Details

analyze967.0ms (11.8%)

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)

sample45.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	191×	body	128	valid
6.0ms	41×	body	1024	nan
6.0ms	28×	body	1024	valid
3.0ms	27×	body	512	nan
3.0ms	20×	body	512	valid
2.0ms	20×	body	256	nan
2.0ms	15×	body	256	valid
1.0ms	2×	body	2048	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify594.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (400.0ms)

Iter	Nodes	Cost
0	5118	18

prune4.0ms (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

Merged error: 17.0b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.1%)

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))
2.5b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
5.0b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite103.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`add-sqr-sqrt_binary64_12717`
107×	`*-un-lft-identity_binary64_12695`
66×	`times-frac_binary64_12701`
49×	`difference-of-squares_binary64_12664`
40×	`cancel-sign-sub-inv_binary64_12661`
32×	`add-cube-cbrt_binary64_12730`
29×	`distribute-lft-out--_binary64_12647`
16×	`log-prod_binary64_12781`
8×	`associate--r+_binary64_12631`
7×	`flip3--_binary64_12699` `flip--_binary64_12670` `add-exp-log_binary64_12733` `pow1_binary64_12756` `add-log-exp_binary64_12734`
6×	`associate-/r*_binary64_12639` `add-cbrt-cube_binary64_12731`
5×	`associate-/l*_binary64_12640`
4×	`associate-/r/_binary64_12641` `log-div_binary64_12782`
3×	`associate--r-_binary64_12634` `log-pow_binary64_12784`
2×	`diff-log_binary64_12787` `associate-/l/_binary64_12642` `div-inv_binary64_12692` `div-sub_binary64_12700` `sub-neg_binary64_12688`
1×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `rem-log-exp_binary64_12736` `frac-2neg_binary64_12706` `clear-num_binary64_12694`

Counts

4 → 159

Calls

4 calls:

29.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
27.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
20.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series472.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
147.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
92.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
82.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5405	3439

prune278.0ms (3.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	167	5	172

Merged error: 0.1b

Counts

172 → 5

Compiler

Compiled 3421 to 2201 computations (35.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.5b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite106.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`add-sqr-sqrt_binary64_12717`
145×	`*-un-lft-identity_binary64_12695`
124×	`times-frac_binary64_12701`
67×	`difference-of-squares_binary64_12664`
54×	`add-cube-cbrt_binary64_12730`
36×	`cancel-sign-sub-inv_binary64_12661`
32×	`distribute-lft-out--_binary64_12647`
30×	`log-prod_binary64_12781`
14×	`associate-/r*_binary64_12639`
13×	`add-exp-log_binary64_12733`
8×	`associate-/l*_binary64_12640` `associate-/r/_binary64_12641` `add-cbrt-cube_binary64_12731`
6×	`flip3--_binary64_12699` `flip--_binary64_12670` `add-log-exp_binary64_12734`
5×	`div-exp_binary64_12746` `pow1_binary64_12756`
4×	`div-inv_binary64_12692`
3×	`rem-log-exp_binary64_12736`
2×	`cbrt-undiv_binary64_12729` `associate-/l/_binary64_12642` `frac-2neg_binary64_12706` `div-sub_binary64_12700` `e-exp-1_binary64_12740` `clear-num_binary64_12694`
1×	`associate--r-_binary64_12634` `log-pow_binary64_12784` `diff-log_binary64_12787` `log-div_binary64_12782` `sub-neg_binary64_12688`

Counts

4 → 203

Calls

4 calls:

