Details

analyze258.0ms (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)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
6.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify263.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5013	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: 0.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite51.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series135.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
45.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
29.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5421	1666

prune101.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0b

Counts

83 → 6

Compiler

Compiled 1792 to 1259 computations (29.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite127.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64`
177×	`add-sqr-sqrt_binary64`
143×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
19×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`sub-neg_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 217

Calls

4 calls:

42.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
39.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
13.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
7.0ms	(/.f64 v (-.f64 1 m))

series178.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 v (-.f64 1 m))
48.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
43.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
35.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4980	4870
1	4980	4870

prune261.0ms (7.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	229	6	235

Merged error: 0b

Counts

235 → 6

Compiler

Compiled 5178 to 3259 computations (37.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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 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))

rewrite62.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-cube-cbrt_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` `div-inv_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_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` `associate-+l+_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r+_binary64`

Counts

4 → 110

Calls

4 calls:

23.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.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 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series189.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
50.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
49.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
36.0ms	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4971	2870
1	4971	2870

prune147.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

Compiler

Compiled 3534 to 1987 computations (43.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

rewrite77.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
14×	`associate-r_binary64`
12×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
11×	`pow1_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 124

Calls

4 calls:

27.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series242.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
77.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
45.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
31.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5031	4003

prune177.0ms (4.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	136	6	142

Merged error: 0b

Counts

142 → 6

Compiler

Compiled 4014 to 2533 computations (36.9% saved)

regimes96.0ms (2.6%)

Compiler: Compiled 942 to 741 computations (21.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms (0%)

sample942.0ms (25.8%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
174.0ms	8064×	pre	128	true
2.0ms	64×	body	128	invalid

Compiler

Compiled 340 to 268 computations (21.2% saved)

Details

analyze258.0ms (7.1%)

sample27.0ms (0.7%)

simplify263.0ms (7.2%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite51.0ms (1.4%)

series135.0ms (3.7%)

simplify58.0ms (1.6%)

prune101.0ms (2.8%)

localize7.0ms (0.2%)

rewrite127.0ms (3.5%)

series178.0ms (4.9%)

simplify88.0ms (2.4%)

prune261.0ms (7.2%)

localize16.0ms (0.4%)

rewrite62.0ms (1.7%)

series189.0ms (5.2%)

simplify56.0ms (1.5%)

prune147.0ms (4%)

localize12.0ms (0.3%)

rewrite77.0ms (2.1%)

series242.0ms (6.6%)

simplify62.0ms (1.7%)

prune177.0ms (4.9%)

regimes96.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample942.0ms (25.8%)

Profiling