Details

analyze6.0ms (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
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)

sample28.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	48×	body	512	valid
6.0ms	152×	body	128	valid
6.0ms	37×	body	1024	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune3.0ms (0.1%)

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

Error

9.2b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.7b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite93.0ms (3.1%)

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:

47.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

series83.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
13.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
10.0ms	(/.f64 1 (-.f64 x 1))
8.0ms	(/.f64 1 (+.f64 x 1))

simplify94.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4963	2797
1	4963	2797

prune223.0ms (7.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	169	4	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	4	174

Error

0.2b

Counts

174 → 4

Compiler

Compiled 3671 to 2946 computations (19.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.0b	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
0.0b	(-.f64 x (*.f64 (+.f64 1 x) 2))
13.8b	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

rewrite46.0ms (1.5%)

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:

12.0ms	(+.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))

series55.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 x (+.f64 1 x))
12.0ms	(-.f64 x (*.f64 (+.f64 1 x) 2))
12.0ms	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
5.0ms	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

simplify61.0ms (2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5123	3216

prune179.0ms (5.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	117	1	118

Error

0.2b

Counts

118 → 1

Compiler

Compiled 3927 to 2715 computations (30.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 2 (-.f64 (pow.f64 x 3) x))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1805`
27×	`*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
16×	`difference-of-squares_binary64_1752`
15×	`add-cube-cbrt_binary64_1818`
9×	`associate-/r*_binary64_1727`
4×	`sqr-pow_binary64_1755` `unpow3_binary64_1849` `unpow-prod-down_binary64_1862` `distribute-lft-out--_binary64_1735` `distribute-rgt-out--_binary64_1737` `cube-prod_binary64_1811`
3×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
2×	`associate-/r/_binary64_1729`
1×	`flip3--_binary64_1787` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `flip--_binary64_1758` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 53

Calls

1 calls:

9.0ms

(/.f64 2 (-.f64 (pow.f64 x 3) x))

series24.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(/.f64 2 (-.f64 (pow.f64 x 3) x))

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4913	1071
1	4913	1071

prune61.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Error

Counts

57 → 4

Compiler

Compiled 900 to 667 computations (25.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 2 x) (-.f64 (*.f64 x x) 1))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac_binary64_1789`
78×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
64×	`add-cube-cbrt_binary64_1818`
28×	`difference-of-squares_binary64_1752`
14×	`difference-of-sqr-1_binary64_1753`
13×	`associate-/l*_binary64_1728`
8×	`div-inv_binary64_1780`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
3×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
2×	`associate-/r/_binary64_1729`
1×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `flip--_binary64_1758` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 114

Calls

1 calls:

10.0ms

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

series30.0ms (1%)

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5027	2916

prune110.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Error

Counts

121 → 4

Compiler

Compiled 2168 to 1441 computations (33.5% saved)

regimes134.0ms (4.4%)

Accuracy

Total 0.1b remaining (95.1%)

Threshold costs 0.1b (95.1%)

Compiler

Compiled 1638 to 1360 computations (17% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample1.5s (49%)

Algorithm

1×

intervals

Results

182.0ms	1281×	body	1024	valid
172.0ms	4475×	body	128	valid
166.0ms	1509×	body	512	valid
52.0ms	735×	body	256	valid

Compiler

Compiled 837 to 695 computations (17% saved)

Details

analyze6.0ms (0.2%)

sample28.0ms (0.9%)

simplify98.0ms (3.2%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite93.0ms (3.1%)

series83.0ms (2.7%)

simplify94.0ms (3.1%)

prune223.0ms (7.4%)

localize13.0ms (0.4%)

rewrite46.0ms (1.5%)

series55.0ms (1.8%)

simplify61.0ms (2%)

prune179.0ms (5.9%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series24.0ms (0.8%)

simplify73.0ms (2.4%)

prune61.0ms (2%)

localize6.0ms (0.2%)

rewrite21.0ms (0.7%)

series30.0ms (1%)

simplify71.0ms (2.3%)

prune110.0ms (3.6%)

regimes134.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (49%)

Profiling