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)

sample48.0ms (1.6%)

Algorithm

1×

intervals

Results

25.0ms	73×	body	1024	valid
6.0ms	41×	body	512	valid
5.0ms	11×	body	2048	valid
3.0ms	108×	body	128	valid
2.0ms	23×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify90.0ms (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

36.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.5b	(log.f64 (+.f64 1 x))
3.5b	(log.f64 (+.f64 1 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_823` `*-un-lft-identity_binary64_737`
2×	`add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `add-sqr-sqrt_binary64_759` `log-div_binary64_824`
1×	`add-cbrt-cube_binary64_773` `rem-log-exp_binary64_778` `add-log-exp_binary64_776` `flip3-+_binary64_740` `flip-+_binary64_711` `log-pow_binary64_826` `distribute-lft-out_binary64_688`

Counts

1 → 15

Calls

2 calls:

3.0ms	(log.f64 (+.f64 1 x))
0.0ms	(log.f64 (+.f64 1 x))

series29.0ms (0.9%)

Counts

1 → 8

Calls

1 calls:

29.0ms

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

Compiler

Compiled 112 to 99 computations (11.6% saved)

simplify78.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5302	245

prune26.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Compiler

Compiled 201 to 147 computations (26.9% saved)

localize10.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.3b	(*.f64 x 1/3)
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_759`
9×	`add-cbrt-cube_binary64_773` `add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `-un-lft-identity_binary64_737` `associate-l_binary64_678` `associate-r*_binary64_677`
4×	`associate-*r/_binary64_679`
3×	`unswap-sqr_binary64_705` `add-log-exp_binary64_776` `cbrt-unprod_binary64_770` `prod-exp_binary64_786` `pow-prod-down_binary64_808` `*-commutative_binary64_668`
2×	`distribute-lft-in_binary64_686` `flip3-+_binary64_740` `flip-+_binary64_711` `distribute-rgt-in_binary64_687`

Counts

3 → 62

Calls

6 calls:

6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(*.f64 x 1/3)
0.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))

series94.0ms (3.1%)

Counts

3 → 14

Calls

3 calls:

44.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
32.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
17.0ms	(*.f64 x 1/3)

Compiler

Compiled 235 to 201 computations (14.5% saved)

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5102	916

prune67.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 1177 to 873 computations (25.8% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.3b	(*.f64 x 1/3)
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_773` `add-exp-log_binary64_775` `pow1_binary64_798` `add-sqr-sqrt_binary64_759`
9×	`associate-l_binary64_678`
8×	`add-cube-cbrt_binary64_772` `*-un-lft-identity_binary64_737`
7×	`associate-r_binary64_677`
6×	`associate-*r/_binary64_679`
5×	`distribute-lft-in_binary64_686` `cbrt-unprod_binary64_770` `prod-exp_binary64_786` `distribute-rgt-in_binary64_687` `pow-prod-down_binary64_808`
3×	`add-log-exp_binary64_776` `*-commutative_binary64_668`
2×	`unswap-sqr_binary64_705` `flip3-+_binary64_740` `flip-+_binary64_711`

Counts

3 → 64

Calls

6 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)
0.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))

series123.0ms (4%)

Counts

3 → 15

Calls

3 calls:

60.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
46.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
16.0ms	(*.f64 x 1/3)

Compiler

Compiled 268 to 211 computations (21.3% saved)

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4933	861
1	4933	861

prune59.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 1150 to 779 computations (32.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	130
1	99	130

regimes29.0ms (0.9%)

Accuracy

Total 0.1b remaining (65.7%)

Threshold costs 0.1b (65.7%)

Compiler

Compiled 90 to 79 computations (12.2% saved)

bsearch16.0ms (0.5%)

Steps

Iters	Range		Point
9	2.4901820154347537e-07	19.276294674588097	0.00012347626382596744

Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample2.2s (71.5%)

Algorithm

1×

intervals

Results

883.0ms	2657×	body	1024	valid
220.0ms	1327×	body	512	valid
112.0ms	258×	body	2048	valid
95.0ms	3050×	body	128	valid
60.0ms	708×	body	256	valid

Compiler

Compiled 326 to 280 computations (14.1% saved)

Pareto

-0.34502556827047925

Details

analyze3.0ms (0.1%)

sample48.0ms (1.6%)

simplify90.0ms (2.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite4.0ms (0.1%)

series29.0ms (0.9%)

simplify78.0ms (2.6%)

prune26.0ms (0.8%)

localize10.0ms (0.3%)

rewrite20.0ms (0.6%)

series94.0ms (3.1%)

simplify73.0ms (2.4%)

prune67.0ms (2.2%)

localize8.0ms (0.2%)

rewrite24.0ms (0.8%)

series123.0ms (4%)

simplify58.0ms (1.9%)

prune59.0ms (1.9%)

simplify4.0ms (0.1%)

regimes29.0ms (0.9%)

bsearch16.0ms (0.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.2s (71.5%)

Profiling