`difference-of-squares_binary64_17097`
2×	`add-log-exp_binary64_17167` `sub-neg_binary64_17121` `distribute-lft-out--_binary64_17080`
1×	`clear-num_binary64_17127` `associate-/l_binary64_17073` `times-frac_binary64_17134` `frac-2neg_binary64_17139` `unswap-sqr_binary64_17096` `associate-/r_binary64_17072` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199` `div-inv_binary64_17125`

Counts

2 → 68

Calls

2 calls:

41.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
37.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

series120.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
45.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify195.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4943	1186
1	4943	1186

prune1.0s (1.2%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	36	38	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	39	75

Merged error: 0b

Counts

75 → 39

Compiler

Compiled 2055 to 1582 computations (23% saved)

localize40.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite108.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64_17150`
59×	`*-un-lft-identity_binary64_17128`
55×	`times-frac_binary64_17134`
32×	`add-cube-cbrt_binary64_17163`
22×	`associate-l_binary64_17069`
19×	`associate-r_binary64_17068`
17×	`difference-of-squares_binary64_17097`
16×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
10×	`distribute-lft-out--_binary64_17080`
6×	`associate-/l*_binary64_17073`
5×	`cbrt-undiv_binary64_17162` `div-exp_binary64_17179`
4×	`cbrt-unprod_binary64_17161` `pow1_binary64_17189` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096`
3×	`associate-/r*_binary64_17072` `div-inv_binary64_17125`
2×	`add-log-exp_binary64_17167` `associate-/l/_binary64_17075`
1×	`associate-r/_binary64_17070` `clear-num_binary64_17127` `associate-l/_binary64_17071` `flip--_binary64_17103` `frac-2neg_binary64_17139` `frac-times_binary64_17138` `div-sub_binary64_17133` `*-commutative_binary64_17059` `flip3--_binary64_17132` `pow-prod-down_binary64_17199`

Counts

2 → 107

Calls

2 calls:

59.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
19.0ms	(/.f64 (-.f64 1 x) y)

series254.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

160.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
94.0ms	(/.f64 (-.f64 1 x) y)

simplify273.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	4963	1952
1	4963	1952

prune2.7s (3.1%)

Pruning

89 alts after pruning (87 fresh and 2 done)

	Pruned	Kept	Total
New	57	56	113
Fresh	6	31	37
Picked	0	1	1
Done	0	1	1
Total	63	89	152

Merged error: 0b

Counts

152 → 89

Compiler

Compiled 3923 to 3019 computations (23% saved)

localize34.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite262.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_17134`
114×	`*-un-lft-identity_binary64_17128`
105×	`add-sqr-sqrt_binary64_17150`
66×	`add-cube-cbrt_binary64_17163`
54×	`associate-l_binary64_17069`
33×	`distribute-lft-neg-in_binary64_17085` `distribute-rgt-neg-in_binary64_17086`
21×	`distribute-lft-out_binary64_17079` `difference-of-sqr--1_binary64_17099`
19×	`associate-r_binary64_17068`
16×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
11×	`neg-mul-1_binary64_17124`
10×	`associate-/r*_binary64_17072`
5×	`cbrt-undiv_binary64_17162` `associate-/l*_binary64_17073` `div-exp_binary64_17179`
4×	`cbrt-unprod_binary64_17161` `pow1_binary64_17189` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096`
3×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080` `div-inv_binary64_17125`
2×	`add-log-exp_binary64_17167` `associate-/l/_binary64_17075`
1×	`associate-r/_binary64_17070` `clear-num_binary64_17127` `flip-+_binary64_17102` `associate-l/_binary64_17071` `frac-2neg_binary64_17139` `frac-times_binary64_17138` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199` `flip3-+_binary64_17131`

Counts

2 → 176

Calls

2 calls:

180.0ms	(*.f64 (/.f64 (+.f64 x -1) (neg.f64 y)) (/.f64 (-.f64 3 x) 3))
14.0ms	(/.f64 (+.f64 x -1) (neg.f64 y))

series157.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(*.f64 (/.f64 (+.f64 x -1) (neg.f64 y)) (/.f64 (-.f64 3 x) 3))
58.0ms	(/.f64 (+.f64 x -1) (neg.f64 y))

simplify415.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5436	3480

prune5.7s (6.6%)

