Details

analyze306.0ms (7.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample33.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
7.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify289.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4905	19
1	4905	19

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 64

Calls

2 calls:

19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series166.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

104.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
62.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5018	1486

prune146.0ms (3.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0b

Counts

71 → 6

Compiler

Compiled 1572 to 1063 computations (32.4% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
0.0b	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
0.2b	(*.f64 (/.f64 m v) m)

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
20×	`associate-l_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-r_binary64`
7×	`pow1_binary64` `flip3--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `associate-*l/_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `div-inv_binary64` `div-exp_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 87

Calls

3 calls:

21.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
15.0ms	(*.f64 (/.f64 m v) m)
11.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))

series153.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
59.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
32.0ms	(*.f64 (/.f64 m v) m)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	1730

prune108.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0b

Counts

102 → 5

Compiler

Compiled 2132 to 1117 computations (47.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 m v))
0.1b	(sqrt.f64 (/.f64 m v))
0.2b	(*.f64 m (sqrt.f64 (/.f64 m v)))
0.3b	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 m (sqrt.f64 (/.f64 m v))))

rewrite54.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
39×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-l_binary64`
17×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`sqrt-div_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 118

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 m (sqrt.f64 (/.f64 m v))))
13.0ms	(*.f64 m (sqrt.f64 (/.f64 m v)))
6.0ms	(sqrt.f64 (/.f64 m v))
3.0ms	(sqrt.f64 (/.f64 m v))

series408.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(*.f64 m (sqrt.f64 (/.f64 m v)))
124.0ms	(sqrt.f64 (/.f64 m v))
104.0ms	(sqrt.f64 (/.f64 m v))
28.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 m (sqrt.f64 (/.f64 m v))))

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	1691
1	4955	1691

prune165.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Merged error: 0b

Counts

135 → 5

Compiler

Compiled 3449 to 1281 computations (62.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))
0.0b	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))

rewrite74.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
18×	`add-log-exp_binary64`
16×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`distribute-lft-out_binary64` `sum-log_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `associate-*r/_binary64` `frac-add_binary64` `associate-+l+_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r+_binary64`

Counts

4 → 113

Calls

4 calls:

24.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
12.0ms	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))
10.0ms	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series258.0ms (6%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
63.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
62.0ms	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
47.0ms	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5018	2918

prune171.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	125	5	130

Merged error: 0b

Counts

130 → 5

Compiler

Compiled 3513 to 1953 computations (44.4% saved)

regimes176.0ms (4.1%)

Compiler: Compiled 1350 to 1029 computations (23.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms (0%)

sample1.3s (31%)

Algorithm

1×

intervals

Results

382.0ms	8000×	body	128	valid
219.0ms	8049×	pre	128	true
2.0ms	49×	body	128	invalid

Compiler

Compiled 476 to 363 computations (23.7% saved)

Details

analyze306.0ms (7.1%)

sample33.0ms (0.8%)

simplify289.0ms (6.7%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite36.0ms (0.8%)

series166.0ms (3.9%)

simplify45.0ms (1%)

prune146.0ms (3.4%)

localize16.0ms (0.4%)

rewrite63.0ms (1.5%)

series153.0ms (3.6%)

simplify76.0ms (1.8%)

prune108.0ms (2.5%)

localize20.0ms (0.5%)

rewrite54.0ms (1.3%)

series408.0ms (9.5%)

simplify89.0ms (2.1%)

prune165.0ms (3.8%)

localize20.0ms (0.5%)

rewrite74.0ms (1.7%)

series258.0ms (6%)

simplify78.0ms (1.8%)

prune171.0ms (4%)

regimes176.0ms (4.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (31%)

Profiling