Details

analyze570.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4905	64
1	4905	64
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	241×	body	128	valid
1.0ms	6×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	14×	body	128	invalid
0.0ms	3×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify228.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (221.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite137.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

20×	`add-sqr-sqrt_binary64_7602`
18×	`*-un-lft-identity_binary64_7580`
15×	`cancel-sign-sub-inv_binary64_7546`
12×	`add-cube-cbrt_binary64_7615`
11×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
10×	`associate-*l/_binary64_7523`
8×	`add-log-exp_binary64_7619` `flip3--_binary64_7584` `flip--_binary64_7555` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `associate-r_binary64_7520` `associate-+r+_binary64_7512`
6×	`associate-l_binary64_7521`
5×	`sub-neg_binary64_7573`
4×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `frac-times_binary64_7590`
3×	`difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532`
2×	`associate-r/_binary64_7522` `-commutative_binary64_7511`
1×	`sum-log_binary64_7671` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510` `unswap-sqr_binary64_7548` `diff-log_binary64_7672`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
7.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

Compiler

Compiled 1844 to 1039 computations (43.7% saved)

series598.0ms (7.6%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

286.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
192.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
60.0ms	(*.f64 (-.f64 y x) 6)
17.0ms	(-.f64 2/3 z)

Compiler

Compiled 1895 to 1477 computations (22.1% saved)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4946	1915
1	4946	1915

prune136.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	139	8	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	9	148

Error

0.0b

Counts

148 → 9

Compiler

Compiled 2309 to 1330 computations (42.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 y x))
0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite153.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529`
30×	`cancel-sign-sub-inv_binary64_7546`
21×	`add-sqr-sqrt_binary64_7602`
19×	`*-un-lft-identity_binary64_7580`
17×	`add-cube-cbrt_binary64_7615`
16×	`associate-+l+_binary64_7513`
11×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616`
10×	`sub-neg_binary64_7573`
6×	`associate-r/_binary64_7522` `associate-l_binary64_7521` `associate-r*_binary64_7520`
4×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `sum-log_binary64_7671`
2×	`flip3--_binary64_7584` `flip--_binary64_7555` `*-commutative_binary64_7511` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510`
1×	`associate-+r+_binary64_7512` `unswap-sqr_binary64_7548` `difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532`

Counts

4 → 106

Calls

4 calls:

11.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
10.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
9.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
7.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2504 to 1352 computations (46% saved)

series784.0ms (10%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

262.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
231.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
140.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
98.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2626 to 2018 computations (23.2% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4972	2317
1	4972	2317

prune158.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	172	9	181

Error

0.0b

Counts

181 → 9

Compiler

Compiled 3138 to 1807 computations (42.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (*.f64 z 6))
0.1b	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
0.2b	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))

rewrite80.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_7602`
7×	`add-log-exp_binary64_7619` `*-un-lft-identity_binary64_7580` `flip3--_binary64_7584` `flip--_binary64_7555`
5×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `sub-neg_binary64_7573` `cancel-sign-sub-inv_binary64_7546` `associate-l_binary64_7521`
4×	`distribute-rgt-in_binary64_7530` `associate-+r+_binary64_7512` `distribute-lft-in_binary64_7529` `frac-times_binary64_7590`
3×	`associate-r_binary64_7520`
2×	`associate-l/_binary64_7523` `associate-r/_binary64_7522`
1×	`sum-log_binary64_7671` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510` `pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532` `*-commutative_binary64_7511` `diff-log_binary64_7672`

Counts

3 → 59

Calls

3 calls:

9.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
5.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
3.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1245 to 753 computations (39.5% saved)

series515.0ms (6.6%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

269.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
186.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
31.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1553 to 1189 computations (23.4% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4966	1678
1	4966	1678

prune85.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	101	9	110

Error

0.0b

Counts

110 → 9

Compiler

Compiled 1717 to 1014 computations (40.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 4 (*.f64 6 z))
0.0b	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x)))))
0.1b	(.f64 (-.f64 4 (.f64 6 z)) (sqrt.f64 (-.f64 y x)))
0.3b	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x))))

rewrite181.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`sqrt-div_binary64_7597`
34×	`flip3--_binary64_7584` `flip--_binary64_7555`
32×	`frac-times_binary64_7590`
17×	`add-sqr-sqrt_binary64_7602`
16×	`associate-*r/_binary64_7522`
13×	`*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `associate-l_binary64_7521` `sqrt-prod_binary64_7596`
10×	`associate-*l/_binary64_7523`
9×	`add-cube-cbrt_binary64_7615` `associate-r_binary64_7520`
8×	`add-log-exp_binary64_7619`
4×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613`
2×	`difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532` `*-commutative_binary64_7511` `unswap-sqr_binary64_7548`
1×	`sum-log_binary64_7671` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510` `diff-log_binary64_7672` `sub-neg_binary64_7573` `cancel-sign-sub-inv_binary64_7546`

Counts

4 → 104

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x))))
11.0ms	(.f64 (-.f64 4 (.f64 6 z)) (sqrt.f64 (-.f64 y x)))
4.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x)))))
3.0ms	(-.f64 4 (*.f64 6 z))

Compiler

Compiled 3441 to 1651 computations (52% saved)

series702.0ms (9%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

261.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x)))))
187.0ms	(.f64 (-.f64 4 (.f64 6 z)) (sqrt.f64 (-.f64 y x)))
172.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (-.f64 4 (*.f64 6 z)) (sqrt.f64 (-.f64 y x))))
33.0ms	(-.f64 4 (*.f64 6 z))

Compiler

Compiled 3111 to 2151 computations (30.9% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4971	3866
1	4971	3866

prune167.0ms (2.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	162	9	171

Error

0.0b

Counts

171 → 9

Compiler

Compiled 3787 to 1907 computations (49.6% saved)

regimes916.0ms (11.7%)

Accuracy

Total 0.1b remaining (83.3%)

Threshold costs 0.1b (83.3%)

Compiler

Compiled 8304 to 6739 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms (0%)

sample2.1s (26.5%)

Algorithm

1×

intervals

Results

277.0ms	7331×	body	128	valid
35.0ms	233×	body	1024	valid
26.0ms	614×	body	128	invalid
25.0ms	247×	body	512	valid
13.0ms	189×	body	256	valid

Compiler

Compiled 1670 to 1354 computations (18.9% saved)

Details

analyze570.0ms (7.3%)

sample21.0ms (0.3%)

simplify228.0ms (2.9%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite137.0ms (1.8%)

series598.0ms (7.6%)

simplify94.0ms (1.2%)

prune136.0ms (1.7%)

localize11.0ms (0.1%)

rewrite153.0ms (2%)

series784.0ms (10%)

simplify51.0ms (0.7%)

prune158.0ms (2%)

localize7.0ms (0.1%)

rewrite80.0ms (1%)

series515.0ms (6.6%)

simplify64.0ms (0.8%)

prune85.0ms (1.1%)

localize10.0ms (0.1%)

rewrite181.0ms (2.3%)

series702.0ms (9%)

simplify68.0ms (0.9%)

prune167.0ms (2.1%)

regimes916.0ms (11.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (26.5%)

Profiling