Pruning

132 alts after pruning (129 fresh and 3 done)

	Pruned	Kept	Total
New	123	59	182
Fresh	16	70	86
Picked	0	1	1
Done	0	2	2
Total	139	132	271

Merged error: 0b

Counts

271 → 132

Compiler

Compiled 6429 to 4742 computations (26.2% saved)

localize32.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite236.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_17150`
50×	`*-un-lft-identity_binary64_17128`
49×	`times-frac_binary64_17134`
30×	`add-cube-cbrt_binary64_17163`
19×	`associate-r_binary64_17068` `associate-l_binary64_17069`
16×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
7×	`distribute-lft-out_binary64_17079` `difference-of-sqr--1_binary64_17099`
5×	`cbrt-undiv_binary64_17162` `associate-/l*_binary64_17073` `div-exp_binary64_17179`
4×	`cbrt-unprod_binary64_17161` `pow1_binary64_17189` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096`
3×	`difference-of-squares_binary64_17097` `associate-/r*_binary64_17072` `distribute-lft-out--_binary64_17080` `div-inv_binary64_17125`
2×	`add-log-exp_binary64_17167` `associate-/l/_binary64_17075`
1×	`associate-r/_binary64_17070` `clear-num_binary64_17127` `flip-+_binary64_17102` `associate-l/_binary64_17071` `frac-2neg_binary64_17139` `frac-times_binary64_17138` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199` `flip3-+_binary64_17131`

Counts

2 → 99

Calls

2 calls:

160.0ms	(*.f64 (/.f64 (-.f64 3 x) 3) (/.f64 (+.f64 x -1) y))
30.0ms	(/.f64 (+.f64 x -1) y)

series220.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

140.0ms	(*.f64 (/.f64 (-.f64 3 x) 3) (/.f64 (+.f64 x -1) y))
80.0ms	(/.f64 (+.f64 x -1) y)

simplify285.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	4955	1820
1	4955	1820

prune3.1s (3.6%)

Pruning

153 alts after pruning (149 fresh and 4 done)

	Pruned	Kept	Total
New	61	44	105
Fresh	23	105	128
Picked	0	1	1
Done	0	3	3
Total	84	153	237

Merged error: 0b

Counts

237 → 153

Compiler

Compiled 2412 to 1876 computations (22.2% saved)

regimes17.5s (20.3%)

Compiler: Compiled 35032 to 29546 computations (15.7% saved)

bsearch15.8s (18.3%)

simplify34.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	184	19
1	184	19

end0.0ms (0%)

sample36.5s (42.3%)

Algorithm

1×

intervals

Results

888.0ms	8000×	body	128	valid
23.0ms	356×	body	128	invalid

Compiler

Compiled 7007 to 5900 computations (15.8% saved)

Pareto

0.08321258240589781

Details

analyze358.0ms (0.4%)

sample67.0ms (0.1%)

simplify670.0ms (0.8%)

prune12.0ms (0%)

localize26.0ms (0%)

rewrite92.0ms (0.1%)

series120.0ms (0.1%)

simplify195.0ms (0.2%)

prune1.0s (1.2%)

localize40.0ms (0%)

rewrite108.0ms (0.1%)

series254.0ms (0.3%)

simplify273.0ms (0.3%)

prune2.7s (3.1%)

localize34.0ms (0%)

rewrite262.0ms (0.3%)

series157.0ms (0.2%)

simplify415.0ms (0.5%)

prune5.7s (6.6%)

localize32.0ms (0%)

rewrite236.0ms (0.3%)

series220.0ms (0.3%)

simplify285.0ms (0.3%)

prune3.1s (3.6%)

regimes17.5s (20.3%)

bsearch15.8s (18.3%)

simplify34.0ms (0%)

end0.0ms (0%)

sample36.5s (42.3%)

Profiling