Details

analyze7.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms	39×	body	1024	valid
6.0ms	141×	body	128	valid
6.0ms	50×	body	512	valid
2.0ms	26×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune3.0ms (0%)

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: 9.4b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b	(/.f64 1 (-.f64 x 1))
1.7b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite84.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`*-un-lft-identity_binary64_1783`
74×	`times-frac_binary64_1789`
72×	`add-sqr-sqrt_binary64_1805`
39×	`add-cube-cbrt_binary64_1818`
26×	`cancel-sign-sub-inv_binary64_1749`
18×	`distribute-lft-out--_binary64_1735`
17×	`distribute-lft-out_binary64_1734`
14×	`difference-of-squares_binary64_1752` `associate-+l+_binary64_1716`
12×	`add-exp-log_binary64_1821`
11×	`associate-/r*_binary64_1727` `add-log-exp_binary64_1822`
10×	`div-inv_binary64_1780`
8×	`add-cbrt-cube_binary64_1819`
6×	`associate-/l*_binary64_1728` `pow1_binary64_1844`
4×	`associate-/r/_binary64_1729` `difference-of-sqr-1_binary64_1753` `div-exp_binary64_1834`
3×	`flip3--_binary64_1787` `frac-add_binary64_1791` `flip--_binary64_1758`
2×	`inv-pow_binary64_1868` `1-exp_binary64_1827` `flip-+_binary64_1757` `pow-flip_binary64_1857` `diff-log_binary64_1875` `frac-sub_binary64_1792` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `flip3-+_binary64_1786` `clear-num_binary64_1782` `sub-neg_binary64_1776` `rec-exp_binary64_1833`
1×	`+-commutative_binary64_1713` `associate-+l-_binary64_1718`

Counts

4 → 161

Calls

4 calls:

38.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

series104.0ms (0.8%)

Counts

4 → 28

Calls

4 calls:

47.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
25.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
17.0ms	(/.f64 1 (+.f64 x 1))
15.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 488 to 412 computations (15.6% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5000	2779

prune241.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	179	10	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	10	190

Merged error: 9.2b

Counts

190 → 10

Compiler

Compiled 3995 to 3197 computations (20% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 x 1))
0.3b	(cbrt.f64 (-.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
15.8b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (-.f64 x 1))))

rewrite143.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1783`
57×	`add-sqr-sqrt_binary64_1805`
54×	`cbrt-prod_binary64_1814`
21×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
16×	`cbrt-div_binary64_1815`
14×	`difference-of-squares_binary64_1752` `swap-sqr_binary64_1750` `distribute-lft-out--_binary64_1735` `associate-+l+_binary64_1716`
13×	`cancel-sign-sub-inv_binary64_1749`
11×	`pow1_binary64_1844`
10×	`associate-l_binary64_1724` `associate-r_binary64_1723`
9×	`flip3--_binary64_1787` `distribute-lft-out_binary64_1734` `flip--_binary64_1758` `add-log-exp_binary64_1822`
8×	`difference-of-sqr-1_binary64_1753` `pow1/3_binary64_1865`
6×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `div-inv_binary64_1780` `frac-times_binary64_1793` `unswap-sqr_binary64_1751`
3×	`frac-add_binary64_1791`
2×	`associate-r/_binary64_1725` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `sum-log_binary64_1874` `pow-prod-down_binary64_1854`
1×	`+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `pow-plus_binary64_1846` `associate-+l-_binary64_1718` `diff-log_binary64_1875` `frac-sub_binary64_1792` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `sub-neg_binary64_1776` `pow2_binary64_1864`

Counts

4 → 135

Calls

4 calls:

109.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (-.f64 x 1))))
13.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
3.0ms	(cbrt.f64 (-.f64 x 1))
3.0ms	(cbrt.f64 (-.f64 x 1))

series227.0ms (1.7%)

Counts

4 → 26

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
53.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (-.f64 x 1))))
43.0ms	(cbrt.f64 (-.f64 x 1))
43.0ms	(cbrt.f64 (-.f64 x 1))

Compiler

Compiled 1098 to 964 computations (12.2% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5004	2878

prune425.0ms (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	158	13	171

Merged error: 9.2b

Counts

171 → 13

Compiler

Compiled 5084 to 4090 computations (19.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))
0.3b	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
4.7b	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
18.1b	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))

