Details

analyze336.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5029	46

prune6.0ms (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 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)
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite219.0ms (3%)

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)))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series861.0ms (11.6%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

282.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
270.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
152.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
71.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3724 to 2682 computations (28% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5064	2604

prune257.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	2	145

Error

0.0b

Counts

145 → 2

Compiler

Compiled 5156 to 2827 computations (45.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.4b	(.f64 a (.f64 b b))
0.6b	(.f64 a (.f64 a (*.f64 b b)))

rewrite236.0ms (3.2%)

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:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 a (.f64 b b))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series478.0ms (6.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

144.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
122.0ms	(.f64 a (.f64 a (*.f64 b b)))
99.0ms	(.f64 a (.f64 b b))
63.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5115	1249

prune232.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

0.0b

Counts

118 → 2

Compiler

Compiled 4855 to 2840 computations (41.5% saved)

localize18.0ms (0.2%)

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)
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
27.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite181.0ms (2.4%)

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:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)

Compiler

Compiled 3253 to 1779 computations (45.3% saved)

series777.0ms (10.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

299.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
170.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
161.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
70.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3892 to 2846 computations (26.9% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5034	1966

prune224.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Error

0.0b

Counts

131 → 3

Compiler

Compiled 4629 to 2609 computations (43.6% saved)

localize17.0ms (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	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
18.8b	(cbrt.f64 (pow.f64 a 12))

rewrite213.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`associate-*r/_binary64_1725`
16×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `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×	`cbrt-prod_binary64_1814` `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×	`unpow-prod-down_binary64_1862` `unswap-sqr_binary64_1751` `flip3--_binary64_1787` `flip--_binary64_1758` `*-commutative_binary64_1714`
2×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`
1×	`pow1/3_binary64_1865` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734`

Counts

4 → 90

Calls

4 calls:

16.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.0ms	(cbrt.f64 (pow.f64 a 12))

Compiler

Compiled 3347 to 2249 computations (32.8% saved)

series572.0ms (7.7%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

268.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
145.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
65.0ms	(.f64 (.f64 a a) (+.f64 1 a))
46.0ms	(cbrt.f64 (pow.f64 a 12))

Compiler

Compiled 1945 to 1597 computations (17.9% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5997	2096

prune203.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Error

0.0b

Counts

125 → 3

Compiler

Compiled 3730 to 2495 computations (33.1% saved)

regimes505.0ms (6.8%)

Accuracy

Total 0.0b remaining (54.6%)

Threshold costs 0.0b (54.6%)

Compiler

Compiled 6808 to 4818 computations (29.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.7s (22.7%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1238 to 884 computations (28.6% saved)

Details

analyze336.0ms (4.5%)

sample26.0ms (0.3%)

simplify58.0ms (0.8%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite219.0ms (3%)

series861.0ms (11.6%)

simplify71.0ms (1%)

prune257.0ms (3.5%)

localize22.0ms (0.3%)

rewrite236.0ms (3.2%)

series478.0ms (6.5%)

simplify62.0ms (0.8%)

prune232.0ms (3.1%)

localize18.0ms (0.2%)

rewrite181.0ms (2.4%)

series777.0ms (10.5%)

simplify72.0ms (1%)

prune224.0ms (3%)

localize17.0ms (0.2%)

rewrite213.0ms (2.9%)

series572.0ms (7.7%)

simplify65.0ms (0.9%)

prune203.0ms (2.7%)

regimes505.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (22.7%)

Profiling