Details

analyze406.0ms (4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14
72.6%	5.4%	22%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample261.0ms (2.6%)

Algorithm

2×

intervals

Results

15.0ms	512×	body	128	valid
6.0ms	181×	body	128	invalid

Compiler

Compiled 4067 to 4404 computations (-8.3% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

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

Error

5.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
5.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite123.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
13×	`add-sqr-sqrt_binary64_18514`
12×	`flip3--_binary64_18496` `flip--_binary64_18467`
11×	`*-un-lft-identity_binary64_18492`
8×	`frac-times_binary64_18502` `associate-/l/_binary64_18439`
6×	`add-cube-cbrt_binary64_18527` `cancel-sign-sub-inv_binary64_18458` `associate-l_binary64_18433`
5×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-r_binary64_18432`
4×	`pow1_binary64_18553` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`difference-of-squares_binary64_18461`
2×	`add-log-exp_binary64_18531` `sub-neg_binary64_18485` `distribute-lft-out--_binary64_18444`
1×	`frac-2neg_binary64_18503` `times-frac_binary64_18498` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/l_binary64_18437` `associate-/r_binary64_18436` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423`

Counts

2 → 68

Calls

2 calls:

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

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series372.0ms (3.6%)

Error

4.9b

Counts

2 → 21

Calls

2 calls:

263.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
87.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune104.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1471 to 1077 computations (26.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite228.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`add-sqr-sqrt_binary64_18514`
78×	`*-un-lft-identity_binary64_18492`
70×	`times-frac_binary64_18498`
43×	`add-cube-cbrt_binary64_18527`
22×	`associate-l_binary64_18433`
21×	`difference-of-squares_binary64_18461`
19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `associate-r_binary64_18432`
14×	`distribute-lft-out--_binary64_18444`
11×	`associate-/l*_binary64_18437`
6×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-/r*_binary64_18436`
5×	`pow1_binary64_18553`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460` `div-inv_binary64_18489` `associate-/l/_binary64_18439`
3×	`add-log-exp_binary64_18531`
2×	`frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491` `flip3--_binary64_18496` `flip--_binary64_18467`
1×	`pow-prod-down_binary64_18563` `frac-times_binary64_18502` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `*-commutative_binary64_18423`

Counts

3 → 145

Calls

3 calls:

23.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 2857 to 2101 computations (26.5% saved)

series410.0ms (4%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

230.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
109.0ms	(/.f64 (-.f64 1 x) y)
48.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 807 to 657 computations (18.6% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5283	2657

prune200.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	172	5	177

Error

Counts

177 → 5

Compiler

Compiled 2957 to 2135 computations (27.8% saved)

localize7.0ms (0.1%)

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)))

rewrite1.7s (16.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1218×	`times-frac_binary64_18498`
808×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
461×	`add-cube-cbrt_binary64_18527`
205×	`difference-of-squares_binary64_18461`
142×	`distribute-lft-out--_binary64_18444`
84×	`associate-/r*_binary64_18436`
35×	`div-inv_binary64_18489`
19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
14×	`associate-/l*_binary64_18437`
10×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
9×	`associate-/r/_binary64_18438`
4×	`associate-/l/_binary64_18439`
3×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`div-sub_binary64_18497` `flip3--_binary64_18496` `flip--_binary64_18467`

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)

Compiler

Compiled 15998 to 11611 computations (27.4% saved)

series451.0ms (4.4%)

Error

Counts

3 → 33

Calls

3 calls:

245.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
137.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
39.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 1094 to 862 computations (21.2% saved)

simplify189.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5112	20379

prune1.3s (13.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	625	0	625
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	625	5	630

Error

Counts

630 → 5

Compiler

Compiled 15173 to 10643 computations (29.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 3 x) (-.f64 1 x))
0.1b	(/.f64 1 (/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)))
0.2b	(/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
4.8b	(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)

rewrite490.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_18498`
116×	`add-sqr-sqrt_binary64_18514`
114×	`*-un-lft-identity_binary64_18492`
109×	`add-cube-cbrt_binary64_18527`
54×	`add-exp-log_binary64_18530`
36×	`associate-/r*_binary64_18436`
34×	`add-cbrt-cube_binary64_18528`
30×	`div-exp_binary64_18543`
23×	`div-inv_binary64_18489`
16×	`cbrt-undiv_binary64_18526`
12×	`flip3--_binary64_18496` `flip--_binary64_18467`
8×	`frac-times_binary64_18502` `associate-/l/_binary64_18439`
7×	`pow1_binary64_18553` `associate-/l*_binary64_18437`
6×	`prod-exp_binary64_18541` `associate-/r/_binary64_18438` `cancel-sign-sub-inv_binary64_18458` `associate-r_binary64_18432`
5×	`associate-l_binary64_18433`
4×	`add-log-exp_binary64_18531` `cbrt-unprod_binary64_18525` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `1-exp_binary64_18536` `rec-exp_binary64_18542` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `difference-of-squares_binary64_18461`
2×	`sub-neg_binary64_18485` `distribute-lft-out--_binary64_18444`
1×	`inv-pow_binary64_18577` `pow-flip_binary64_18566` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423`

Counts

4 → 252

Calls

4 calls:

15.0ms	(/.f64 1 (/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)))
11.0ms	(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
11.0ms	(*.f64 (-.f64 3 x) (-.f64 1 x))
9.0ms	(/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))

Compiler

Compiled 6174 to 4821 computations (21.9% saved)

series1.0s (9.8%)

Error

Counts

4 → 48

Calls

4 calls:

401.0ms	(/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y))
269.0ms	(/.f64 1 (/.f64 3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)))
213.0ms	(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)
81.0ms	(*.f64 (-.f64 3 x) (-.f64 1 x))

Compiler

Compiled 1670 to 1391 computations (16.7% saved)

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4928	6570
1	4928	6570

prune453.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	300	5	305

Error

Counts

305 → 5

Compiler

Compiled 5829 to 4412 computations (24.3% saved)

regimes564.0ms (5.5%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 5141 to 4520 computations (12.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms (0%)

sample1.6s (15.3%)

Algorithm

1×

intervals

Results

256.0ms	8000×	body	128	valid
90.0ms	2756×	body	128	invalid

Compiler

Compiled 896 to 792 computations (11.6% saved)

Details

analyze406.0ms (4%)

sample261.0ms (2.6%)

simplify69.0ms (0.7%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite123.0ms (1.2%)

series372.0ms (3.6%)

simplify61.0ms (0.6%)

prune104.0ms (1%)

localize7.0ms (0.1%)

rewrite228.0ms (2.2%)

series410.0ms (4%)

simplify54.0ms (0.5%)

prune200.0ms (2%)

localize7.0ms (0.1%)

rewrite1.7s (16.6%)

series451.0ms (4.4%)

simplify189.0ms (1.9%)

prune1.3s (13.2%)

localize12.0ms (0.1%)

rewrite490.0ms (4.8%)

series1.0s (9.8%)

simplify132.0ms (1.3%)

prune453.0ms (4.4%)

regimes564.0ms (5.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.6s (15.3%)

Profiling