23.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
23.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
23.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series552.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
177.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
143.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
55.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5036	5321

prune297.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	216	4	220

Merged error: 0.0b

Counts

220 → 4

Compiler

Compiled 4554 to 2659 computations (41.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
0.2b	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_12695` `add-exp-log_binary64_12733`
7×	`pow1_binary64_12756`
6×	`add-sqr-sqrt_binary64_12717`
5×	`associate-r_binary64_12635`
4×	`prod-exp_binary64_12744` `add-cube-cbrt_binary64_12730` `add-cbrt-cube_binary64_12731` `associate-*r/_binary64_12637`
3×	`associate-l_binary64_12636` `rem-log-exp_binary64_12736`
2×	`log-pow_binary64_12784` `distribute-lft-out_binary64_12646` `log-div_binary64_12782` `flip-+_binary64_12669` `pow-prod-down_binary64_12766` `e-exp-1_binary64_12740` `flip3-+_binary64_12698` `add-log-exp_binary64_12734`
1×	`distribute-lft-out--_binary64_12647` `log-prod_binary64_12781` `*-commutative_binary64_12626` `distribute-rgt-in_binary64_12645` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `distribute-lft-in_binary64_12644`

Counts

2 → 40

Calls

2 calls:

11.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))
8.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))

series106.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
37.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5026	612

prune46.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	46	4	50

Merged error: 0b

Counts

50 → 4

Compiler

Compiled 637 to 380 computations (40.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y))))))
1.8b	(exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y)))))
5.0b	(log.f64 (+.f64 1 (-.f64 x y)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_12695`
10×	`exp-prod_binary64_12747`
9×	`log-pow_binary64_12784` `log-prod_binary64_12781`
8×	`log-div_binary64_12782`
7×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `pow1_binary64_12756`
6×	`distribute-lft-out_binary64_12646`
5×	`add-log-exp_binary64_12734`
4×	`exp-diff_binary64_12743` `associate-+r-_binary64_12629` `add-exp-log_binary64_12733`
3×	`flip-+_binary64_12669` `flip3-+_binary64_12698` `add-cbrt-cube_binary64_12731`
2×	`rem-exp-log_binary64_12735` `rem-log-exp_binary64_12736` `exp-sum_binary64_12741`
1×	`distribute-lft-out--_binary64_12647` `sum-log_binary64_12786`

Counts

3 → 53

Calls

3 calls:

6.0ms	(log.f64 (+.f64 1 (-.f64 x y)))
6.0ms	(log.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y))))))
6.0ms	(exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y)))))

series368.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

158.0ms	(exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y)))))
155.0ms	(log.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 x y))))))
55.0ms	(log.f64 (+.f64 1 (-.f64 x y)))

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4997	900
1	4997	900

prune67.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

Compiler

Compiled 900 to 594 computations (34% saved)

regimes861.0ms (10.5%)

Compiler: Compiled 5929 to 4710 computations (20.6% saved)

bsearch165.0ms (2%)

Steps

Iters	Range		Point
10	0.014430203578746617	88816048389.19395	39022702.812917
9	-4.940545906338558e+28	-1.882930462828309e+20	-1.9232412763397154e+20

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	97	63
1	97	63

end0.0ms (0%)

sample2.6s (32.1%)

Algorithm

1×

intervals

Results

400.0ms	5877×	body	128	valid
266.0ms	1013×	body	1024	valid
200.0ms	1026×	body	1024	nan
119.0ms	661×	body	512	valid
104.0ms	649×	body	512	nan
45.0ms	387×	body	256	valid
39.0ms	387×	body	256	nan
27.0ms	62×	body	2048	valid
22.0ms	445×	body	128	nan
1.0ms	3×	body	2048	nan

Compiler

Compiled 993 to 780 computations (21.5% saved)

Details

analyze967.0ms (11.8%)

sample45.0ms (0.5%)

simplify594.0ms (7.3%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite103.0ms (1.3%)

series472.0ms (5.8%)

simplify151.0ms (1.8%)

prune278.0ms (3.4%)

localize9.0ms (0.1%)

rewrite106.0ms (1.3%)

series552.0ms (6.7%)

simplify121.0ms (1.5%)

prune297.0ms (3.6%)

localize7.0ms (0.1%)

rewrite22.0ms (0.3%)

series106.0ms (1.3%)

simplify67.0ms (0.8%)

prune46.0ms (0.6%)

localize9.0ms (0.1%)

rewrite23.0ms (0.3%)

series368.0ms (4.5%)

simplify101.0ms (1.2%)

prune67.0ms (0.8%)

regimes861.0ms (10.5%)

bsearch165.0ms (2%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.6s (32.1%)

Profiling