Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	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 14 to 11 computations (21.4% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	60×	body	1024	valid
4.0ms	130×	body	128	valid
3.0ms	35×	body	512	valid
1.0ms	10×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify171.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune2.0ms (0%)

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

Merged error: 31.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
3.1b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite71.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`*-un-lft-identity_binary64_1783`
88×	`times-frac_binary64_1789`
85×	`add-sqr-sqrt_binary64_1805`
37×	`add-cube-cbrt_binary64_1818`
34×	`cancel-sign-sub-inv_binary64_1749`
27×	`distribute-lft-out_binary64_1734`
22×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
11×	`associate-/r*_binary64_1727`
9×	`difference-of-sqr-1_binary64_1753`
7×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
6×	`associate-/r/_binary64_1729`
5×	`add-log-exp_binary64_1822`
3×	`flip3--_binary64_1787` `div-inv_binary64_1780` `flip--_binary64_1758` `pow1_binary64_1844`
2×	`associate-/l/_binary64_1730` `flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `flip3-+_binary64_1786` `clear-num_binary64_1782`
1×	`diff-log_binary64_1875` `frac-sub_binary64_1792` `sub-neg_binary64_1776`

Counts

3 → 147

Calls

3 calls:

45.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
8.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series65.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
12.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
12.0ms	(/.f64 x (+.f64 x 1))

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5658	2774

prune198.0ms (4.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	4	157

Merged error: 0.0b

Counts

157 → 4

Compiler

Compiled 3126 to 2207 computations (29.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
0.2b	(/.f64 -1 (*.f64 x x))
0.5b	(/.f64 3 (pow.f64 x 3))
5.6b	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

rewrite92.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64_1783`
68×	`times-frac_binary64_1789`
44×	`add-sqr-sqrt_binary64_1805`
40×	`add-cube-cbrt_binary64_1818`
14×	`add-exp-log_binary64_1821` `unpow3_binary64_1849`
13×	`cancel-sign-sub-inv_binary64_1749` `associate-/r*_binary64_1727`
12×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
11×	`add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `add-log-exp_binary64_1822`
8×	`distribute-rgt-out_binary64_1736`
6×	`associate-/l*_binary64_1728` `div-inv_binary64_1780`
5×	`div-exp_binary64_1834`
4×	`sqr-pow_binary64_1755` `cube-mult_binary64_1813` `pow1_binary64_1844`
3×	`frac-sub_binary64_1792` `cbrt-undiv_binary64_1817`
2×	`difference-of-squares_binary64_1752` `frac-add_binary64_1791` `flip-+_binary64_1757` `distribute-lft-out--_binary64_1735` `distribute-rgt1-in_binary64_1739` `diff-log_binary64_1875` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `flip3-+_binary64_1786` `clear-num_binary64_1782`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip--_binary64_1758` `pow-to-exp_binary64_1852` `sub-neg_binary64_1776` `pow-exp_binary64_1851` `associate--r+_binary64_1719`

Counts

4 → 141

Calls

4 calls:

40.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
27.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
8.0ms	(/.f64 3 (pow.f64 x 3))
4.0ms	(/.f64 -1 (*.f64 x x))

series110.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
22.0ms	(/.f64 3 (pow.f64 x 3))
18.0ms	(/.f64 -1 (*.f64 x x))
16.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5045	2493

prune175.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	152	5	157

Merged error: 0.0b

Counts

157 → 5

Compiler

Compiled 3268 to 2279 computations (30.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
0.2b	(/.f64 -1 (*.f64 x x))
0.5b	(/.f64 1 (pow.f64 x 3))
5.6b	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

rewrite68.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
39×	`add-sqr-sqrt_binary64_1805`
37×	`add-cube-cbrt_binary64_1818`
20×	`add-exp-log_binary64_1821`
16×	`associate-r_binary64_1723`
13×	`add-cbrt-cube_binary64_1819` `associate-/r*_binary64_1727`
12×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
10×	`unpow3_binary64_1849`
8×	`div-exp_binary64_1834`
7×	`distribute-lft-out_binary64_1734` `div-inv_binary64_1780`
6×	`associate-r/_binary64_1725` `associate-/l_binary64_1728` `add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`distribute-rgt-out_binary64_1736`
4×	`sqr-pow_binary64_1755` `cube-mult_binary64_1813`
3×	`1-exp_binary64_1827` `associate-l_binary64_1724` `frac-sub_binary64_1792` `cbrt-undiv_binary64_1817` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rec-exp_binary64_1833`
2×	`distribute-lft-in_binary64_1732` `frac-add_binary64_1791` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786` `clear-num_binary64_1782` `associate--r+_binary64_1719`
1×	`flip3--_binary64_1787` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt1-in_binary64_1739` `diff-log_binary64_1875` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 147

