Details

analyze93.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	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)

sample57.0ms (2.2%)

Algorithm

1×

intervals

Results

33.0ms	102×	body	1024	valid
7.0ms	46×	body	512	valid
4.0ms	8×	body	2048	valid
2.0ms	81×	body	128	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.3%)

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

43.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

4.0b	(log.f64 (+.f64 1 x))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

43.3b

Rules

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

Counts

1 → 15

Calls

1 calls:

3.0ms

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

Compiler

Compiled 152 to 124 computations (18.4% saved)

series39.0ms (1.5%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

29.0ms

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

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify72.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5015	267

prune22.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 220 to 158 computations (28.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.3b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite85.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`add-sqr-sqrt_binary64_1805`
6×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
5×	`add-log-exp_binary64_1822`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r/_binary64_1725` `associate-l*_binary64_1724`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

3 → 56

Calls

3 calls:

11.0ms	(.f64 (.f64 x 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))

Compiler

Compiled 1349 to 901 computations (33.2% saved)

series131.0ms (5%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

51.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
39.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
28.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 587 to 425 computations (27.6% saved)

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4899	1038
1	4899	1038

prune68.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Error

0.0b

Counts

75 → 2

Compiler

Compiled 1407 to 937 computations (33.4% saved)

regimes88.0ms (3.3%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

Compiler

Compiled 504 to 430 computations (14.7% 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	27	37
1	27	37

end0.0ms (0%)

sample1.8s (69.9%)

Algorithm

1×

intervals

Results

881.0ms	2673×	body	1024	valid
221.0ms	1323×	body	512	valid
119.0ms	276×	body	2048	valid
97.0ms	3086×	body	128	valid
54.0ms	642×	body	256	valid

Compiler

Compiled 195 to 162 computations (16.9% saved)

Details

analyze93.0ms (3.5%)

sample57.0ms (2.2%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite16.0ms (0.6%)

series39.0ms (1.5%)

simplify72.0ms (2.7%)

prune22.0ms (0.8%)

localize8.0ms (0.3%)

rewrite85.0ms (3.2%)

series131.0ms (5%)

simplify95.0ms (3.6%)

prune68.0ms (2.6%)

regimes88.0ms (3.3%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (69.9%)

Profiling