Details

analyze417.0ms (6.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	32
1	38	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
25%	62.4%	12.6%	6
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
31.2%	35.9%	32.9%	8
39%	25%	36%	9
39%	25%	36%	9
42.9%	18.7%	38.3%	10
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14
52.7%	4.8%	42.4%	14

Symmetry

(sort x y)

Compiler

Compiled 28 to 20 computations (28.6% saved)

sample528.0ms (8.7%)

Algorithm

2×

intervals

Results

17.0ms	512×	body	128	valid
14.0ms	421×	body	128	invalid

Compiler

Compiled 6355 to 5445 computations (14.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_17849`
2×	`associate-+l+_binary64_17743`
1×	`sum-log_binary64_17901` `pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `flip3-+_binary64_17813` `*-un-lft-identity_binary64_17810` `flip-+_binary64_17784` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `+-commutative_binary64_17740`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

Compiler

Compiled 288 to 149 computations (48.3% saved)

series244.0ms (4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

231.0ms

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

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5448	462

prune30.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Error

0.0b

Counts

32 → 3

Compiler

Compiled 419 to 225 computations (46.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
0.0b	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
6.4b	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))
6.4b	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))

rewrite129.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-log-exp_binary64_17849` `add-sqr-sqrt_binary64_17832`
6×	`pow1_binary64_17871` `add-cube-cbrt_binary64_17845` `sqrt-prod_binary64_17826` `*-un-lft-identity_binary64_17810`
4×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `flip3-+_binary64_17813` `sqrt-div_binary64_17827` `flip-+_binary64_17784` `associate-+l+_binary64_17743`
2×	`pow1/2_binary64_17890` `sqrt-pow1_binary64_17828` `rem-sqrt-square_binary64_17823` `sum-log_binary64_17901` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `+-commutative_binary64_17740`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
6.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
6.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))
6.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))

Compiler

Compiled 2082 to 1122 computations (46.1% saved)

series933.0ms (15.3%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

238.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
236.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
204.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))
195.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)))

Compiler

Compiled 2872 to 1890 computations (34.2% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4947	1736
1	4947	1736

prune154.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

0.0b

Counts

119 → 3

Compiler

Compiled 3025 to 1629 computations (46.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_17832`
4×	`add-log-exp_binary64_17849` `pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
3×	`associate-l_binary64_17751` `associate-r_binary64_17750`
2×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `distribute-rgt-in_binary64_17760` `associate-+l+_binary64_17743` `distribute-lft-in_binary64_17759` `associate-*r/_binary64_17752`
1×	`sum-log_binary64_17901` `+-commutative_binary64_17740` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `*-commutative_binary64_17741`

Counts

2 → 35

Calls

2 calls:

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

Compiler

Compiled 694 to 368 computations (47% saved)

series381.0ms (6.2%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

225.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
137.0ms	(.f64 y (+.f64 y (.f64 2 x)))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4954	841
1	4954	841

prune49.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

68 → 3

Compiler

Compiled 870 to 440 computations (49.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (+.f64 y (.f64 2 x)))
0.0b	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
0.2b	(pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3)
36.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3))

rewrite149.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_17832`
12×	`add-cube-cbrt_binary64_17845` `cbrt-prod_binary64_17841` `*-un-lft-identity_binary64_17810`
7×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
6×	`add-log-exp_binary64_17849` `unpow-prod-down_binary64_17889` `cube-prod_binary64_17838`
4×	`flip3-+_binary64_17813` `cube-div_binary64_17839` `flip-+_binary64_17784`
3×	`pow-unpow_binary64_17887` `associate-l_binary64_17751` `associate-r_binary64_17750`
2×	`cbrt-div_binary64_17842` `unpow3_binary64_17876` `cube-mult_binary64_17840` `sqr-pow_binary64_17782` `distribute-rgt-in_binary64_17760` `associate-+l+_binary64_17743` `distribute-lft-in_binary64_17759` `associate-*r/_binary64_17752`
1×	`pow1/3_binary64_17892` `rem-cbrt-cube_binary64_17834` `pow-pow_binary64_17882` `pow-to-exp_binary64_17879` `pow-exp_binary64_17878` `rem-cube-cbrt_binary64_17833` `sum-log_binary64_17901` `+-commutative_binary64_17740` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `*-commutative_binary64_17741`

Counts

4 → 83

Calls

4 calls:

7.0ms	(pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3))
6.0ms	(.f64 y (+.f64 y (.f64 2 x)))
6.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))

Compiler

Compiled 2202 to 1302 computations (40.9% saved)

series798.0ms (13.1%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

228.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3))
226.0ms	(+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x))
152.0ms	(pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 2 x))) (*.f64 x x)) 3)
130.0ms	(.f64 y (+.f64 y (.f64 2 x)))

Compiler

Compiled 2142 to 1717 computations (19.8% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5518	2819

prune154.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Error

0.0b

Counts

158 → 3

Compiler

Compiled 2645 to 1586 computations (40% saved)

regimes127.0ms (2.1%)

Accuracy

Total 0.0b remaining (89.1%)

Threshold costs 0.0b (89.1%)

Compiler

Compiled 1233 to 854 computations (30.7% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	38
1	15	38

Compiler

Compiled 50 to 32 computations (36% saved)

end0.0ms (0%)

sample1.6s (26.4%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
224.0ms	6355×	body	128	invalid

Compiler

Compiled 453 to 313 computations (30.9% saved)

Details

analyze417.0ms (6.8%)

sample528.0ms (8.7%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.4%)

series244.0ms (4%)

simplify55.0ms (0.9%)

prune30.0ms (0.5%)

localize10.0ms (0.2%)

rewrite129.0ms (2.1%)

series933.0ms (15.3%)

simplify68.0ms (1.1%)

prune154.0ms (2.5%)

localize7.0ms (0.1%)

rewrite50.0ms (0.8%)

series381.0ms (6.2%)

simplify79.0ms (1.3%)

prune49.0ms (0.8%)

localize13.0ms (0.2%)

rewrite149.0ms (2.4%)

series798.0ms (13.1%)

simplify58.0ms (1%)

prune154.0ms (2.5%)

regimes127.0ms (2.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

end0.0ms (0%)

sample1.6s (26.4%)

Profiling