Calls

4 calls:

38.0ms	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
7.0ms	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
6.0ms	(/.f64 1 (pow.f64 x 3))
4.0ms	(/.f64 -1 (*.f64 x x))

series95.0ms (2%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
19.0ms	(/.f64 1 (pow.f64 x 3))
18.0ms	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
17.0ms	(/.f64 -1 (*.f64 x x))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4947	2072
1	4947	2072

prune186.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Merged error: 0.0b

Counts

164 → 5

Compiler

Compiled 3493 to 2505 computations (28.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0b	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

rewrite173.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

434×	`*-un-lft-identity_binary64_1783`
272×	`times-frac_binary64_1789`
228×	`add-sqr-sqrt_binary64_1805`
100×	`add-cube-cbrt_binary64_1818`
96×	`swap-sqr_binary64_1750`
93×	`distribute-lft-out_binary64_1734`
53×	`difference-of-squares_binary64_1752`
52×	`associate-l_binary64_1724` `associate-r_binary64_1723`
36×	`distribute-lft-out--_binary64_1735`
32×	`difference-of-sqr-1_binary64_1753`
28×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
18×	`pow1_binary64_1844`
16×	`associate-/r/_binary64_1729`
9×	`frac-sub_binary64_1792`
8×	`associate-r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `div-inv_binary64_1780` `associate-l/_binary64_1726` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
5×	`flip3--_binary64_1787` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758`
2×	`pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `pow2_binary64_1864`
1×	`+-commutative_binary64_1713` `frac-add_binary64_1791` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `sum-log_binary64_1874` `sub-neg_binary64_1776`

Counts

4 → 299

Calls

4 calls:

42.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
39.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
19.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
14.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

series111.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
26.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
16.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
14.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))

simplify123.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5017	7255

prune966.0ms (20.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	309	2	311
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	311	5	316

Merged error: 0b

Counts

316 → 5

Compiler

Compiled 14425 to 10322 computations (28.4% saved)

regimes205.0ms (4.3%)

Compiler: Compiled 2213 to 1690 computations (23.6% saved)

bsearch46.0ms (1%)

Steps

Iters	Range		Point
9	378.69906577529343	3149958116.030756	10696.905064826944
8	-284833.5721700117	-61.98417511443069	-12732.029291456316

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	136
1	91	136

end0.0ms (0%)

sample1.6s (33.1%)

Algorithm

1×

intervals

Results

242.0ms	2004×	body	1024	valid
138.0ms	4309×	body	128	valid
92.0ms	992×	body	512	valid
40.0ms	234×	body	2048	valid
28.0ms	461×	body	256	valid

Compiler

Compiled 1126 to 861 computations (23.5% saved)

Details

analyze4.0ms (0.1%)

sample22.0ms (0.5%)

simplify171.0ms (3.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite71.0ms (1.5%)

series65.0ms (1.4%)

simplify77.0ms (1.6%)

prune198.0ms (4.2%)

localize9.0ms (0.2%)

rewrite92.0ms (1.9%)

series110.0ms (2.3%)

simplify73.0ms (1.6%)

prune175.0ms (3.7%)

localize10.0ms (0.2%)

rewrite68.0ms (1.5%)

series95.0ms (2%)

simplify75.0ms (1.6%)

prune186.0ms (3.9%)

localize13.0ms (0.3%)

rewrite173.0ms (3.7%)

series111.0ms (2.4%)

simplify123.0ms (2.6%)

prune966.0ms (20.5%)

regimes205.0ms (4.3%)

bsearch46.0ms (1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (33.1%)

Profiling