Details

analyze68.0ms (2.9%)

Algorithm

1×

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify160.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1798`
4×	`*-un-lft-identity_binary64_1762` `sum-log_binary64_1850`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `add-sqr-sqrt_binary64_1783` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
1×	`distribute-lft-out_binary64_1715` `associate-+l+_binary64_1697`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

series73.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 (*.f64 x y) x)
29.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4995	394
1	4995	394

prune20.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

Compiler

Compiled 414 to 113 computations (72.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1790`
23×	`add-sqr-sqrt_binary64_1783`
18×	`cbrt-div_binary64_1791`
15×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
11×	`pow1_binary64_1820`
9×	`pow1/3_binary64_1841` `flip3-+_binary64_1765` `flip-+_binary64_1736`
6×	`swap-sqr_binary64_1729` `add-exp-log_binary64_1797` `associate-l_binary64_1705` `associate-r_binary64_1704`
4×	`frac-times_binary64_1772` `unswap-sqr_binary64_1730` `add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795`
2×	`pow-sqr_binary64_1735` `pow-prod-down_binary64_1830` `pow-prod-up_binary64_1829` `associate-l/_binary64_1707` `associate-r/_binary64_1706`
1×	`prod-exp_binary64_1808` `pow-plus_binary64_1822` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `pow2_binary64_1840`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series505.0ms (21.3%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
122.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
116.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
109.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify85.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4953	1906
1	4953	1906

prune93.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

Compiler

Compiled 2853 to 630 computations (77.9% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (+.f64 x (*.f64 x y)) 3)
1.6b	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
3.3b	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
38.5b	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))

rewrite66.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`*-un-lft-identity_binary64_1762`
27×	`times-frac_binary64_1768`
25×	`distribute-lft-out_binary64_1715`
23×	`cube-prod_binary64_1787` `unpow-prod-down_binary64_1838`
21×	`add-sqr-sqrt_binary64_1783` `add-cube-cbrt_binary64_1794`
9×	`associate-/l*_binary64_1709`
8×	`add-log-exp_binary64_1798`
7×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
5×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `sum-cubes_binary64_1763` `pow1_binary64_1820`
4×	`associate-+r+_binary64_1696`
3×	`associate-/r*_binary64_1708` `pow-unpow_binary64_1836`
2×	`associate-/r/_binary64_1710` `associate-/l/_binary64_1711` `cube-div_binary64_1788` `+-commutative_binary64_1694` `distribute-rgt-in_binary64_1714` `sub-neg_binary64_1755` `distribute-lft-in_binary64_1713` `associate--l+_binary64_1701` `sum-log_binary64_1850`
1×	`frac-2neg_binary64_1773` `cube-mult_binary64_1789` `rem-cube-cbrt_binary64_1784` `sqr-pow_binary64_1734` `clear-num_binary64_1761` `div-inv_binary64_1759` `unpow3_binary64_1825` `pow-exp_binary64_1827` `cbrt-undiv_binary64_1793` `div-exp_binary64_1810` `pow-pow_binary64_1831` `pow-to-exp_binary64_1828`

Counts

4 → 112

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))
14.0ms	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
7.0ms	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
4.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)

series499.0ms (21%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))
120.0ms	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
79.0ms	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
58.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5008	4914

prune157.0ms (6.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0.0b

Counts

127 → 3

Compiler

Compiled 5097 to 1222 computations (76% saved)

regimes32.0ms (1.3%)

Compiler: Compiled 192 to 99 computations (48.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample404.0ms (17%)

Algorithm

1×

intervals

Results

186.0ms	7999×	body	128	valid
2.0ms	74×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 73 to 40 computations (45.2% saved)

Details

analyze68.0ms (2.9%)

sample12.0ms (0.5%)

simplify160.0ms (6.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite13.0ms (0.6%)

series73.0ms (3.1%)

simplify56.0ms (2.3%)

prune20.0ms (0.8%)

localize9.0ms (0.4%)

rewrite28.0ms (1.2%)

series505.0ms (21.3%)

simplify85.0ms (3.6%)

prune93.0ms (3.9%)

localize14.0ms (0.6%)

rewrite66.0ms (2.8%)

series499.0ms (21%)

simplify70.0ms (2.9%)

prune157.0ms (6.6%)

regimes32.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample404.0ms (17%)

Profiling