Details

analyze243.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample23.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify39.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

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 34 to 24 computations (29.4% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite68.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

9×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
8×	`add-cbrt-cube_binary64_1819`
7×	`add-sqr-sqrt_binary64_1805`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`add-log-exp_binary64_1822`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

3 → 48

Calls

3 calls:

6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
6.0ms	(.f64 4 (.f64 b b))
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1155 to 509 computations (55.9% saved)

series349.0ms (14.7%)

Error

Counts

3 → 33

Calls

3 calls:

194.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
95.0ms	(+.f64 (.f64 a a) (.f64 b b))
27.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1449 to 1154 computations (20.4% saved)

simplify64.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4931	972
1	4931	972

prune72.0ms (3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	1	82

Error

Counts

82 → 1

Compiler

Compiled 1616 to 768 computations (52.5% saved)

localize14.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.5b	(.f64 (.f64 a a) (*.f64 b b))

rewrite134.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`pow1_binary64_1844`
38×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
30×	`pow-prod-down_binary64_1854`
24×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-l_binary64_1724`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`pow-prod-up_binary64_1853` `pow-plus_binary64_1846`
3×	`add-log-exp_binary64_1822` `associate-r_binary64_1723` `*-commutative_binary64_1714`
2×	`pow2_binary64_1864` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751`

Counts

3 → 75

Calls

3 calls:

13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2332 to 1217 computations (47.8% saved)

series215.0ms (9%)

Error

Counts

3 → 15

Calls

3 calls:

98.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
72.0ms	(.f64 (.f64 a a) (*.f64 b b))
28.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1125 to 890 computations (20.9% saved)

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4942	771
1	4942	771

prune106.0ms (4.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	1	91

Error

Counts

91 → 1

Compiler

Compiled 2320 to 1457 computations (37.2% saved)

regimes156.0ms (6.6%)

Accuracy

Total 0.0b remaining (55.6%)

Threshold costs 0.0b (55.6%)

Compiler

Compiled 1970 to 1178 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms (0%)

sample798.0ms (33.6%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 293 to 186 computations (36.5% saved)

Details

analyze243.0ms (10.3%)

sample23.0ms (1%)

simplify39.0ms (1.7%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

rewrite68.0ms (2.9%)

series349.0ms (14.7%)

simplify64.0ms (2.7%)

prune72.0ms (3%)

localize14.0ms (0.6%)

rewrite134.0ms (5.6%)

series215.0ms (9%)

simplify76.0ms (3.2%)

prune106.0ms (4.5%)

regimes156.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample798.0ms (33.6%)

Profiling