Details

analyze573.0ms (3.8%)

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)

sample22.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	234×	body	128	valid
1.0ms	9×	body	1024	valid
1.0ms	20×	body	128	invalid
1.0ms	6×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify231.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

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

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite132.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_11012`
18×	`*-un-lft-identity_binary64_10990`
15×	`cancel-sign-sub-inv_binary64_10956`
12×	`add-cube-cbrt_binary64_11025`
11×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
10×	`associate-*l/_binary64_10933`
8×	`add-log-exp_binary64_11029` `flip3--_binary64_10994` `flip--_binary64_10965` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-r_binary64_10930` `associate-+r+_binary64_10922`
6×	`associate-l_binary64_10931`
5×	`sub-neg_binary64_10983`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `frac-times_binary64_11000`
3×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
2×	`associate-r/_binary64_10932` `-commutative_binary64_10921`
1×	`unswap-sqr_binary64_10958` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `diff-log_binary64_11082`

Counts

4 → 93

Calls

4 calls:

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

series569.0ms (3.7%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

255.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
188.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
66.0ms	(*.f64 (-.f64 y x) 6)
17.0ms	(-.f64 2/3 z)

Compiler

Compiled 1895 to 1477 computations (22.1% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4946	1915
1	4946	1915

prune132.0ms (0.9%)

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 2350 to 1355 computations (42.3% saved)

localize10.0ms (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 z (-.f64 y x))
0.0b	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite162.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
30×	`cancel-sign-sub-inv_binary64_10956`
21×	`add-sqr-sqrt_binary64_11012`
19×	`*-un-lft-identity_binary64_10990`
17×	`add-cube-cbrt_binary64_11025`
16×	`associate-+l+_binary64_10923`
11×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026`
10×	`sub-neg_binary64_10983`
6×	`associate-r/_binary64_10932` `associate-l_binary64_10931` `associate-r*_binary64_10930`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `sum-log_binary64_11081`
2×	`flip3--_binary64_10994` `flip--_binary64_10965` `*-commutative_binary64_10921` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920`
1×	`associate-+r+_binary64_10922` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`

Counts

4 → 106

Calls

4 calls:

13.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
11.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
9.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
8.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2504 to 1352 computations (46% saved)

series768.0ms (5%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

260.0ms	(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (.f64 x -3)))
224.0ms	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 x -3))
139.0ms	(.f64 -6 (.f64 z (-.f64 y x)))
98.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2626 to 2018 computations (23.2% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4972	2317
1	4972	2317

prune151.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	171	10	181

Error

0.0b

Counts

181 → 10

Compiler

Compiled 3210 to 1851 computations (42.3% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

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

rewrite74.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_11012`
7×	`add-log-exp_binary64_11029` `flip3--_binary64_10994` `flip--_binary64_10965` `*-un-lft-identity_binary64_10990`
5×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `add-cube-cbrt_binary64_11025` `sub-neg_binary64_10983` `cancel-sign-sub-inv_binary64_10956` `associate-l_binary64_10931`
4×	`frac-times_binary64_11000` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-+r+_binary64_10922`
3×	`associate-r_binary64_10930`
2×	`associate-l/_binary64_10933` `associate-r/_binary64_10932`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `diff-log_binary64_11082`

Counts

3 → 59

Calls

3 calls:

9.0ms	(.f64 (-.f64 y x) (-.f64 4 (.f64 z 6)))
4.0ms	(+.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)

series491.0ms (3.2%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

255.0ms	(+.f64 x (.f64 (-.f64 y x) (-.f64 4 (.f64 z 6))))
178.0ms	(.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)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4966	1678
1	4966	1678

prune88.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	101	10	111

Error

0.0b

Counts

111 → 10

Compiler

Compiled 1787 to 1060 computations (40.7% saved)

localize13.0ms (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)))))

rewrite243.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_11021`
23×	`add-sqr-sqrt_binary64_11012`
18×	`cbrt-div_binary64_11022`
15×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
11×	`pow1_binary64_11051`
9×	`pow1/3_binary64_11072` `flip3-+_binary64_10993` `flip-+_binary64_10964`
6×	`add-exp-log_binary64_11028` `swap-sqr_binary64_10957` `associate-l_binary64_10931` `associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `frac-times_binary64_11000` `unswap-sqr_binary64_10958`
2×	`pow-prod-down_binary64_11061` `pow-prod-up_binary64_11060` `pow-sqr_binary64_10963` `associate-l/_binary64_10933` `associate-r/_binary64_10932`
1×	`pow2_binary64_11071` `pow-plus_binary64_11053` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.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))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 4856 to 3013 computations (38% saved)

series7.5s (49.2%)

Error

0.0b

Counts

4 → 95

Calls

4 calls:

3.6s	(.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))))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
998.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))
990.0ms	(cbrt.f64 (+.f64 x (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 y x)))))

Compiler

Compiled 31956 to 25401 computations (20.5% saved)

simplify156.0ms (1%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5001	17302

prune975.0ms (6.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	182	10	192

Error

0.0b

Counts

192 → 10

Compiler

Compiled 15647 to 10511 computations (32.8% saved)

regimes655.0ms (4.3%)

Accuracy

Total 0.1b remaining (86%)

Threshold costs 0.1b (86%)

Compiler

Compiled 7751 to 6155 computations (20.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	98	28
1	98	28

end0.0ms (0%)

sample2.1s (13.6%)

Algorithm

1×

intervals

Results

275.0ms	7324×	body	128	valid
34.0ms	259×	body	1024	valid
28.0ms	251×	body	512	valid
21.0ms	588×	body	128	invalid
11.0ms	166×	body	256	valid

Compiler

Compiled 1566 to 1242 computations (20.7% saved)

Details

analyze573.0ms (3.8%)

sample22.0ms (0.1%)

simplify231.0ms (1.5%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite132.0ms (0.9%)

series569.0ms (3.7%)

simplify96.0ms (0.6%)

prune132.0ms (0.9%)

localize10.0ms (0.1%)

rewrite162.0ms (1.1%)

series768.0ms (5%)

simplify50.0ms (0.3%)

prune151.0ms (1%)

localize7.0ms (0%)

rewrite74.0ms (0.5%)

series491.0ms (3.2%)

simplify59.0ms (0.4%)

prune88.0ms (0.6%)

localize13.0ms (0.1%)

rewrite243.0ms (1.6%)

series7.5s (49.2%)

simplify156.0ms (1%)

prune975.0ms (6.4%)

regimes655.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (13.6%)

Profiling