Details

analyze1.0s (14%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample73.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
20.0ms	299×	body	128	nan
3.0ms	32×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify336.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-log-exp_binary64_1822`
18×	`add-sqr-sqrt_binary64_1805` `sum-log_binary64_1874`
16×	`*-un-lft-identity_binary64_1783`
12×	`log-prod_binary64_1869` `add-cube-cbrt_binary64_1818`
10×	`pow1_binary64_1844`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
2×	`log-pow_binary64_1872` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `associate-+l+_binary64_1716` `associate-l/_binary64_1726` `-commutative_binary64_1714` `flip3-+_binary64_1786` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `flip--_binary64_1758`

Counts

4 → 84

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
9.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
8.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
6.0ms	(*.f64 x (log.f64 y))

series602.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

500.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
38.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
37.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
27.0ms	(*.f64 x (log.f64 y))

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4862	1672
1	4862	1672

prune122.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	6	97

Error

0.0b

Counts

97 → 6

Compiler

Compiled 2752 to 1018 computations (63% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.3b	(*.f64 x (log.f64 y))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_1869`
16×	`add-sqr-sqrt_binary64_1805`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`associate-+r+_binary64_1715` `cbrt-prod_binary64_1814`
9×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
8×	`associate-*l/_binary64_1726`
7×	`pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
4×	`flip3--_binary64_1787` `frac-add_binary64_1791` `flip--_binary64_1758` `associate-r_binary64_1723`
3×	`associate-l_binary64_1724`
2×	`pow1/3_binary64_1865`
1×	`log-pow_binary64_1872` `+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

4 → 75

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series332.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
88.0ms	(cbrt.f64 c)
81.0ms	(cbrt.f64 c)
29.0ms	(*.f64 x (log.f64 y))

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5037	1115

prune122.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Error

0.0b

Counts

93 → 6

Compiler

Compiled 3243 to 1388 computations (57.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805`
13×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`log-prod_binary64_1869` `cbrt-prod_binary64_1814` `pow1_binary64_1844`
11×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
6×	`distribute-lft-in_binary64_1732` `associate-l_binary64_1724` `distribute-rgt-in_binary64_1733` `associate-r_binary64_1723`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
3×	`pow1/3_binary64_1865`
2×	`log-pow_binary64_1872` `*-commutative_binary64_1714`
1×	`unswap-sqr_binary64_1751`

Counts

4 → 72

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series317.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)
72.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
67.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4942	834
1	4942	834

prune113.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 2965 to 1362 computations (54.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 y) 2/3))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 y)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1805`
15×	`pow1_binary64_1844`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
12×	`log-prod_binary64_1869`
10×	`associate-l_binary64_1724`
9×	`cbrt-prod_binary64_1814` `associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
5×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854`
4×	`add-log-exp_binary64_1822`
3×	`log-pow_binary64_1872` `*-commutative_binary64_1714`
2×	`pow1/3_binary64_1865` `unswap-sqr_binary64_1751`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 (log.f64 y) 2/3)
6.0ms	(.f64 x (.f64 (log.f64 y) 2/3))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

series240.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 y)
69.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
53.0ms	(*.f64 (log.f64 y) 2/3)
32.0ms	(.f64 x (.f64 (log.f64 y) 2/3))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5109	926

prune113.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Error

0.0b

Counts

97 → 5

Compiler

Compiled 3021 to 1364 computations (54.8% saved)

regimes554.0ms (7.7%)

Accuracy

Total 0.1b remaining (86.9%)

Threshold costs 0.1b (86.9%)

Compiler

Compiled 6680 to 5846 computations (12.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	45
1	48	45

end0.0ms (0%)

sample2.8s (38.8%)

Algorithm

1×

intervals

Results

703.0ms	9716×	body	128	nan
669.0ms	7995×	body	128	valid
101.0ms	1221×	body	128	invalid
1.0ms	3×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 601 to 523 computations (13% saved)

Details

analyze1.0s (14%)

sample73.0ms (1%)

simplify336.0ms (4.6%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite54.0ms (0.7%)

series602.0ms (8.3%)

simplify80.0ms (1.1%)

prune122.0ms (1.7%)

localize22.0ms (0.3%)

rewrite32.0ms (0.4%)

series332.0ms (4.6%)

simplify42.0ms (0.6%)

prune122.0ms (1.7%)

localize22.0ms (0.3%)

rewrite22.0ms (0.3%)

series317.0ms (4.4%)

simplify68.0ms (0.9%)

prune113.0ms (1.6%)

localize25.0ms (0.3%)

rewrite28.0ms (0.4%)

series240.0ms (3.3%)

simplify61.0ms (0.8%)

prune113.0ms (1.6%)

regimes554.0ms (7.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.8s (38.8%)

Profiling