Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	57×	body	512	valid
4.0ms	150×	body	128	valid
2.0ms	44×	body	256	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify163.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

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: 15.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
4.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite58.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_1762`
72×	`add-sqr-sqrt_binary64_1783`
69×	`times-frac_binary64_1768`
32×	`add-cube-cbrt_binary64_1794`
27×	`distribute-lft-out--_binary64_1716`
17×	`difference-of-squares_binary64_1731`
11×	`associate-/r*_binary64_1708` `add-exp-log_binary64_1797`
10×	`distribute-lft-out_binary64_1715`
7×	`add-cbrt-cube_binary64_1795`
6×	`associate-/r/_binary64_1710` `div-inv_binary64_1759` `associate-/l*_binary64_1709`
5×	`add-log-exp_binary64_1798` `pow1_binary64_1820`
4×	`difference-of-sqr-1_binary64_1732` `div-exp_binary64_1810`
3×	`flip--_binary64_1737`
2×	`flip3--_binary64_1766` `frac-2neg_binary64_1773` `inv-pow_binary64_1844` `clear-num_binary64_1761` `flip-+_binary64_1736` `pow-flip_binary64_1833` `cbrt-undiv_binary64_1793` `1-exp_binary64_1803` `rec-exp_binary64_1809`
1×	`diff-log_binary64_1851` `flip3-+_binary64_1765` `frac-sub_binary64_1771` `sub-neg_binary64_1755`

Counts

3 → 124

Calls

3 calls:

34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

series104.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
18.0ms	(/.f64 1 (-.f64 x 1))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify68.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4849	2118
1	4849	2118

prune136.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	2	134

Merged error: 0.2b

Counts

134 → 2

Compiler

Compiled 2322 to 1914 computations (17.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_1768` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
3×	`associate-/r_binary64_1708` `associate-/l_binary64_1709` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
2×	`associate-/r/_binary64_1710`
1×	`frac-2neg_binary64_1773` `flip3-+_binary64_1765` `clear-num_binary64_1761` `flip-+_binary64_1736` `div-inv_binary64_1759` `cbrt-undiv_binary64_1793` `add-log-exp_binary64_1798` `div-exp_binary64_1810` `pow1_binary64_1820`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series42.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5270	557

prune32.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	30	4	34

Merged error: 0.1b

Counts

34 → 4

Compiler

Compiled 515 to 351 computations (31.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1791`
9×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `cbrt-prod_binary64_1790` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-exp-log_binary64_1797`
8×	`associate-/r/_binary64_1710`
7×	`add-cbrt-cube_binary64_1795`
4×	`frac-times_binary64_1772` `add-log-exp_binary64_1798` `pow1_binary64_1820`
3×	`times-frac_binary64_1768` `pow1/3_binary64_1841` `associate-/l*_binary64_1709`
2×	`associate-l/_binary64_1707` `cbrt-undiv_binary64_1793` `div-exp_binary64_1810` `associate-r/_binary64_1706`
1×	`frac-2neg_binary64_1773` `prod-exp_binary64_1808` `clear-num_binary64_1761` `associate-/r*_binary64_1708` `div-inv_binary64_1759` `cbrt-unprod_binary64_1792`

Counts

4 → 68

Calls

4 calls:

13.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series392.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
94.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
89.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
82.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5069	1523

prune115.0ms (4.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.1b

Counts

84 → 4

Compiler

Compiled 2336 to 1540 computations (34.1% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x x))
0.2b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
21.0b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite46.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_1783`
68×	`*-un-lft-identity_binary64_1762`
61×	`times-frac_binary64_1768`
44×	`difference-of-squares_binary64_1731`
36×	`associate-l_binary64_1705`
33×	`add-cube-cbrt_binary64_1794`
14×	`sqr-pow_binary64_1734` `unpow-prod-down_binary64_1838`
10×	`associate-/r*_binary64_1708` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
7×	`distribute-lft-out--_binary64_1716`
5×	`flip3--_binary64_1766` `add-log-exp_binary64_1798` `flip--_binary64_1737` `pow1_binary64_1820`
4×	`associate-/r/_binary64_1710` `associate-r_binary64_1704`
3×	`sub-neg_binary64_1755` `associate-/l*_binary64_1709`
2×	`frac-times_binary64_1772` `prod-exp_binary64_1808` `div-inv_binary64_1759` `unswap-sqr_binary64_1730` `cbrt-undiv_binary64_1793` `div-exp_binary64_1810` `associate-*r/_binary64_1706` `cbrt-unprod_binary64_1792`
1×	`frac-2neg_binary64_1773` `diff-log_binary64_1851` `pow-prod-down_binary64_1830` `clear-num_binary64_1761` `associate-l/_binary64_1707` `distribute-rgt-in_binary64_1714` `-commutative_binary64_1695` `distribute-lft-in_binary64_1713`

Counts

3 → 131

Calls

3 calls:

19.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
9.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
3.0ms	(-.f64 -1 (*.f64 x x))

series243.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

119.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
70.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
54.0ms	(-.f64 -1 (*.f64 x x))

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5357	2695

prune165.0ms (6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Merged error: 0.1b

Counts

144 → 4

Compiler

Compiled 2974 to 2195 computations (26.2% saved)

regimes11.0ms (0.4%)

Compiler: Compiled 59 to 45 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample610.0ms (24.7%)

Algorithm

1×

intervals

Results

159.0ms	1925×	body	512	valid
144.0ms	4639×	body	128	valid
63.0ms	1048×	body	256	valid
43.0ms	388×	body	1024	valid

Compiler

Compiled 76 to 61 computations (19.7% saved)

Details

analyze5.0ms (0.2%)

sample17.0ms (0.7%)

simplify163.0ms (6.6%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite58.0ms (2.4%)

series104.0ms (4.2%)

simplify68.0ms (2.7%)

prune136.0ms (5.5%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series42.0ms (1.7%)

simplify62.0ms (2.5%)

prune32.0ms (1.3%)

localize8.0ms (0.3%)

rewrite28.0ms (1.2%)

series392.0ms (15.8%)

simplify63.0ms (2.6%)

prune115.0ms (4.7%)

localize11.0ms (0.5%)

rewrite46.0ms (1.9%)

series243.0ms (9.8%)

simplify68.0ms (2.8%)

prune165.0ms (6.7%)

regimes11.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample610.0ms (24.7%)

Profiling