Details

analyze540.0ms (37.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample39.0ms (2.7%)

Algorithm

1×

intervals

Results

8.0ms	183×	body	80	valid
7.0ms	28×	body	1280	valid
4.0ms	23×	body	1280	nan
4.0ms	22×	body	640	valid
3.0ms	23×	body	640	nan
2.0ms	14×	body	320	valid
2.0ms	15×	body	320	nan
1.0ms	9×	body	160	valid
0.0ms	9×	body	80	nan
0.0ms	5×	body	160	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify262.0ms (18%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (253.0ms)

Iter	Nodes	Cost
0	4869	18
1	4869	18

prune7.0ms (0.5%)

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

Merged error: 17.9b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.1b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.7b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite68.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
33×	`difference-of-squares_binary64`
19×	`add-cube-cbrt_binary64`
18×	`distribute-lft-out--_binary64`
16×	`log-prod_binary64`
8×	`associate--r+_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`associate-/l*_binary64`
4×	`log-div_binary64`
3×	`associate--r-_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `log-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 119

Calls

4 calls:

21.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
16.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
16.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series45.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
14.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
9.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
6.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify97.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5612	2791

prune148.0ms (10.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	5	132

Merged error: 0.2b

Counts

132 → 5

Compiler

Compiled 2819 to 1835 computations (34.9% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

2.1b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
2.1b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.8b	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
4.8b	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))

rewrite73.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
22×	`log-prod_binary64`
16×	`difference-of-squares_binary64` `sqrt-prod_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3--_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `log-div_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `div-sub_binary64`

Counts

4 → 82

Calls

4 calls:

19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
18.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
17.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
16.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

series54.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
17.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify84.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5210	2318

Details

analyze540.0ms (37.1%)

sample39.0ms (2.7%)

simplify262.0ms (18%)

prune7.0ms (0.5%)

localize8.0ms (0.6%)

rewrite68.0ms (4.6%)

series45.0ms (3.1%)

simplify97.0ms (6.6%)

prune148.0ms (10.2%)

localize10.0ms (0.7%)

rewrite73.0ms (5%)

series54.0ms (3.7%)

simplify84.0ms (5.8%)

prune20.0ms (1.4%)

Profiling