Details

analyze310.0ms (7.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify171.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt-in_binary64_1733` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
4×	`associate-*r/_binary64_1725`
3×	`pow-unpow_binary64_1860` `unpow-prod-down_binary64_1862`
2×	`associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751` `sub-neg_binary64_1776`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734` `unpow2_binary64_1848` `distribute-lft-out--_binary64_1735` `sum-log_binary64_1874` `pow-pow_binary64_1855` `flip--_binary64_1758` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series167.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
32.0ms	(.f64 (.f64 a a) (-.f64 1 a))
30.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
27.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5239	1789

prune143.0ms (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	4	100

Error

0.0b

Counts

100 → 4

Compiler

Compiled 3515 to 1801 computations (48.8% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.8b	(.f64 (.f64 b b) (+.f64 3 a))
1.9b	(.f64 (.f64 b b) (*.f64 a a))

rewrite76.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_1844`
32×	`associate-*r/_binary64_1725`
26×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
20×	`frac-add_binary64_1791` `pow-prod-down_binary64_1854`
14×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `flip3-+_binary64_1786`
13×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822`
11×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818`
6×	`distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `distribute-rgt-in_binary64_1733` `sum-log_binary64_1874`
5×	`flip3--_binary64_1787` `flip--_binary64_1758`
4×	`pow-plus_binary64_1846` `pow-prod-up_binary64_1853`
3×	`associate-l_binary64_1724` `*-commutative_binary64_1714` `unswap-sqr_binary64_1751`
2×	`associate-+r+_binary64_1715` `difference-of-squares_binary64_1752` `pow-sqr_binary64_1756` `sub-neg_binary64_1776` `pow2_binary64_1864`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `associate-+l+_binary64_1716`

Counts

4 → 113

Calls

4 calls:

27.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
11.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series164.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
38.0ms	(.f64 (.f64 a a) (-.f64 1 a))
26.0ms	(.f64 (.f64 b b) (*.f64 a a))
23.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4973	4501
1	4973	4501

prune296.0ms (7.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 6525 to 3801 computations (41.7% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))
25.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
15×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
14×	`add-cbrt-cube_binary64_1819`
12×	`add-cube-cbrt_binary64_1818`
10×	`associate-r_binary64_1723`
7×	`cbrt-prod_binary64_1814`
6×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749` `unpow-prod-down_binary64_1862` `pow-prod-down_binary64_1854`
5×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
4×	`associate-*r/_binary64_1725` `add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860`
2×	`difference-of-squares_binary64_1752` `sqr-pow_binary64_1755` `associate-l_binary64_1724` `*-commutative_binary64_1714` `unswap-sqr_binary64_1751` `sub-neg_binary64_1776`
1×	`flip3--_binary64_1787` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `distribute-lft-out--_binary64_1735` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `flip--_binary64_1758` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

series257.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
34.0ms	(.f64 (.f64 a a) (-.f64 1 a))
28.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
26.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5130	1402

prune137.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Error

Counts

104 → 4

Compiler

Compiled 3500 to 1837 computations (47.5% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))
20.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
26.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_1814`
13×	`*-un-lft-identity_binary64_1783`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818`
10×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`sqr-pow_binary64_1755` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `pow-prod-down_binary64_1854`
2×	`associate-*r/_binary64_1725` `unpow2_binary64_1848` `pow1/3_binary64_1865`
1×	`distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series213.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
81.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))
29.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
22.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4899	1385
1	4899	1385

prune136.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 3898 to 1829 computations (53.1% saved)

regimes213.0ms (5.4%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

Compiler

Compiled 3582 to 2311 computations (35.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample1.1s (28.3%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 682 to 444 computations (34.9% saved)

Details

analyze310.0ms (7.9%)

sample24.0ms (0.6%)

simplify171.0ms (4.4%)

prune3.0ms (0.1%)

localize16.0ms (0.4%)

rewrite42.0ms (1.1%)

series167.0ms (4.2%)

simplify63.0ms (1.6%)

prune143.0ms (3.6%)

localize20.0ms (0.5%)

rewrite76.0ms (1.9%)

series164.0ms (4.2%)

simplify103.0ms (2.6%)

prune296.0ms (7.5%)

localize17.0ms (0.4%)

rewrite37.0ms (0.9%)

series257.0ms (6.5%)

simplify77.0ms (2%)

prune137.0ms (3.5%)

localize21.0ms (0.5%)

rewrite34.0ms (0.9%)

series213.0ms (5.4%)

simplify71.0ms (1.8%)

prune136.0ms (3.5%)

regimes213.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.3%)

Profiling