Details

analyze147.0ms (3.3%)

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)

sample37.0ms (0.8%)

Algorithm

1×

intervals

Results

24.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify181.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize25.0ms (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))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite245.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64_2828`
18×	`associate-*r/_binary64_2748`
17×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `*-un-lft-identity_binary64_2806`
16×	`add-cbrt-cube_binary64_2842`
13×	`associate-r_binary64_2746`
12×	`add-cube-cbrt_binary64_2841`
7×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
6×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `cancel-sign-sub-inv_binary64_2772`
5×	`associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `flip3-+_binary64_2809` `flip-+_binary64_2780` `frac-add_binary64_2814`
3×	`unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883` `flip3--_binary64_2810` `flip--_binary64_2781`
2×	`sub-neg_binary64_2799` `difference-of-squares_binary64_2775`
1×	`distribute-lft-out_binary64_2757` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `distribute-lft-out--_binary64_2758`

Counts

4 → 100

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
14.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3912 to 2021 computations (48.3% saved)

series617.0ms (13.9%)

Error

Counts

4 → 43

Calls

4 calls:

206.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
186.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
105.0ms	(.f64 (.f64 b b) (+.f64 3 a))
59.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3151 to 2238 computations (29% saved)

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4930	2303
1	4930	2303

prune237.0ms (5.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	1	144

Error

Counts

144 → 1

Compiler

Compiled 4797 to 2487 computations (48.2% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.5b	(.f64 a (.f64 a (*.f64 b b)))
0.7b	(.f64 a (.f64 b b))
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite249.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
16×	`add-sqr-sqrt_binary64_2828`
15×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-un-lft-identity_binary64_2806`
12×	`associate-r_binary64_2746`
10×	`add-cube-cbrt_binary64_2841`
8×	`associate-l_binary64_2747`
6×	`cancel-sign-sub-inv_binary64_2772`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`add-log-exp_binary64_2845` `associate-r/_binary64_2748` `-commutative_binary64_2737`
3×	`unswap-sqr_binary64_2774`
2×	`sub-neg_binary64_2799` `difference-of-squares_binary64_2775`
1×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758`

Counts

4 → 96

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series357.0ms (8%)

Error

Counts

4 → 26

Calls

4 calls:

109.0ms	(.f64 a (.f64 a (*.f64 b b)))
82.0ms	(.f64 (.f64 b b) (+.f64 3 a))
69.0ms	(.f64 a (.f64 b b))
55.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2701 to 1928 computations (28.6% saved)

simplify122.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4929	1219
1	4929	1219

prune288.0ms (6.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	1	123

Error

Counts

123 → 1

Compiler

Compiled 4819 to 2712 computations (43.7% saved)

regimes336.0ms (7.6%)

Accuracy

Total 0.0b remaining (75.1%)

Threshold costs 0.0b (75.1%)

Compiler

Compiled 3757 to 2556 computations (32% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	52
1	55	52

end0.0ms (0%)

sample1.5s (33.3%)

Algorithm

1×

intervals

Results

588.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 716 to 492 computations (31.3% saved)

Details

analyze147.0ms (3.3%)

sample37.0ms (0.8%)

simplify181.0ms (4.1%)

prune3.0ms (0.1%)

localize25.0ms (0.6%)

rewrite245.0ms (5.5%)

series617.0ms (13.9%)

simplify89.0ms (2%)

prune237.0ms (5.3%)

localize21.0ms (0.5%)

rewrite249.0ms (5.6%)

series357.0ms (8%)

simplify122.0ms (2.7%)

prune288.0ms (6.5%)

regimes336.0ms (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.5s (33.3%)

Profiling