Details

analyze160.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	20
1	56	20
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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
0.0b	(+.f64 (.f64 x x) (.f64 x y))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_13740`
4×	`add-log-exp_binary64_13757` `pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753` `-un-lft-identity_binary64_13718` `associate-r*_binary64_13658`
3×	`associate-l_binary64_13659`
2×	`flip3-+_binary64_13721` `flip-+_binary64_13692` `distribute-lft-out_binary64_13669` `associate-*r/_binary64_13660`
1×	`sum-log_binary64_13809` `+-commutative_binary64_13648` `pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667` `*-commutative_binary64_13649`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 608 to 186 computations (69.4% saved)

series205.0ms (6.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

111.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
81.0ms	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 480 to 393 computations (18.1% saved)

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4981	610
1	4981	610

prune38.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 650 to 277 computations (57.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))
0.4b	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
0.5b	(*.f64 (+.f64 x y) (sqrt.f64 2))

rewrite98.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
13×	`add-sqr-sqrt_binary64_13740` `associate-l_binary64_13659`
11×	`*-un-lft-identity_binary64_13718`
10×	`pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751`
9×	`add-cube-cbrt_binary64_13753`
8×	`associate-r_binary64_13658`
7×	`sqrt-prod_binary64_13734`
6×	`associate-l/_binary64_13661` `associate-r/_binary64_13660`
3×	`add-log-exp_binary64_13757` `flip3-+_binary64_13721` `flip-+_binary64_13692` `*-commutative_binary64_13649`
2×	`unswap-sqr_binary64_13686`
1×	`distribute-lft-out_binary64_13669`

Counts

3 → 71

Calls

3 calls:

11.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 2))
8.0ms	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))

Compiler

Compiled 1317 to 847 computations (35.7% saved)

series437.0ms (14.5%)

Error

Counts

3 → 36

Calls

3 calls:

194.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (+.f64 x y) (sqrt.f64 2))))
120.0ms	(.f64 x (.f64 (+.f64 x y) (sqrt.f64 2)))
96.0ms	(*.f64 (+.f64 x y) (sqrt.f64 2))

Compiler

Compiled 1158 to 1046 computations (9.7% saved)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4960	1232
1	4960	1232

prune79.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 1379 to 831 computations (39.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 x (.f64 (*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
0.4b	(.f64 (sqrt.f64 2) (.f64 x (.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))

rewrite211.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
24×	`sqrt-prod_binary64_13734`
20×	`pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `add-sqr-sqrt_binary64_13740` `associate-r_binary64_13658`
16×	`*-un-lft-identity_binary64_13718`
14×	`add-cube-cbrt_binary64_13753` `associate-l/_binary64_13661` `associate-l*_binary64_13659`
6×	`associate-*r/_binary64_13660`
4×	`add-log-exp_binary64_13757` `flip3-+_binary64_13721` `flip-+_binary64_13692` `*-commutative_binary64_13649`
3×	`unswap-sqr_binary64_13686`
1×	`distribute-lft-out_binary64_13669`

Counts

4 → 107

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 2) (.f64 x (.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))
14.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
13.0ms	(.f64 x (.f64 (*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
9.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 2689 to 2001 computations (25.6% saved)

series569.0ms (18.9%)

Error

Counts

4 → 48

Calls

4 calls:

189.0ms	(.f64 (sqrt.f64 2) (.f64 x (.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))
134.0ms	(.f64 x (.f64 (*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))))
120.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2)))
88.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 1686 to 1532 computations (9.1% saved)

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5115	2059

prune137.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Error

Counts

157 → 2

Compiler

Compiled 2432 to 1719 computations (29.3% saved)

regimes102.0ms (3.4%)

Accuracy

Total 0.0b remaining (87.7%)

Threshold costs 0.0b (87.7%)

Compiler

Compiled 732 to 612 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample662.0ms (22%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
4.0ms	159×	body	128	invalid

Compiler

Compiled 189 to 160 computations (15.3% saved)

Details

analyze160.0ms (5.3%)

sample19.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite37.0ms (1.2%)

series205.0ms (6.8%)

simplify75.0ms (2.5%)

prune38.0ms (1.3%)

localize7.0ms (0.2%)

rewrite98.0ms (3.3%)

series437.0ms (14.5%)

simplify66.0ms (2.2%)

prune79.0ms (2.6%)

localize8.0ms (0.3%)

rewrite211.0ms (7%)

series569.0ms (18.9%)

simplify79.0ms (2.6%)

prune137.0ms (4.5%)

regimes102.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample662.0ms (22%)

Profiling