Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample49.0ms (1.5%)

Algorithm

1×

intervals

Results

28.0ms	83×	body	1024	valid
8.0ms	50×	body	512	valid
3.0ms	96×	body	128	valid
2.0ms	5×	body	2048	valid
2.0ms	22×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify94.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (0.1%)

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

39.6b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.6b	(log.f64 (+.f64 1 x))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_1869` `*-un-lft-identity_binary64_1783`
2×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `log-div_binary64_1870` `pow1_binary64_1844`
1×	`add-cbrt-cube_binary64_1819` `log-pow_binary64_1872` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `flip3-+_binary64_1786` `add-log-exp_binary64_1822` `rem-log-exp_binary64_1824`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1 x))

series20.0ms (0.6%)

Counts

1 → 6

Calls

1 calls:

20.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 64 to 56 computations (12.5% saved)

simplify122.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4811	220
1	4811	220

prune24.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Error

0.0b

Counts

22 → 4

Compiler

Compiled 210 to 162 computations (22.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (.f64 x -1/4)))))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (*.f64 x -1/4)))))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1805`
10×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
9×	`associate-l_binary64_1724` `associate-r_binary64_1723`
6×	`associate-*r/_binary64_1725` `add-log-exp_binary64_1822`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
1×	`+-commutative_binary64_1713` `sum-log_binary64_1874`

Counts

4 → 77

Calls

4 calls:

8.0ms	(.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (*.f64 x -1/4)))))
6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (.f64 x -1/4)))))))
3.0ms	(+.f64 1/3 (*.f64 x -1/4))

series151.0ms (4.6%)

Counts

4 → 25

Calls

4 calls:

53.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
34.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (.f64 x -1/4)))))))
32.0ms	(.f64 x (+.f64 -1/2 (.f64 x (+.f64 1/3 (*.f64 x -1/4)))))
31.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 478 to 401 computations (16.1% saved)

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5067	1610

prune104.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 2045 to 1523 computations (25.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(.f64 x (.f64 x (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 1/3 (*.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724` `*-un-lft-identity_binary64_1783`
8×	`associate-*r/_binary64_1725`
7×	`associate-r_binary64_1723`
6×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `add-log-exp_binary64_1822`
5×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`*-commutative_binary64_1714`
2×	`unswap-sqr_binary64_1751`
1×	`+-commutative_binary64_1713` `sum-log_binary64_1874`

Counts

4 → 79

Calls

4 calls:

11.0ms	(.f64 x (.f64 x (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
9.0ms	(.f64 x (+.f64 (.f64 x (+.f64 1/3 (*.f64 x -1/4))) -1/2))
6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
3.0ms	(+.f64 1/3 (*.f64 x -1/4))

series148.0ms (4.5%)

Counts

4 → 22

Calls

4 calls:

49.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
35.0ms	(.f64 x (.f64 x (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
32.0ms	(.f64 x (+.f64 (.f64 x (+.f64 1/3 (*.f64 x -1/4))) -1/2))
31.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 470 to 364 computations (22.6% saved)

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5159	1499

prune92.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Error

0.0b

Counts

104 → 3

Compiler

Compiled 1965 to 1371 computations (30.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
0.3b	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
14.0b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
14.6b	(log.f64 (+.f64 1 (pow.f64 x 3)))

rewrite46.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_1783`
16×	`log-prod_binary64_1869`
13×	`add-sqr-sqrt_binary64_1805`
11×	`pow1_binary64_1844`
10×	`add-cube-cbrt_binary64_1818`
8×	`log-div_binary64_1870`
7×	`log-pow_binary64_1872` `cancel-sign-sub-inv_binary64_1749`
6×	`add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
4×	`add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `distribute-lft-out--_binary64_1735` `flip3-+_binary64_1786` `associate--l+_binary64_1720` `associate--r+_binary64_1719`
2×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `associate--l-_binary64_1721` `diff-log_binary64_1875` `associate--r-_binary64_1722` `flip--_binary64_1758` `sub-neg_binary64_1776` `rem-log-exp_binary64_1824`
1×	`distribute-rgt-out--_binary64_1737`

Counts

4 → 78

Calls

4 calls:

22.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
8.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
4.0ms	(-.f64 (*.f64 x x) x)

series176.0ms (5.4%)

Counts

4 → 24

Calls

4 calls:

75.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
36.0ms	(-.f64 (*.f64 x x) x)
33.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
32.0ms	(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))

Compiler

Compiled 487 to 416 computations (14.6% saved)

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4898	1732
1	4898	1732

prune100.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	102	3	105

Error

0.0b

Counts

105 → 3

Compiler

Compiled 2016 to 1277 computations (36.7% saved)

regimes92.0ms (2.8%)

Accuracy

Total 0.2b remaining (88.6%)

Threshold costs 0.2b (88.6%)

Compiler

Compiled 571 to 488 computations (14.5% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.8s (53.8%)

Algorithm

1×

intervals

Results

893.0ms	2701×	body	1024	valid
216.0ms	1303×	body	512	valid
116.0ms	268×	body	2048	valid
95.0ms	3039×	body	128	valid
61.0ms	689×	body	256	valid

Compiler

Compiled 207 to 172 computations (16.9% saved)

Details

analyze3.0ms (0.1%)

sample49.0ms (1.5%)

simplify94.0ms (2.9%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series20.0ms (0.6%)

simplify122.0ms (3.7%)

prune24.0ms (0.7%)

localize9.0ms (0.3%)

rewrite29.0ms (0.9%)

series151.0ms (4.6%)

simplify74.0ms (2.2%)

prune104.0ms (3.2%)

localize9.0ms (0.3%)

rewrite35.0ms (1.1%)

series148.0ms (4.5%)

simplify39.0ms (1.2%)

prune92.0ms (2.8%)

localize10.0ms (0.3%)

rewrite46.0ms (1.4%)

series176.0ms (5.4%)

simplify73.0ms (2.2%)

prune100.0ms (3.1%)

regimes92.0ms (2.8%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (53.8%)

Profiling