rewrite478.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

1125×	`times-frac_binary64_1789`
1051×	`*-un-lft-identity_binary64_1783`
960×	`add-sqr-sqrt_binary64_1805`
341×	`difference-of-squares_binary64_1752`
308×	`distribute-lft-out--_binary64_1735`
283×	`add-cube-cbrt_binary64_1818`
247×	`cancel-sign-sub-inv_binary64_1749`
100×	`difference-of-sqr-1_binary64_1753`
93×	`div-inv_binary64_1780`
58×	`frac-sub_binary64_1792`
45×	`flip3--_binary64_1787` `flip--_binary64_1758`
39×	`associate-/r/_binary64_1729`
35×	`associate-/l*_binary64_1728`
28×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `associate--l+_binary64_1720`
27×	`frac-times_binary64_1793`
24×	`distribute-lft-out_binary64_1734`
23×	`associate-/r*_binary64_1727`
21×	`swap-sqr_binary64_1750`
18×	`associate-/l/_binary64_1730`
17×	`add-exp-log_binary64_1821`
14×	`pow1_binary64_1844`
13×	`add-cbrt-cube_binary64_1819` `associate-l_binary64_1724` `associate-r_binary64_1723`
9×	`associate-r/_binary64_1725` `associate-l/_binary64_1726`
7×	`div-exp_binary64_1834`
6×	`add-log-exp_binary64_1822`
5×	`sub-neg_binary64_1776`
4×	`cbrt-undiv_binary64_1817`
2×	`pow-div_binary64_1858` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`div-sub_binary64_1788` `inv-pow_binary64_1868` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `1-exp_binary64_1827` `pow-plus_binary64_1846` `pow-flip_binary64_1857` `pow-prod-up_binary64_1853` `diff-log_binary64_1875` `pow-sqr_binary64_1756` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `rec-exp_binary64_1833` `pow2_binary64_1864`

Counts

4 → 791

Calls

4 calls:

142.0ms	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
99.0ms	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
43.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
19.0ms	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

series225.0ms (1.7%)

Counts

4 → 28

Calls

4 calls:

96.0ms	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
57.0ms	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
47.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
24.0ms	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

Compiler

Compiled 1091 to 917 computations (15.9% saved)

simplify296.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

819 → 819

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5032	36900

prune6.6s (48.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	807	12	819
Fresh	10	1	11
Picked	1	0	1
Done	1	0	1
Total	819	13	832

Merged error: 9.2b

Counts

832 → 13

Compiler

Compiled 48865 to 38824 computations (20.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
0.0b	(*.f64 x (+.f64 1 x))
0.0b	(-.f64 x (*.f64 (+.f64 1 x) 2))
17.5b	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`associate-*r/_binary64_1725`
19×	`flip3--_binary64_1787` `flip--_binary64_1758`
16×	`add-sqr-sqrt_binary64_1805` `frac-add_binary64_1791`
13×	`*-un-lft-identity_binary64_1783`
12×	`frac-times_binary64_1793`
10×	`flip-+_binary64_1757` `associate-l_binary64_1724` `flip3-+_binary64_1786`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `add-log-exp_binary64_1822` `pow1_binary64_1844`
7×	`associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726` `distribute-rgt-in_binary64_1733`
5×	`cancel-sign-sub-inv_binary64_1749` `sub-neg_binary64_1776`
4×	`associate-+l+_binary64_1716`
2×	`associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `sum-log_binary64_1874`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))
9.0ms	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
6.0ms	(*.f64 x (+.f64 1 x))
3.0ms	(-.f64 x (*.f64 (+.f64 1 x) 2))

series71.0ms (0.5%)

Counts

4 → 16

Calls

4 calls:

27.0ms	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
22.0ms	(*.f64 x (+.f64 1 x))
13.0ms	(-.f64 x (*.f64 (+.f64 1 x) 2))
9.0ms	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

Compiler

Compiled 488 to 374 computations (23.4% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5144	3217

prune180.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	12	0	12
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Merged error: 0.2b

Counts

131 → 2

Compiler

Compiled 3980 to 2745 computations (31% saved)

regimes486.0ms (3.6%)

Compiler: Compiled 8146 to 6703 computations (17.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample3.5s (26%)

Algorithm

1×

intervals

Results

193.0ms	1266×	body	1024	valid
189.0ms	4523×	body	128	valid
166.0ms	1465×	body	512	valid
59.0ms	746×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 4066 to 3345 computations (17.7% saved)

Details

analyze7.0ms (0%)

sample24.0ms (0.2%)

simplify104.0ms (0.8%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite84.0ms (0.6%)

series104.0ms (0.8%)

simplify73.0ms (0.5%)

prune241.0ms (1.8%)

localize12.0ms (0.1%)

rewrite143.0ms (1.1%)

series227.0ms (1.7%)

simplify73.0ms (0.5%)

prune425.0ms (3.2%)

localize14.0ms (0.1%)

rewrite478.0ms (3.5%)

series225.0ms (1.7%)

simplify296.0ms (2.2%)

prune6.6s (48.8%)

localize13.0ms (0.1%)

rewrite41.0ms (0.3%)

series71.0ms (0.5%)

simplify58.0ms (0.4%)

prune180.0ms (1.3%)

regimes486.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (26%)

Profiling