Details

analyze147.0ms (5.4%)

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)

sample58.0ms (2.1%)

Algorithm

1×

intervals

Results

29.0ms	86×	body	1024	valid
7.0ms	41×	body	512	valid
5.0ms	12×	body	2048	valid
3.0ms	93×	body	128	valid
2.0ms	24×	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

39.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.7b	(log.f64 (+.f64 1 x))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

39.2b

Rules

4×	`log-prod_binary64_2551` `*-un-lft-identity_binary64_2465`
2×	`pow1_binary64_2526` `log-div_binary64_2552` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `add-exp-log_binary64_2503`
1×	`log-pow_binary64_2554` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `rem-log-exp_binary64_2506` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`

Counts

1 → 15

Calls

1 calls:

3.0ms

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

Compiler

Compiled 139 to 113 computations (18.7% saved)

series56.0ms (2%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

44.0ms

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

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify72.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5015	267

prune21.0ms (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 211 to 152 computations (28% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.1b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite96.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-sqr-sqrt_binary64_2487`
6×	`add-cube-cbrt_binary64_2500` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
5×	`add-log-exp_binary64_2504`
4×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r/_binary64_2407` `associate-l*_binary64_2406`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395`

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 1281 to 857 computations (33.1% saved)

series206.0ms (7.5%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

82.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
60.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
48.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 490 to 365 computations (25.5% saved)

simplify93.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4899	1038
1	4899	1038

prune72.0ms (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 1085 to 731 computations (32.6% saved)

regimes139.0ms (5.1%)

Accuracy

Total 0.1b remaining (83.9%)

Threshold costs 0.1b (83.9%)

Compiler

Compiled 819 to 682 computations (16.7% 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

end2.0ms (0.1%)

Compiler: Compiled 25 to 19 computations (24% saved)

sample1.7s (63.1%)

Algorithm

1×

intervals

Results

887.0ms	2667×	body	1024	valid
232.0ms	1394×	body	512	valid
106.0ms	230×	body	2048	valid
96.0ms	3024×	body	128	valid
67.0ms	685×	body	256	valid

Compiler

Compiled 71 to 61 computations (14.1% saved)

Details

analyze147.0ms (5.4%)

sample58.0ms (2.1%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite20.0ms (0.7%)

series56.0ms (2%)

simplify72.0ms (2.6%)

prune21.0ms (0.8%)

localize10.0ms (0.3%)

rewrite96.0ms (3.5%)

series206.0ms (7.5%)

simplify93.0ms (3.4%)

prune72.0ms (2.6%)

regimes139.0ms (5.1%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end2.0ms (0.1%)

sample1.7s (63.1%)

Profiling