Details

analyze251.0ms (2.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	20
1	256	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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample141.0ms (1.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 2375 to 2373 computations (0.1% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune2.0ms (0%)

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 10 computations (28.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_6596`
2×	`diff-log_binary64_6649`
1×	`sum-log_binary64_6648` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `flip3--_binary64_6561` `*-un-lft-identity_binary64_6557` `sub-neg_binary64_6550` `flip--_binary64_6532` `cancel-sign-sub-inv_binary64_6523` `associate--l+_binary64_6494`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

Compiler

Compiled 205 to 51 computations (75.1% saved)

series117.0ms (1.3%)

Error

Counts

1 → 12

Calls

1 calls:

110.0ms

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

Compiler

Compiled 178 to 111 computations (37.6% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6203	308

prune19.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

0.0b

Counts

27 → 2

Compiler

Compiled 265 to 50 computations (81.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 y x) (*.f64 y x))
0.0b	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.0b	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.3b	(.f64 (sqrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))

rewrite141.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_6579`
24×	`sqrt-prod_binary64_6573`
21×	`pow1_binary64_6618`
16×	`sqrt-div_binary64_6574`
14×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
10×	`pow1/2_binary64_6637` `sqrt-pow1_binary64_6575`
9×	`add-log-exp_binary64_6596` `flip3--_binary64_6561` `flip--_binary64_6532`
8×	`swap-sqr_binary64_6524`
6×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498` `associate-r_binary64_6497`
5×	`pow-prod-up_binary64_6627`
4×	`rem-sqrt-square_binary64_6570` `frac-times_binary64_6567` `unswap-sqr_binary64_6525`
3×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530`
2×	`associate-l/_binary64_6500` `associate-r/_binary64_6499` `diff-log_binary64_6649`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `sqrt-unprod_binary64_6577` `sqr-abs_binary64_6572` `rem-square-sqrt_binary64_6569` `*-commutative_binary64_6488` `sum-log_binary64_6648` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523` `associate--l+_binary64_6494`

Counts

4 → 102

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
6.0ms	(-.f64 (+.f64 y x) (*.f64 y x))
6.0ms	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 2898 to 338 computations (88.3% saved)

series478.0ms (5.5%)

Error

Counts

4 → 42

Calls

4 calls:

115.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
110.0ms	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
108.0ms	(-.f64 (+.f64 y x) (*.f64 y x))
107.0ms	(sqrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 2162 to 1306 computations (39.6% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4888	2408
1	4888	2408

prune116.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	143	3	146

Error

0.0b

Counts

146 → 3

Compiler

Compiled 2847 to 536 computations (81.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y)))) 4) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
0.3b	(cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
0.5b	(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)
0.5b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

rewrite162.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64_6579`
33×	`cbrt-prod_binary64_6588`
24×	`unpow-prod-down_binary64_6636`
17×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
13×	`associate-l_binary64_6498`
11×	`sqrt-prod_binary64_6573`
10×	`add-exp-log_binary64_6595` `unswap-sqr_binary64_6525`
6×	`cbrt-div_binary64_6589` `associate-r_binary64_6497`
5×	`pow1_binary64_6618` `add-cbrt-cube_binary64_6593`
4×	`add-log-exp_binary64_6596` `sqr-pow_binary64_6529`
3×	`pow1/3_binary64_6639` `flip3--_binary64_6561` `flip--_binary64_6532` `pow-unpow_binary64_6634` `prod-exp_binary64_6606`
2×	`pow-pow_binary64_6629` `pow-to-exp_binary64_6626` `pow-exp_binary64_6625` `sqrt-div_binary64_6574` `associate-*r/_binary64_6499`
1×	`cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 96

Calls

4 calls:

17.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y)))) 4) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
8.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)
6.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
5.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

Compiler

Compiled 3194 to 644 computations (79.8% saved)

series1.8s (20.1%)

Error

Counts

4 → 56

Calls

4 calls:

948.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)
288.0ms	(cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
281.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
123.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y)))) 4) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

Compiler

Compiled 5355 to 4070 computations (24% saved)

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4951	5341
1	4951	5341

prune270.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	152	3	155

Error

Counts

155 → 3

Compiler

Compiled 4957 to 2781 computations (43.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_6579`
12×	`cancel-sign-sub-inv_binary64_6523`
11×	`*-un-lft-identity_binary64_6557`
8×	`add-cube-cbrt_binary64_6592` `distribute-rgt-in_binary64_6507` `associate-+r+_binary64_6489` `distribute-lft-in_binary64_6506`
6×	`associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `sub-neg_binary64_6550`
3×	`associate-l_binary64_6498`
2×	`associate-*r/_binary64_6499` `difference-of-squares_binary64_6526`
1×	`sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487` `pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `flip3--_binary64_6561` `flip--_binary64_6532` `distribute-lft-out--_binary64_6509` `*-commutative_binary64_6488`

Counts

2 → 50

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 1 y))
4.0ms	(+.f64 y (*.f64 x (-.f64 1 y)))

Compiler

Compiled 695 to 406 computations (41.6% saved)

series197.0ms (2.3%)

Error

Counts

2 → 21

Calls

2 calls:

97.0ms	(+.f64 y (*.f64 x (-.f64 1 y)))
90.0ms	(*.f64 x (-.f64 1 y))

Compiler

Compiled 338 to 212 computations (37.3% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4953	631
1	4953	631

prune43.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 707 to 221 computations (68.7% saved)

regimes93.0ms (1.1%)

Accuracy

Total 0.0b remaining (90.1%)

Threshold costs 0.0b (90.1%)

Compiler

Compiled 505 to 363 computations (28.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample4.5s (51.7%)

Algorithm

1×

intervals

Results

183.0ms	7992×	body	128	valid
30.0ms	1155×	body	128	invalid
0.0ms	7×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 73398 to 73358 computations (0.1% saved)

Details

analyze251.0ms (2.9%)

sample141.0ms (1.6%)

simplify16.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0%)

rewrite17.0ms (0.2%)

series117.0ms (1.3%)

simplify60.0ms (0.7%)

prune19.0ms (0.2%)

localize7.0ms (0.1%)

rewrite141.0ms (1.6%)

series478.0ms (5.5%)

simplify94.0ms (1.1%)

prune116.0ms (1.3%)

localize10.0ms (0.1%)

rewrite162.0ms (1.9%)

series1.8s (20.1%)

simplify100.0ms (1.1%)

prune270.0ms (3.1%)

localize5.0ms (0.1%)

rewrite56.0ms (0.6%)

series197.0ms (2.3%)

simplify63.0ms (0.7%)

prune43.0ms (0.5%)

regimes93.0ms (1.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample4.5s (51.7%)

Profiling