Details

analyze375.0ms (14.9%)

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify167.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	10
1	42	10

prune2.0ms (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

Merged error: 13.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
13.1b	(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
8×	`add-sqr-sqrt_binary64_11893` `*-un-lft-identity_binary64_11872`
6×	`add-cube-cbrt_binary64_11904`
4×	`associate-r/_binary64_11816` `pow1_binary64_11930` `associate-r*_binary64_11814`
3×	`times-frac_binary64_11878` `associate-l_binary64_11815` `associate-/r*_binary64_11818`
2×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `prod-exp_binary64_11918` `associate-/l/_binary64_11821` `flip-+_binary64_11846` `cbrt-unprod_binary64_11902` `add-log-exp_binary64_11908` `flip3-+_binary64_11875`
1×	`div-inv_binary64_11869` `distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824` `pow-prod-down_binary64_11940` `unswap-sqr_binary64_11840` `clear-num_binary64_11871` `associate-/l_binary64_11819` `frac-2neg_binary64_11883` `distribute-lft-out_binary64_11825` `-commutative_binary64_11805`

Counts

2 → 46

Calls

2 calls:

8.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms	(*.f64 x (+.f64 y z))

series139.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
53.0ms	(*.f64 x (+.f64 y z))

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5635	553

prune41.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

Compiler

Compiled 602 to 170 computations (71.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 y z) z)
1.2b	(*.f64 x (/.f64 (+.f64 y z) z))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_11872`
25×	`times-frac_binary64_11878` `add-sqr-sqrt_binary64_11893`
20×	`add-cube-cbrt_binary64_11904`
16×	`associate-r_binary64_11814`
9×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
7×	`distribute-lft-out_binary64_11825`
4×	`associate-/l*_binary64_11819` `pow1_binary64_11930`
3×	`associate-l_binary64_11815` `associate-/r*_binary64_11818`
2×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `div-inv_binary64_11869` `prod-exp_binary64_11918` `associate-/l/_binary64_11821` `cbrt-unprod_binary64_11902` `unswap-sqr_binary64_11840` `add-log-exp_binary64_11908`
1×	`associate-r/_binary64_11816` `pow-prod-down_binary64_11940` `flip-+_binary64_11846` `clear-num_binary64_11871` `frac-2neg_binary64_11883` `-commutative_binary64_11805` `flip3-+_binary64_11875`

Counts

2 → 68

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms	(/.f64 (+.f64 y z) z)

series115.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
39.0ms	(/.f64 (+.f64 y z) z)

simplify67.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4972	932
1	4972	932

prune46.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

Compiler

Compiled 990 to 243 computations (75.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 y z))
1.3b	(/.f64 x (/.f64 z (+.f64 y z)))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_11878`
94×	`*-un-lft-identity_binary64_11872`
62×	`add-sqr-sqrt_binary64_11893` `add-cube-cbrt_binary64_11904`
22×	`associate-/r*_binary64_11818`
16×	`distribute-lft-out_binary64_11825`
11×	`associate-/r/_binary64_11820`
9×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
6×	`div-inv_binary64_11869` `associate-/l*_binary64_11819`
5×	`flip-+_binary64_11846` `flip3-+_binary64_11875`
4×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920`
2×	`clear-num_binary64_11871` `pow1_binary64_11930` `frac-2neg_binary64_11883` `add-log-exp_binary64_11908`

Counts

2 → 123

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
6.0ms	(/.f64 z (+.f64 y z))

series141.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
50.0ms	(/.f64 z (+.f64 y z))

simplify87.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5287	2384

prune85.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	130	5	135

Merged error: 0b

Counts

135 → 5

Compiler

Compiled 1975 to 387 computations (80.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 x z)))
5.3b	(*.f64 y (/.f64 x z))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_11893`
13×	`associate-r_binary64_11814`
10×	`times-frac_binary64_11878` `add-cube-cbrt_binary64_11904` `*-un-lft-identity_binary64_11872`
7×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
4×	`pow1_binary64_11930` `add-log-exp_binary64_11908`
3×	`associate-l_binary64_11815`
2×	`prod-exp_binary64_11918` `cbrt-unprod_binary64_11902` `unswap-sqr_binary64_11840`
1×	`sum-log_binary64_11960` `cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `div-inv_binary64_11869` `associate-r/_binary64_11816` `pow-prod-down_binary64_11940` `flip-+_binary64_11846` `+-commutative_binary64_11804` `-commutative_binary64_11805` `flip3-+_binary64_11875`

Counts

2 → 43

Calls

2 calls:

8.0ms	(*.f64 y (/.f64 x z))
3.0ms	(+.f64 x (*.f64 y (/.f64 x z)))

series87.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(+.f64 x (*.f64 y (/.f64 x z)))
38.0ms	(*.f64 y (/.f64 x z))

simplify50.0ms (2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5206	556

prune29.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Merged error: 0b

Counts

54 → 5

Compiler

Compiled 585 to 162 computations (72.3% saved)

regimes138.0ms (5.5%)

Compiler: Compiled 1043 to 722 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample757.0ms (30.1%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
23.0ms	743×	body	128	invalid

Compiler

Compiled 257 to 182 computations (29.2% saved)

Details

analyze375.0ms (14.9%)

sample15.0ms (0.6%)

simplify167.0ms (6.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite18.0ms (0.7%)

series139.0ms (5.5%)

simplify66.0ms (2.6%)

prune41.0ms (1.6%)

localize5.0ms (0.2%)

rewrite22.0ms (0.9%)

series115.0ms (4.6%)

simplify67.0ms (2.7%)

prune46.0ms (1.8%)

localize5.0ms (0.2%)

rewrite29.0ms (1.2%)

series141.0ms (5.6%)

simplify87.0ms (3.5%)

prune85.0ms (3.4%)

localize5.0ms (0.2%)

rewrite15.0ms (0.6%)

series87.0ms (3.5%)

simplify50.0ms (2%)

prune29.0ms (1.1%)

regimes138.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample757.0ms (30.1%)

Profiling