Details

analyze65.0ms (1.5%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify120.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
0.4b	(.f64 (.f64 x 3) y)

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
9×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245`
6×	`associate-r_binary64_19114`
4×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
2×	`-commutative_binary64_19105` `add-log-exp_binary64_19213` `associate-l*_binary64_19115`

Counts

2 → 39

Calls

2 calls:

10.0ms	(.f64 (.f64 x 3) y)
7.0ms	(.f64 (.f64 (*.f64 x 3) y) y)

series68.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
17.0ms	(.f64 (.f64 x 3) y)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	451

prune52.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Merged error: 0.0b

Counts

46 → 8

Compiler

Compiled 525 to 328 computations (37.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
9×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245`
4×	`associate-r_binary64_19114` `-un-lft-identity_binary64_19174` `associate-l*_binary64_19115` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
2×	`*-commutative_binary64_19105` `add-log-exp_binary64_19213`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
5.0ms	(.f64 x (.f64 3 y))

series71.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
27.0ms	(.f64 x (.f64 3 y))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4936	452
1	4936	452

prune38.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	43	10	53

Merged error: 0.0b

Counts

53 → 10

Compiler

Compiled 557 to 374 computations (32.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
21.1b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.1b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.1b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_19235`
10×	`add-sqr-sqrt_binary64_19196`
9×	`pow1/3_binary64_19256`
8×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209`
7×	`cbrt-prod_binary64_19205`
6×	`add-exp-log_binary64_19212`
4×	`add-log-exp_binary64_19213` `swap-sqr_binary64_19141` `associate-r_binary64_19114` `add-cbrt-cube_binary64_19210` `associate-l_binary64_19115`
2×	`pow-sqr_binary64_19147` `pow-prod-down_binary64_19245` `pow-prod-up_binary64_19244`
1×	`prod-exp_binary64_19223` `pow2_binary64_19255` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `pow-plus_binary64_19237`

Counts

4 → 58

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

series670.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

205.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
181.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
172.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
111.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4889	954
1	4889	954

prune153.0ms (3.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

Compiler

Compiled 2006 to 1386 computations (30.9% saved)

localize28.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.1b	(cbrt.f64 (.f64 x (.f64 y 3)))
21.1b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.1b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_19205`
5×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
4×	`add-log-exp_binary64_19213` `pow1/3_binary64_19256` `add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`

Counts

4 → 38

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 x (.f64 y 3)))
9.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
8.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
2.0ms	(cbrt.f64 y)

series607.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
164.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
143.0ms	(cbrt.f64 y)
128.0ms	(cbrt.f64 (.f64 x (.f64 y 3)))

simplify109.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4959	558
1	4959	558

prune122.0ms (2.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	49	11	60

Merged error: 0.0b

Counts

60 → 11

Compiler

Compiled 1535 to 1001 computations (34.8% saved)

regimes339.0ms (7.9%)

Compiler: Compiled 1785 to 1376 computations (22.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.5s (34.3%)

Algorithm

1×

intervals

Results

348.0ms	8000×	body	128	valid
7.0ms	165×	body	128	invalid

Compiler

Compiled 428 to 330 computations (22.9% saved)

Details

analyze65.0ms (1.5%)

sample12.0ms (0.3%)

simplify120.0ms (2.8%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite20.0ms (0.5%)

series68.0ms (1.6%)

simplify69.0ms (1.6%)

prune52.0ms (1.2%)

localize10.0ms (0.2%)

rewrite17.0ms (0.4%)

series71.0ms (1.7%)

simplify48.0ms (1.1%)

prune38.0ms (0.9%)

localize15.0ms (0.3%)

rewrite38.0ms (0.9%)

series670.0ms (15.6%)

simplify99.0ms (2.3%)

prune153.0ms (3.6%)

localize28.0ms (0.7%)

rewrite35.0ms (0.8%)

series607.0ms (14.2%)

simplify109.0ms (2.5%)

prune122.0ms (2.9%)

regimes339.0ms (7.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (34.3%)

Profiling