Details

analyze183.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	20
1	70	20
0	2	2
1	2	2

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
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite42.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_16105`
8×	`pow1_binary64_16166`
7×	`add-sqr-sqrt_binary64_16127`
6×	`flip3-+_binary64_16108` `flip-+_binary64_16079` `swap-sqr_binary64_16072` `distribute-lft-out_binary64_16056`
5×	`add-cube-cbrt_binary64_16140`
4×	`frac-times_binary64_16115` `associate-l_binary64_16046` `associate-r_binary64_16045`
3×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
2×	`associate-l/_binary64_16048` `associate-r/_binary64_16047`
1×	`pow2_binary64_16186` `pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `pow-sqr_binary64_16078` `unswap-sqr_binary64_16073` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `*-commutative_binary64_16036`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

Compiler

Compiled 610 to 146 computations (76.1% saved)

series101.0ms (3.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

87.0ms

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

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify64.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	634
1	4976	634

prune37.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

0.0b

Counts

59 → 4

Compiler

Compiled 591 to 219 computations (62.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite71.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`associate-*r/_binary64_16047`
11×	`add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
8×	`associate-r_binary64_16045`
7×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `flip3-+_binary64_16108` `flip-+_binary64_16079`
6×	`associate-l_binary64_16046`
5×	`add-log-exp_binary64_16144`
4×	`distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `frac-add_binary64_16113`
2×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `distribute-lft-out_binary64_16056` `*-commutative_binary64_16036` `associate-+l+_binary64_16038` `associate-+r+_binary64_16037`
1×	`sum-log_binary64_16196` `distribute-rgt-out_binary64_16058` `+-commutative_binary64_16035`

Counts

3 → 66

Calls

3 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
6.0ms	(*.f64 y (+.f64 y x))
6.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1299 to 263 computations (79.8% saved)

series289.0ms (9.9%)

Error

Counts

3 → 42

Calls

3 calls:

142.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
64.0ms	(*.f64 y (+.f64 y x))
61.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1062 to 662 computations (37.7% saved)

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4736	1110
1	4736	1110

prune61.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 1426 to 307 computations (78.5% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite62.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_16144`
7×	`add-sqr-sqrt_binary64_16127` `flip3-+_binary64_16108` `*-un-lft-identity_binary64_16105` `flip-+_binary64_16079`
6×	`associate-*r/_binary64_16047`
5×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140`
4×	`sum-log_binary64_16196` `frac-add_binary64_16113` `associate-r_binary64_16045`
3×	`distribute-rgt-out_binary64_16058` `associate-l_binary64_16046`
2×	`+-commutative_binary64_16035` `distribute-rgt-in_binary64_16055` `associate-+l+_binary64_16038` `distribute-lft-in_binary64_16054`
1×	`associate-+r+_binary64_16037` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `distribute-lft-out_binary64_16056` `*-commutative_binary64_16036`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x y)))
6.0ms	(*.f64 x (+.f64 y x))
4.0ms	(+.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 1343 to 230 computations (82.9% saved)

series317.0ms (10.8%)

Error

Counts

3 → 42

Calls

3 calls:

154.0ms	(+.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x y)))
80.0ms	(+.f64 (.f64 y y) (.f64 x y))
62.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1122 to 666 computations (40.6% saved)

simplify96.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4916	1175
1	4916	1175

prune56.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Error

Counts

100 → 3

Compiler

Compiled 1425 to 324 computations (77.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_16127`
4×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
3×	`associate-l_binary64_16046` `associate-r_binary64_16045`
2×	`distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `flip3-+_binary64_16108` `associate-*r/_binary64_16047` `flip-+_binary64_16079` `associate-+l+_binary64_16038`
1×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036` `sum-log_binary64_16196` `+-commutative_binary64_16035`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (.f64 y (+.f64 y (.f64 x 2))) (*.f64 x x))
6.0ms	(.f64 y (+.f64 y (.f64 x 2)))

Compiler

Compiled 694 to 368 computations (47% saved)

series241.0ms (8.2%)

Error

Counts

2 → 30

Calls

2 calls:

136.0ms	(+.f64 (.f64 y (+.f64 y (.f64 x 2))) (*.f64 x x))
90.0ms	(.f64 y (+.f64 y (.f64 x 2)))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4954	841
1	4954	841

prune42.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 856 to 429 computations (49.9% saved)

regimes156.0ms (5.3%)

Accuracy

Total 0.0b remaining (92.8%)

Threshold costs 0.0b (92.8%)

Compiler

Compiled 1315 to 779 computations (40.8% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

sample866.0ms (29.5%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
2.0ms	104×	body	128	invalid

Compiler

Compiled 333 to 203 computations (39% saved)

Details

analyze183.0ms (6.2%)

sample19.0ms (0.6%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite42.0ms (1.4%)

series101.0ms (3.4%)

simplify64.0ms (2.2%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

rewrite71.0ms (2.4%)

series289.0ms (9.9%)

simplify72.0ms (2.4%)

prune61.0ms (2.1%)

localize10.0ms (0.4%)

rewrite62.0ms (2.1%)

series317.0ms (10.8%)

simplify96.0ms (3.3%)

prune56.0ms (1.9%)

localize7.0ms (0.2%)

rewrite44.0ms (1.5%)

series241.0ms (8.2%)

simplify75.0ms (2.6%)

prune42.0ms (1.4%)

regimes156.0ms (5.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample866.0ms (29.5%)

Profiling