Details

analyze1.0s (4.5%)

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)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms	234×	body	128	valid
2.0ms	12×	body	512	valid
1.0ms	22×	body	128	invalid
1.0ms	5×	body	1024	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify420.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (407.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune6.0ms (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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(-.f64 2/3 z)
0.0b	(*.f64 (-.f64 y x) 6)
0.5b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite246.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_7261`
18×	`*-un-lft-identity_binary64_7239`
15×	`cancel-sign-sub-inv_binary64_7205`
12×	`add-cube-cbrt_binary64_7274`
11×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
10×	`associate-*l/_binary64_7182`
8×	`add-log-exp_binary64_7278` `flip3--_binary64_7243` `flip--_binary64_7214` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate-r_binary64_7179` `associate-+r+_binary64_7171`
6×	`associate-l_binary64_7180`
5×	`sub-neg_binary64_7232`
4×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `frac-times_binary64_7249`
3×	`difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191`
2×	`associate-r/_binary64_7181` `-commutative_binary64_7170`
1×	`unswap-sqr_binary64_7207` `diff-log_binary64_7331` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`

Counts

4 → 93

Calls

4 calls:

21.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
12.0ms	(*.f64 (-.f64 y x) 6)
8.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
7.0ms	(-.f64 2/3 z)

Compiler

Compiled 1844 to 1039 computations (43.7% saved)

series1.0s (4.7%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

487.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
332.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
103.0ms	(*.f64 (-.f64 y x) 6)
33.0ms	(-.f64 2/3 z)

Compiler

Compiled 1895 to 1477 computations (22.1% saved)

simplify188.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4946	1915
1	4946	1915

prune241.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

0.0b

Counts

148 → 8

Compiler

Compiled 2316 to 1329 computations (42.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite279.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188`
30×	`cancel-sign-sub-inv_binary64_7205`
21×	`add-sqr-sqrt_binary64_7261`
19×	`*-un-lft-identity_binary64_7239`
17×	`add-cube-cbrt_binary64_7274`
16×	`associate-+l+_binary64_7172`
11×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275`
10×	`sub-neg_binary64_7232`
6×	`associate-r/_binary64_7181` `associate-l_binary64_7180` `associate-r*_binary64_7179`
4×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `sum-log_binary64_7330`
2×	`flip3--_binary64_7243` `flip--_binary64_7214` `*-commutative_binary64_7170` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`
1×	`unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `associate-+r+_binary64_7171`

Counts

4 → 106

Calls

4 calls:

20.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
18.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
17.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
14.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2504 to 1352 computations (46% saved)

series1.4s (6.3%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

460.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
429.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
232.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
194.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2626 to 2018 computations (23.2% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	2317
1	4972	2317

prune274.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	172	8	180

Error

0.0b

Counts

180 → 8

Compiler

Compiled 3162 to 1812 computations (42.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite129.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_7261`
7×	`add-log-exp_binary64_7278` `flip3--_binary64_7243` `flip--_binary64_7214` `*-un-lft-identity_binary64_7239`
5×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `sub-neg_binary64_7232` `cancel-sign-sub-inv_binary64_7205` `associate-l_binary64_7180`
4×	`frac-times_binary64_7249` `distribute-rgt-in_binary64_7189` `distribute-lft-in_binary64_7188` `associate-+r+_binary64_7171`
3×	`associate-r_binary64_7179`
2×	`associate-l/_binary64_7182` `associate-r/_binary64_7181`
1×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `difference-of-squares_binary64_7208` `distribute-lft-out--_binary64_7191` `*-commutative_binary64_7170` `diff-log_binary64_7331` `sum-log_binary64_7330` `flip3-+_binary64_7242` `flip-+_binary64_7213` `+-commutative_binary64_7169`

Counts

3 → 59

Calls

3 calls:

18.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
7.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
5.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1245 to 753 computations (39.5% saved)

series922.0ms (4.1%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

495.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
314.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
57.0ms	(-.f64 4 (*.f64 z 6))

Compiler

Compiled 1553 to 1189 computations (23.4% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4966	1678
1	4966	1678

prune155.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 1739 to 1021 computations (41.3% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

rewrite445.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7270`
23×	`add-sqr-sqrt_binary64_7261`
18×	`cbrt-div_binary64_7271`
15×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
11×	`pow1_binary64_7300`
9×	`pow1/3_binary64_7321` `flip3-+_binary64_7242` `flip-+_binary64_7213`
6×	`add-exp-log_binary64_7277` `swap-sqr_binary64_7206` `associate-l_binary64_7180` `associate-r_binary64_7179`
4×	`add-log-exp_binary64_7278` `add-cbrt-cube_binary64_7275` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
2×	`pow-prod-down_binary64_7310` `pow-prod-up_binary64_7309` `pow-sqr_binary64_7212` `associate-l/_binary64_7182` `associate-r/_binary64_7181`
1×	`pow2_binary64_7320` `pow-plus_binary64_7302` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `*-commutative_binary64_7170`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
6.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
5.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
5.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 4856 to 3013 computations (38% saved)

series8.7s (39.1%)

Error

0.0b

Counts

4 → 73

Calls

4 calls:

4.4s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x))))) (cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 y x))))))
1.3s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 20796 to 16504 computations (20.6% saved)

simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5602	8981

prune936.0ms (4.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	1	3	4
Picked	1	0	1
Done	0	3	3
Total	159	9	168

Error

0.0b

Counts

168 → 9

Compiler

Compiled 9728 to 6450 computations (33.7% saved)

regimes1.3s (5.6%)

Accuracy

Total 0.1b remaining (88.3%)

Threshold costs 0.1b (88.3%)

Compiler

Compiled 7971 to 6350 computations (20.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms (0%)

sample4.1s (18.5%)

Algorithm

1×

intervals

Results

526.0ms	7322×	body	128	valid
66.0ms	246×	body	1024	valid
58.0ms	264×	body	512	valid
47.0ms	602×	body	128	invalid
27.0ms	168×	body	256	valid

Compiler

Compiled 1606 to 1278 computations (20.4% saved)

Details

analyze1.0s (4.5%)

sample40.0ms (0.2%)

simplify420.0ms (1.9%)

prune6.0ms (0%)

localize15.0ms (0.1%)

rewrite246.0ms (1.1%)

series1.0s (4.7%)

simplify188.0ms (0.8%)

prune241.0ms (1.1%)

localize20.0ms (0.1%)

rewrite279.0ms (1.2%)

series1.4s (6.3%)

simplify93.0ms (0.4%)

prune274.0ms (1.2%)

localize15.0ms (0.1%)

rewrite129.0ms (0.6%)

series922.0ms (4.1%)

simplify115.0ms (0.5%)

prune155.0ms (0.7%)

localize30.0ms (0.1%)

rewrite445.0ms (2%)

series8.7s (39.1%)

simplify171.0ms (0.8%)

prune936.0ms (4.2%)

regimes1.3s (5.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.1s (18.5%)

Profiling