Details

analyze158.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	26
1	67	26
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%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Symmetry

Compiler

Compiled 16 to 8 computations (50% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

prune4.0ms (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 → 2

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 y (.f64 y 3))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
3×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `associate-l_binary64_12295`
2×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
1×	`add-log-exp_binary64_12393` `associate-r_binary64_12294` `*-commutative_binary64_12285`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 y (*.f64 y 3))

Compiler

Compiled 256 to 138 computations (46.1% saved)

series29.0ms (0.8%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 y (*.f64 y 3))

Compiler

Compiled 81 to 66 computations (18.5% saved)

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4830	166
1	4830	166

prune19.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Error

0.0b

Counts

23 → 5

Compiler

Compiled 297 to 157 computations (47.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

rewrite51.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-log-exp_binary64_12393`
10×	`sum-log_binary64_12445`
3×	`pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376` `flip3-+_binary64_12357` `*-un-lft-identity_binary64_12354` `flip-+_binary64_12328` `+-commutative_binary64_12284`
2×	`associate-+l+_binary64_12287`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
6.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1006 to 148 computations (85.3% saved)

series346.0ms (9.8%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

122.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
108.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
93.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 942 to 675 computations (28.3% saved)

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5013	956

prune51.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Error

0.0b

Counts

79 → 6

Compiler

Compiled 1152 to 333 computations (71.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))
5.9b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
5.9b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))

rewrite184.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_12376`
24×	`sqrt-prod_binary64_12370`
21×	`pow1_binary64_12415`
16×	`sqrt-div_binary64_12371`
14×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
10×	`pow1/2_binary64_12434` `sqrt-pow1_binary64_12372`
9×	`flip3-+_binary64_12357` `flip-+_binary64_12328`
8×	`swap-sqr_binary64_12321`
6×	`add-log-exp_binary64_12393` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `associate-l_binary64_12295` `associate-r_binary64_12294`
5×	`pow-prod-up_binary64_12424`
4×	`rem-sqrt-square_binary64_12367` `frac-times_binary64_12364` `unswap-sqr_binary64_12322`
3×	`pow-prod-down_binary64_12425` `pow-sqr_binary64_12327`
2×	`associate-l/_binary64_12297` `associate-r/_binary64_12296`
1×	`pow2_binary64_12435` `pow-plus_binary64_12417` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `sqrt-unprod_binary64_12374` `sqr-abs_binary64_12369` `rem-square-sqrt_binary64_12366` `*-commutative_binary64_12285` `sum-log_binary64_12445` `+-commutative_binary64_12284`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))
12.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))

Compiler

Compiled 4003 to 1786 computations (55.4% saved)

series503.0ms (14.2%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

120.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
120.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
114.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))
106.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))

Compiler

Compiled 2484 to 1772 computations (28.7% saved)

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5223	2689

prune153.0ms (4.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	148	7	155

Error

Counts

155 → 7

Compiler

Compiled 3654 to 1713 computations (53.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 y y))
0.3b	(.f64 (sqrt.f64 (.f64 3 (.f64 y y))) (sqrt.f64 (.f64 3 (*.f64 y y))))
21.2b	(sqrt.f64 (.f64 3 (.f64 y y)))
21.2b	(sqrt.f64 (.f64 3 (.f64 y y)))

rewrite144.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

148×	`pow1_binary64_12415`
80×	`pow-prod-down_binary64_12425`
66×	`sqrt-pow1_binary64_12372`
17×	`pow-prod-up_binary64_12424`
14×	`pow1/2_binary64_12434`
12×	`add-sqr-sqrt_binary64_12376`
11×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `pow-sqr_binary64_12327`
9×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
7×	`associate-l_binary64_12295`
6×	`sqrt-prod_binary64_12370`
5×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `swap-sqr_binary64_12321`
2×	`unswap-sqr_binary64_12322` `*-commutative_binary64_12285`
1×	`pow2_binary64_12435` `pow-plus_binary64_12417` `sqrt-unprod_binary64_12374` `rem-square-sqrt_binary64_12366`

Counts

4 → 109

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 3 (.f64 y y))) (sqrt.f64 (.f64 3 (*.f64 y y))))
5.0ms	(.f64 3 (.f64 y y))
4.0ms	(sqrt.f64 (.f64 3 (.f64 y y)))
4.0ms	(sqrt.f64 (.f64 3 (.f64 y y)))

Compiler

Compiled 2280 to 1252 computations (45.1% saved)

series144.0ms (4.1%)

Error

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (sqrt.f64 (.f64 3 (.f64 y y))) (sqrt.f64 (.f64 3 (*.f64 y y))))
30.0ms	(.f64 3 (.f64 y y))
28.0ms	(sqrt.f64 (.f64 3 (.f64 y y)))
26.0ms	(sqrt.f64 (.f64 3 (.f64 y y)))

Compiler

Compiled 543 to 412 computations (24.1% saved)

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4997	772
1	4997	772

prune97.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	1	3
Picked	1	0	1
Done	0	3	3
Total	123	5	128

Error

Counts

128 → 5

Compiler

Compiled 1883 to 989 computations (47.5% saved)

regimes232.0ms (6.5%)

Accuracy

Total 0.1b remaining (95%)

Threshold costs 0.1b (95%)

Compiler

Compiled 2594 to 1596 computations (38.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

Removed

()

end0.0ms (0%)

sample1.1s (29.8%)

Algorithm

1×

intervals

Results

429.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 491 to 308 computations (37.3% saved)

Details

analyze158.0ms (4.5%)

sample15.0ms (0.4%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite25.0ms (0.7%)

series29.0ms (0.8%)

simplify63.0ms (1.8%)

prune19.0ms (0.5%)

localize9.0ms (0.2%)

rewrite51.0ms (1.4%)

series346.0ms (9.8%)

simplify72.0ms (2%)

prune51.0ms (1.4%)

localize9.0ms (0.3%)

rewrite184.0ms (5.2%)

series503.0ms (14.2%)

simplify77.0ms (2.2%)

prune153.0ms (4.3%)

localize9.0ms (0.2%)

rewrite144.0ms (4.1%)

series144.0ms (4.1%)

simplify78.0ms (2.2%)

prune97.0ms (2.7%)

regimes232.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29.8%)

Profiling