Details

analyze294.0ms (10.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	240×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	6×	body	512	valid
0.0ms	4×	body	1024	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3527`
4×	`sum-log_binary64_3579`
3×	`distribute-lft-out_binary64_3439`
2×	`add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526` `flip-+_binary64_3462` `flip3-+_binary64_3491` `+-commutative_binary64_3418` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
1×	`associate-+l+_binary64_3421`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
5.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series59.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))
29.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5164	407

prune35.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Error

0.0b

Counts

34 → 5

Compiler

Compiled 503 to 299 computations (40.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3488`
5×	`add-sqr-sqrt_binary64_3510` `associate-r_binary64_3428`
3×	`distribute-lft-out_binary64_3439` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `add-cube-cbrt_binary64_3523` `pow1_binary64_3549`
2×	`associate-*r/_binary64_3430`
1×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series28.0ms (1%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5245	315

prune26.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	27	5	32

Error

Counts

32 → 5

Compiler

Compiled 399 to 219 computations (45.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.4b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite78.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_3488`
70×	`cbrt-div_binary64_3520`
51×	`cbrt-prod_binary64_3519`
35×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
34×	`associate-*r/_binary64_3430`
33×	`distribute-lft-out_binary64_3439`
32×	`frac-times_binary64_3498`
24×	`add-sqr-sqrt_binary64_3510`
20×	`pow1_binary64_3549`
16×	`associate-l/_binary64_3431` `associate-r*_binary64_3428` `add-cube-cbrt_binary64_3523`
15×	`add-exp-log_binary64_3526`
14×	`swap-sqr_binary64_3455`
9×	`associate-l_binary64_3429`
8×	`add-cbrt-cube_binary64_3524` `pow-prod-down_binary64_3559` `pow1/3_binary64_3570`
7×	`cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
4×	`unswap-sqr_binary64_3456` `add-log-exp_binary64_3527`
2×	`pow-prod-up_binary64_3558` `*-commutative_binary64_3419` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551`

Counts

4 → 142

Calls

4 calls:

27.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
18.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series253.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
75.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
65.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
36.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

simplify82.0ms (3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4952	3982
1	4952	3982

prune202.0ms (7.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	154	5	159

Error

Counts

159 → 5

Compiler

Compiled 4490 to 2603 computations (42% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite47.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3488`
21×	`sqrt-prod_binary64_3504`
18×	`sqrt-div_binary64_3505`
17×	`add-sqr-sqrt_binary64_3510`
16×	`associate-r_binary64_3428`
13×	`pow1_binary64_3549`
12×	`distribute-lft-out_binary64_3439`
11×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523`
10×	`associate-*r/_binary64_3430`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
4×	`associate-l_binary64_3429` `cbrt-unprod_binary64_3521` `frac-times_binary64_3498` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `prod-exp_binary64_3537`
2×	`associate-l/_binary64_3431` `unswap-sqr_binary64_3456` `pow1/2_binary64_3568` `-commutative_binary64_3419` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`

Counts

4 → 91

Calls

4 calls:

17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

series134.0ms (5%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
29.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
24.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
22.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5045	1691

prune96.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

Counts

108 → 5

Compiler

Compiled 2076 to 1170 computations (43.6% saved)

regimes150.0ms (5.6%)

Accuracy

Total 0.1b remaining (97%)

Threshold costs 0.1b (97%)

Compiler

Compiled 1356 to 1088 computations (19.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample855.0ms (31.7%)

Algorithm

1×

intervals

Results

234.0ms	7518×	body	128	valid
23.0ms	674×	body	128	invalid
17.0ms	207×	body	512	valid
16.0ms	151×	body	1024	valid
7.0ms	124×	body	256	valid

Compiler

Compiled 360 to 291 computations (19.2% saved)

Details

analyze294.0ms (10.9%)

sample17.0ms (0.6%)

simplify97.0ms (3.6%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite15.0ms (0.5%)

series59.0ms (2.2%)

simplify54.0ms (2%)

prune35.0ms (1.3%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series28.0ms (1%)

simplify61.0ms (2.2%)

prune26.0ms (1%)

localize9.0ms (0.3%)

rewrite78.0ms (2.9%)

series253.0ms (9.4%)

simplify82.0ms (3%)

prune202.0ms (7.5%)

localize7.0ms (0.3%)

rewrite47.0ms (1.7%)

series134.0ms (5%)

simplify71.0ms (2.6%)

prune96.0ms (3.6%)

regimes150.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample855.0ms (31.7%)

Profiling