Details

analyze121.0ms (4.8%)

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify193.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5574	16

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

6.8b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
6.4b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite39.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_22925`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
9×	`add-sqr-sqrt_binary64_22947`
7×	`add-cube-cbrt_binary64_22960`
5×	`pow1_binary64_22986` `add-log-exp_binary64_22964`
4×	`associate-r/_binary64_22867` `associate-r_binary64_22865` `associate-/r_binary64_22869` `times-frac_binary64_22931` `distribute-lft-out_binary64_22876` `flip3-+_binary64_22928` `flip-+_binary64_22899`
3×	`associate-l_binary64_22866`
2×	`cbrt-undiv_binary64_22959` `prod-exp_binary64_22974` `associate-/r/_binary64_22871` `div-exp_binary64_22976` `associate-/l/_binary64_22872` `cbrt-unprod_binary64_22958`
1×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `-commutative_binary64_22856` `pow-prod-down_binary64_22996` `div-inv_binary64_22922` `+-commutative_binary64_22855` `unswap-sqr_binary64_22893` `associate-/l_binary64_22870` `distribute-lft-in_binary64_22874` `distribute-rgt-in_binary64_22875` `sum-log_binary64_23016`

Counts

3 → 62

Calls

3 calls:

15.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
7.0ms	(+.f64 (/.f64 x y) 1)

series54.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
17.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
10.0ms	(+.f64 (/.f64 x y) 1)

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5185	997

prune75.0ms (3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Error

0.0b

Counts

72 → 6

Compiler

Compiled 1214 to 722 computations (40.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64_22925`
146×	`times-frac_binary64_22931`
72×	`add-sqr-sqrt_binary64_22947` `add-cube-cbrt_binary64_22960`
43×	`distribute-lft-out_binary64_22876`
26×	`associate-/r*_binary64_22869`
11×	`associate-/r/_binary64_22871`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
7×	`flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-/l*_binary64_22870`
6×	`div-inv_binary64_22922`
5×	`add-log-exp_binary64_22964`
4×	`cbrt-undiv_binary64_22959` `div-exp_binary64_22976`
3×	`pow1_binary64_22986`
2×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `associate-/l/_binary64_22872`
1×	`+-commutative_binary64_22855` `sum-log_binary64_23016`

Counts

3 → 158

Calls

3 calls:

15.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
7.0ms	(+.f64 (/.f64 x y) 1)

series72.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
30.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
10.0ms	(+.f64 (/.f64 x y) 1)

simplify109.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4949	4125
1	4949	4125

prune165.0ms (6.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	166	7	173

Error

Counts

173 → 7

Compiler

Compiled 3530 to 2055 computations (41.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 x y)) x)
0.2b	(*.f64 x (/.f64 x y))
6.4b	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_22925`
25×	`add-sqr-sqrt_binary64_22947`
22×	`times-frac_binary64_22931`
20×	`add-cube-cbrt_binary64_22960`
13×	`associate-r_binary64_22865`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
5×	`pow1_binary64_22986` `add-log-exp_binary64_22964`
4×	`associate-/r*_binary64_22869` `distribute-lft-out_binary64_22876`
3×	`flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-l_binary64_22866` `associate-/l*_binary64_22870`
2×	`cbrt-undiv_binary64_22959` `prod-exp_binary64_22974` `associate-/r/_binary64_22871` `div-inv_binary64_22922` `div-exp_binary64_22976` `unswap-sqr_binary64_22893` `associate-/l/_binary64_22872` `cbrt-unprod_binary64_22958`
1×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `associate-r/_binary64_22867` `-commutative_binary64_22856` `pow-prod-down_binary64_22996` `+-commutative_binary64_22855` `sum-log_binary64_23016`

Counts

3 → 78

Calls

3 calls:

11.0ms	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
7.0ms	(*.f64 x (/.f64 x y))
5.0ms	(+.f64 (*.f64 x (/.f64 x y)) x)

series53.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1))
15.0ms	(*.f64 x (/.f64 x y))
15.0ms	(+.f64 (*.f64 x (/.f64 x y)) x)

simplify76.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5132	1440

prune66.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Error

Counts

94 → 5

Compiler

Compiled 1564 to 589 computations (62.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 x x) y) x)
6.4b	(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
8.1b	(/.f64 (*.f64 x x) y)

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_22925`
19×	`times-frac_binary64_22931`
15×	`add-sqr-sqrt_binary64_22947` `add-cube-cbrt_binary64_22960`
11×	`distribute-lft-out_binary64_22876`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
7×	`associate-/r*_binary64_22869`
5×	`add-log-exp_binary64_22964` `associate-/l*_binary64_22870`
3×	`cbrt-undiv_binary64_22959` `pow1_binary64_22986` `div-exp_binary64_22976` `flip3-+_binary64_22928` `flip-+_binary64_22899`
2×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `associate-/r/_binary64_22871` `div-inv_binary64_22922` `associate-/l/_binary64_22872`
1×	`prod-exp_binary64_22974` `+-commutative_binary64_22855` `sum-log_binary64_23016` `cbrt-unprod_binary64_22958`

Counts

3 → 73

Calls

3 calls:

12.0ms	(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
7.0ms	(+.f64 (/.f64 (*.f64 x x) y) x)
5.0ms	(/.f64 (*.f64 x x) y)

series50.0ms (2%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x 1))
15.0ms	(+.f64 (/.f64 (*.f64 x x) y) x)
13.0ms	(/.f64 (*.f64 x x) y)

simplify71.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5071	1455

prune58.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Error

Counts

87 → 5

Compiler

Compiled 1413 to 531 computations (62.4% saved)

regimes165.0ms (6.5%)

Accuracy

Total 0.1b remaining (97.5%)

Threshold costs 0.1b (97.5%)

Compiler

Compiled 1751 to 1293 computations (26.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample934.0ms (36.8%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
9.0ms	267×	body	128	invalid

Compiler

Compiled 570 to 423 computations (25.8% saved)

Details

analyze121.0ms (4.8%)

sample15.0ms (0.6%)

simplify193.0ms (7.6%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite39.0ms (1.6%)

series54.0ms (2.1%)

simplify73.0ms (2.9%)

prune75.0ms (3%)

localize7.0ms (0.3%)

rewrite48.0ms (1.9%)

series72.0ms (2.8%)

simplify109.0ms (4.3%)

prune165.0ms (6.5%)

localize7.0ms (0.3%)

rewrite33.0ms (1.3%)

series53.0ms (2.1%)

simplify76.0ms (3%)

prune66.0ms (2.6%)

localize7.0ms (0.3%)

rewrite31.0ms (1.2%)

series50.0ms (2%)

simplify71.0ms (2.8%)

prune58.0ms (2.3%)

regimes165.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample934.0ms (36.8%)

Profiling