Details

analyze8.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	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 10 computations (16.7% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify158.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_1783`
41×	`times-frac_binary64_1789`
40×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818`
12×	`distribute-lft-out_binary64_1734`
11×	`associate-/r*_binary64_1727`
9×	`add-exp-log_binary64_1821`
8×	`difference-of-squares_binary64_1752`
7×	`add-cbrt-cube_binary64_1819`
6×	`associate-/l*_binary64_1728` `distribute-lft-out--_binary64_1735`
5×	`add-log-exp_binary64_1822`
4×	`associate-/r/_binary64_1729` `difference-of-sqr-1_binary64_1753` `pow1_binary64_1844`
3×	`div-inv_binary64_1780` `div-exp_binary64_1834`
2×	`flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `flip3-+_binary64_1786` `clear-num_binary64_1782`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `inv-pow_binary64_1868` `frac-add_binary64_1791` `1-exp_binary64_1827` `pow-flip_binary64_1857` `sum-log_binary64_1874` `flip--_binary64_1758` `rec-exp_binary64_1833`

Counts

3 → 100

Calls

3 calls:

36.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 x (+.f64 x 1))

series103.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

58.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.0ms	(/.f64 x (+.f64 x 1))
18.0ms	(/.f64 1 (-.f64 x 1))

simplify95.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4913	1579
1	4913	1579

prune103.0ms (5.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Merged error: 0b

Counts

110 → 2

Compiler

Compiled 1878 to 1378 computations (26.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
0.0b	(/.f64 x (+.f64 1 x))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)

rewrite129.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`*-un-lft-identity_binary64_1783`
52×	`times-frac_binary64_1789`
44×	`distribute-lft-out_binary64_1734`
24×	`cbrt-prod_binary64_1814`
19×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
18×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
10×	`distribute-lft-out--_binary64_1735`
7×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
6×	`div-inv_binary64_1780` `cube-div_binary64_1812` `add-log-exp_binary64_1822`
5×	`pow1_binary64_1844`
4×	`flip-+_binary64_1757` `associate-/r*_binary64_1727` `flip3-+_binary64_1786`
3×	`associate-/l*_binary64_1728` `frac-add_binary64_1791` `pow-unpow_binary64_1860` `cbrt-div_binary64_1815`
2×	`associate-/r/_binary64_1729` `sqr-pow_binary64_1755` `cube-mult_binary64_1813` `unpow3_binary64_1849`
1×	`+-commutative_binary64_1713` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `clear-num_binary64_1782` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 125

Calls

4 calls:

37.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
36.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
36.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
6.0ms	(/.f64 x (+.f64 1 x))

series238.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
76.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
55.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
22.0ms	(/.f64 x (+.f64 1 x))

simplify95.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4962	2810
1	4962	2810

prune151.0ms (8.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

Compiler

Compiled 2719 to 2106 computations (22.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

17.7b

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

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_1789`
10×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`difference-of-sqr--1_binary64_1754` `associate-/r*_binary64_1727`
3×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip-+_binary64_1757` `flip3-+_binary64_1786`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 35

Calls

1 calls:

9.0ms

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

series57.0ms (3.2%)

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify78.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4968	909
1	4968	909

prune32.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Merged error: 0b

Counts

40 → 2

Compiler

Compiled 754 to 422 computations (44% saved)

regimes22.0ms (1.2%)

Compiler: Compiled 146 to 116 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms (0%)

sample439.0ms (24.2%)

Algorithm

1×

intervals

Results

236.0ms

8000×

body

128

valid

Compiler

Compiled 87 to 71 computations (18.4% saved)

Details

analyze8.0ms (0.5%)

sample14.0ms (0.8%)

simplify158.0ms (8.7%)

prune2.0ms (0.1%)

localize7.0ms (0.4%)

rewrite57.0ms (3.1%)

series103.0ms (5.7%)

simplify95.0ms (5.2%)

prune103.0ms (5.7%)

localize9.0ms (0.5%)

rewrite129.0ms (7.1%)

series238.0ms (13.1%)

simplify95.0ms (5.2%)

prune151.0ms (8.3%)

localize5.0ms (0.3%)

rewrite12.0ms (0.7%)

series57.0ms (3.2%)

simplify78.0ms (4.3%)

prune32.0ms (1.8%)

regimes22.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample439.0ms (24.2%)

Profiling