Details

analyze335.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5029	46

prune6.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 3 a))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite175.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
14×	`add-cbrt-cube_binary64_2842`
10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`add-cube-cbrt_binary64_2841`
7×	`associate-r_binary64_2746`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839`
4×	`associate-*r/_binary64_2748`
3×	`sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`unswap-sqr_binary64_2774` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747` `*-commutative_binary64_2737`
1×	`pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `diff-log_binary64_2898`

Counts

4 → 79

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 3034 to 1663 computations (45.2% saved)

series586.0ms (12%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

274.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
149.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
70.0ms	(.f64 (.f64 a a) (+.f64 1 a))
37.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 2926 to 2053 computations (29.8% saved)

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5226	1496

prune187.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	2	117

Error

0.0b

Counts

117 → 2

Compiler

Compiled 4004 to 2172 computations (45.8% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.9b	(.f64 a (.f64 a (*.f64 b b)))
1.0b	(.f64 a (.f64 b b))

rewrite234.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
15×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
11×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806`
9×	`associate-r_binary64_2746`
8×	`add-cube-cbrt_binary64_2841` `associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `-commutative_binary64_2737` `associate-r/_binary64_2748`
3×	`unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
2×	`sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 a (.f64 b b))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series472.0ms (9.6%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

138.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
109.0ms	(.f64 a (.f64 a (*.f64 b b)))
103.0ms	(.f64 a (.f64 b b))
71.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5115	1236

prune236.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	115	2	117

Error

0.0b

Counts

117 → 2

Compiler

Compiled 4823 to 2825 computations (41.4% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 (.f64 a b) b)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.9b	(.f64 a (.f64 (*.f64 a b) b))

rewrite221.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
15×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
11×	`associate-r_binary64_2746`
10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`add-cube-cbrt_binary64_2841`
6×	`associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `-commutative_binary64_2737` `associate-r/_binary64_2748`
3×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
2×	`unswap-sqr_binary64_2774` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757`

Counts

4 → 88

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(.f64 a (.f64 (*.f64 a b) b))
5.0ms	(.f64 (.f64 a b) b)

Compiler

Compiled 4024 to 2307 computations (42.7% saved)

series460.0ms (9.4%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

146.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
112.0ms	(.f64 a (.f64 (*.f64 a b) b))
90.0ms	(.f64 (.f64 a b) b)
66.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2054 computations (27.1% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5031	1188

prune236.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Error

0.0b

Counts

116 → 2

Compiler

Compiled 4713 to 2805 computations (40.5% saved)

regimes237.0ms (4.8%)

Accuracy

Total 0.0b remaining (68.9%)

Threshold costs 0.0b (68.9%)

Compiler

Compiled 3249 to 2195 computations (32.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	49
1	43	49

end0.0ms (0%)

sample1.2s (23.5%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 634 to 435 computations (31.4% saved)

Details

analyze335.0ms (6.8%)

sample27.0ms (0.5%)

simplify58.0ms (1.2%)

prune6.0ms (0.1%)

localize16.0ms (0.3%)

rewrite175.0ms (3.6%)

series586.0ms (12%)

simplify81.0ms (1.7%)

prune187.0ms (3.8%)

localize21.0ms (0.4%)

rewrite234.0ms (4.8%)

series472.0ms (9.6%)

simplify62.0ms (1.3%)

prune236.0ms (4.8%)

localize25.0ms (0.5%)

rewrite221.0ms (4.5%)

series460.0ms (9.4%)

simplify64.0ms (1.3%)

prune236.0ms (4.8%)

regimes237.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (23.5%)

Profiling