Details

analyze543.0ms

Algorithm

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

sample46.0ms

Algorithm

intervals

Results

9.0ms	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	5×	body	160	nan
0.0ms	9×	body	80	nan

simplify411.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (271.0ms)

Iter	Nodes	Cost
0	5691	18

prune5.0ms

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

localize13.0ms

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

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_3127`
67×	`*-un-lft-identity_binary64_3142`
36×	`times-frac_binary64_3137`
33×	`difference-of-squares_binary64_3171`
19×	`add-cube-cbrt_binary64_3113`
18×	`distribute-lft-out--_binary64_3187`
16×	`log-prod_binary64_3060`
8×	`associate--r+_binary64_3197`
7×	`add-exp-log_binary64_3106` `add-log-exp_binary64_3107`
6×	`associate-/r*_binary64_3205` `pow1_binary64_3088` `add-cbrt-cube_binary64_3114` `flip--_binary64_3168` `flip3--_binary64_3141`
5×	`associate-/l*_binary64_3206`
4×	`log-div_binary64_3061`
3×	`associate--r-_binary64_3200`
2×	`associate-/l/_binary64_3208` `div-sub_binary64_3136` `log-pow_binary64_3063` `sub-neg_binary64_3146` `associate-/r/_binary64_3207` `diff-log_binary64_3058`
1×	`cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `clear-num_binary64_3145` `frac-2neg_binary64_3135` `rem-log-exp_binary64_3105` `div-inv_binary64_3143`

Counts

4 → 119

Calls

4 calls:

19.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
16.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
23.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
40.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
55.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5551	2793

prune400.0ms

Filtered

93 candidates to 131 candidates (-40.9%)

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

localize16.0ms

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

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_3127`
24×	`*-un-lft-identity_binary64_3142`
22×	`log-prod_binary64_3060`
16×	`sqrt-prod_binary64_3121` `difference-of-squares_binary64_3171`
8×	`pow1_binary64_3088` `times-frac_binary64_3137` `add-cube-cbrt_binary64_3113` `add-log-exp_binary64_3107`
6×	`log-pow_binary64_3063` `add-exp-log_binary64_3106`
4×	`distribute-lft-out--_binary64_3187` `add-cbrt-cube_binary64_3114` `flip--_binary64_3168` `flip3--_binary64_3141` `sqrt-div_binary64_3122` `log-div_binary64_3061`
2×	`div-sub_binary64_3136` `sqrt-pow1_binary64_3123` `associate--r-_binary64_3200` `sub-neg_binary64_3146` `pow1/2_binary64_3078` `diff-log_binary64_3058` `rem-log-exp_binary64_3105`

Counts

4 → 82

Calls

4 calls:

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

series220.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
37.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
68.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
78.0ms	(log.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5214	2318

prune42.0ms

Filtered: 68 candidates to 94 candidates (-38.2%)

Details

analyze543.0ms

sample46.0ms

simplify411.0ms

prune5.0ms

localize13.0ms

rewrite68.0ms

series172.0ms

simplify79.0ms

prune400.0ms

localize16.0ms

rewrite73.0ms

series220.0ms

simplify79.0ms

prune42.0ms

Profiling