Details

analyze128.0ms (3.5%)

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
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5070	43

prune3.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.1b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`associate-*r/_binary64`
17×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64`

Counts

4 → 100

Calls

4 calls:

16.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
10.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series243.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
69.0ms	(.f64 (.f64 a a) (-.f64 1 a))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
47.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4962	1932
1	4962	1932

prune422.0ms (11.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

Compiler

Compiled 5544 to 3033 computations (45.3% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
1.1b	(.f64 (.f64 b b) (+.f64 3 a))
3.2b	(.f64 (.f64 b b) (*.f64 a a))

rewrite64.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`pow1_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
14×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64`
6×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `frac-add_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`

Counts

4 → 111

Calls

4 calls:

16.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
13.0ms	(.f64 (.f64 a a) (-.f64 1 a))
11.0ms	(.f64 (.f64 b b) (*.f64 a a))
10.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series233.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 (.f64 a a) (-.f64 1 a))
70.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
45.0ms	(.f64 (.f64 b b) (*.f64 a a))
44.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4931	1841
1	4931	1841

prune242.0ms (6.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

Compiler

Compiled 5399 to 3111 computations (42.4% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(pow.f64 (*.f64 b a) 2)
1.1b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64`
18×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`add-cube-cbrt_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64`
7×	`cbrt-unprod_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `pow-pow_binary64` `difference-of-squares_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `distribute-lft-out--_binary64`

Counts

4 → 100

Calls

4 calls:

16.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
10.0ms	(.f64 (.f64 b b) (+.f64 3 a))
4.0ms	(pow.f64 (*.f64 b a) 2)

series234.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
65.0ms	(.f64 (.f64 a a) (-.f64 1 a))
54.0ms	(.f64 (.f64 b b) (+.f64 3 a))
42.0ms	(pow.f64 (*.f64 b a) 2)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5047	1742

prune224.0ms (6.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

Compiler

Compiled 4752 to 3040 computations (36% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 a (-.f64 a (.f64 a a)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.1b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
12×	`associate-r_binary64`
11×	`add-cube-cbrt_binary64`
7×	`associate-l_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `pow-exp_binary64`

Counts

4 → 94

Calls

4 calls:

12.0ms	(.f64 4 (+.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
7.0ms	(.f64 a (-.f64 a (.f64 a a)))

series248.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 a (-.f64 a (.f64 a a)))
66.0ms	(.f64 4 (+.f64 (.f64 a (-.f64 a (.f64 a a))) (.f64 (*.f64 b b) (+.f64 3 a))))
50.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
47.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5044	1901

prune142.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

Compiler

Compiled 3936 to 1807 computations (54.1% saved)

regimes43.0ms (1.2%)

Compiler: Compiled 357 to 249 computations (30.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	52
1	54	52

end0.0ms (0%)

sample806.0ms (22.1%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 159 to 113 computations (28.9% saved)

Details

analyze128.0ms (3.5%)

sample27.0ms (0.8%)

simplify76.0ms (2.1%)

prune3.0ms (0.1%)

localize16.0ms (0.4%)

rewrite56.0ms (1.5%)

series243.0ms (6.6%)

simplify62.0ms (1.7%)

prune422.0ms (11.5%)

localize22.0ms (0.6%)

rewrite64.0ms (1.8%)

series233.0ms (6.4%)

simplify83.0ms (2.3%)

prune242.0ms (6.6%)

localize22.0ms (0.6%)

rewrite53.0ms (1.4%)

series234.0ms (6.4%)

simplify80.0ms (2.2%)

prune224.0ms (6.1%)

localize16.0ms (0.4%)

rewrite49.0ms (1.3%)

series248.0ms (6.8%)

simplify59.0ms (1.6%)

prune142.0ms (3.9%)

regimes43.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample806.0ms (22.1%)

Profiling