Details

analyze171.0ms (2.3%)

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%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify160.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5029	46

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite268.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`associate-*r/_binary64_1725`
17×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
16×	`add-cbrt-cube_binary64_1819`
14×	`add-sqr-sqrt_binary64_1805`
12×	`*-un-lft-identity_binary64_1783`
10×	`add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
5×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757` `frac-add_binary64_1791`
3×	`unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `*-commutative_binary64_1714` `unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860`
2×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
13.0ms	(.f64 (.f64 a a) (+.f64 1 a))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series676.0ms (9.1%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

232.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
205.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
115.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
56.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3287 to 2374 computations (27.8% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5037	2428

prune238.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	2	137

Error

0.0b

Counts

137 → 2

Compiler

Compiled 4930 to 2712 computations (45% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 a (.f64 a (*.f64 b b)))
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.7b	(.f64 a (.f64 b b))

rewrite263.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
15×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
11×	`add-sqr-sqrt_binary64_1805`
10×	`*-un-lft-identity_binary64_1783`
9×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `-commutative_binary64_1714` `associate-r/_binary64_1725`
3×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
2×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734`

Counts

4 → 89

Calls

4 calls:

16.0ms	(.f64 (.f64 a a) (+.f64 1 a))
15.0ms	(.f64 a (.f64 a (*.f64 b b)))
10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series401.0ms (5.4%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

128.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
88.0ms	(.f64 a (.f64 a (*.f64 b b)))
86.0ms	(.f64 a (.f64 b b))
48.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5115	1236

prune251.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	115	2	117

Error

0.0b

Counts

117 → 2

Compiler

Compiled 4816 to 2818 computations (41.5% saved)

localize35.0ms (0.5%)

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)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
28.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite418.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 3253 to 1779 computations (45.3% saved)

series631.0ms (8.5%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

237.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
135.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
131.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
57.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3824 to 2801 computations (26.8% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5017	1953

prune244.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 4616 to 2599 computations (43.7% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

13.4b	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
13.4b	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
28.2b	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))
28.2b	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))

rewrite199.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`sqrt-prod_binary64_1799`
20×	`cbrt-prod_binary64_1814`
18×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818` `unpow-prod-down_binary64_1862` `*-un-lft-identity_binary64_1783`
6×	`sqr-pow_binary64_1755` `rem-sqrt-square_binary64_1796`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1/3_binary64_1865` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`

Counts

4 → 74

Calls

4 calls:

11.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))
9.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))
9.0ms	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
6.0ms	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

Compiler

Compiled 4110 to 2086 computations (49.2% saved)

series627.0ms (8.4%)

Error

Counts

4 → 54

Calls

4 calls:

138.0ms	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
132.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))
132.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)))
115.0ms	(sqrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

Compiler

Compiled 5580 to 3749 computations (32.8% saved)

simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4937	2232
1	4937	2232

prune298.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Error

Counts

131 → 3

Compiler

Compiled 6184 to 3204 computations (48.2% saved)

regimes338.0ms (4.5%)

Accuracy

Total 0.0b remaining (60.9%)

Threshold costs 0.0b (60.9%)

Compiler

Compiled 4465 to 3024 computations (32.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.7s (22.7%)

Algorithm

1×

intervals

Results

651.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 832 to 569 computations (31.6% saved)

Details

analyze171.0ms (2.3%)

sample28.0ms (0.4%)

simplify160.0ms (2.2%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite268.0ms (3.6%)

series676.0ms (9.1%)

simplify78.0ms (1%)

prune238.0ms (3.2%)

localize28.0ms (0.4%)

rewrite263.0ms (3.5%)

series401.0ms (5.4%)

simplify82.0ms (1.1%)

prune251.0ms (3.4%)

localize35.0ms (0.5%)

rewrite418.0ms (5.6%)

series631.0ms (8.5%)

simplify108.0ms (1.4%)

prune244.0ms (3.3%)

localize41.0ms (0.5%)

rewrite199.0ms (2.7%)

series627.0ms (8.4%)

simplify154.0ms (2.1%)

prune298.0ms (4%)

regimes338.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (22.7%)

Profiling