Details

analyze277.0ms (12.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	699	52
1	699	52
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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample24.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	321	13
1	321	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0.0b	(/.f64 (*.f64 x y) 2)

rewrite64.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_1805`
13×	`times-frac_binary64_1789` `*-un-lft-identity_binary64_1783` `cancel-sign-sub-inv_binary64_1749`
11×	`add-cube-cbrt_binary64_1818`
7×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822`
3×	`associate-/r*_binary64_1727`
2×	`pow1_binary64_1844` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `difference-of-squares_binary64_1752`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l*_binary64_1728` `diff-log_binary64_1875` `frac-sub_binary64_1792` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`

Counts

2 → 49

Calls

2 calls:

11.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 820 to 532 computations (35.1% saved)

series208.0ms (9.1%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

140.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
55.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 479 to 417 computations (12.9% saved)

simplify79.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4975	780
1	4975	780

prune52.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 817 to 505 computations (38.2% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
0.0b	(.f64 1/2 (.f64 x y))
0.3b	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
32.0b	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))

rewrite136.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_1805`
16×	`*-un-lft-identity_binary64_1783`
15×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`add-cube-cbrt_binary64_1818`
13×	`cancel-sign-sub-inv_binary64_1749`
12×	`cbrt-prod_binary64_1814` `times-frac_binary64_1789`
6×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `difference-of-squares_binary64_1752`
4×	`sqr-pow_binary64_1755`
3×	`pow-unpow_binary64_1860` `pow-pow_binary64_1855` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `associate-l_binary64_1724`
2×	`unpow-prod-down_binary64_1862` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-to-exp_binary64_1852` `associate-r_binary64_1723` `*-commutative_binary64_1714` `diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `div-inv_binary64_1780` `distribute-lft-out--_binary64_1735`

Counts

4 → 91

Calls

4 calls:

14.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
5.0ms	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
5.0ms	(.f64 1/2 (.f64 x y))
3.0ms	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))

Compiler

Compiled 1846 to 1273 computations (31% saved)

series408.0ms (17.9%)

Error

Counts

4 → 36

Calls

4 calls:

155.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
105.0ms	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
70.0ms	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))
56.0ms	(.f64 1/2 (.f64 x y))

Compiler

Compiled 989 to 891 computations (9.9% saved)

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4875	1440
1	4875	1440

prune101.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 1770 to 1170 computations (33.9% saved)

regimes122.0ms (5.4%)

Accuracy

Total 0.0b remaining (82.9%)

Threshold costs 0.0b (82.9%)

Compiler

Compiled 718 to 717 computations (0.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

Remove

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

end0.0ms (0%)

sample683.0ms (30%)

Algorithm

1×

intervals

Results

250.0ms	7999×	body	128	valid
15.0ms	528×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 115 to 115 computations (0% saved)

Details

analyze277.0ms (12.2%)

sample24.0ms (1.1%)

simplify20.0ms (0.9%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite64.0ms (2.8%)

series208.0ms (9.1%)

simplify79.0ms (3.5%)

prune52.0ms (2.3%)

localize10.0ms (0.5%)

rewrite136.0ms (6%)

series408.0ms (17.9%)

simplify78.0ms (3.4%)

prune101.0ms (4.4%)

regimes122.0ms (5.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

end0.0ms (0%)

sample683.0ms (30%)

Profiling