Details

analyze369.0ms (5.8%)

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify399.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (254.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune2.0ms (0%)

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

7.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_9648`
53×	`*-un-lft-identity_binary64_9626`
42×	`times-frac_binary64_9632`
20×	`difference-of-squares_binary64_9595`
15×	`add-cube-cbrt_binary64_9661`
9×	`distribute-lft-out_binary64_9577`
8×	`associate-/r*_binary64_9570`
5×	`distribute-lft-out--_binary64_9578`
4×	`associate-/l*_binary64_9571`
3×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
2×	`associate-/l/_binary64_9573` `associate-/r/_binary64_9572`
1×	`flip3--_binary64_9630` `add-log-exp_binary64_9665` `div-exp_binary64_9677` `flip--_binary64_9601` `cbrt-undiv_binary64_9660` `pow1_binary64_9687` `flip-+_binary64_9600` `frac-2neg_binary64_9637` `div-inv_binary64_9623` `clear-num_binary64_9625` `flip3-+_binary64_9629`

Counts

1 → 60

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series63.0ms (1%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune103.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Error

5.5b

Counts

64 → 9

Compiler

Compiled 1296 to 555 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
7.5b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite103.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`times-frac_binary64_9632`
275×	`add-sqr-sqrt_binary64_9648`
273×	`*-un-lft-identity_binary64_9626`
107×	`add-cube-cbrt_binary64_9661`
84×	`difference-of-squares_binary64_9595`
42×	`associate-/r*_binary64_9570`
41×	`distribute-lft-out_binary64_9577`
21×	`distribute-lft-out--_binary64_9578`
15×	`add-exp-log_binary64_9664`
11×	`associate-/l*_binary64_9571` `associate-/r/_binary64_9572`
9×	`add-cbrt-cube_binary64_9662`
8×	`div-exp_binary64_9677`
6×	`div-inv_binary64_9623`
5×	`flip-+_binary64_9600` `flip3-+_binary64_9629`
4×	`cbrt-undiv_binary64_9660`
3×	`pow1_binary64_9687`
2×	`1-exp_binary64_9670` `rec-exp_binary64_9676` `add-log-exp_binary64_9665` `associate-/l/_binary64_9573` `frac-2neg_binary64_9637` `clear-num_binary64_9625`
1×	`flip3--_binary64_9630` `inv-pow_binary64_9711` `pow-flip_binary64_9700` `flip--_binary64_9601` `div-sub_binary64_9631`

Counts

2 → 237

Calls

2 calls:

29.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
13.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series198.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

140.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
58.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify216.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5361	6453

prune376.0ms (6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	240	12	252

Error

5.5b

Counts

252 → 12

Compiler

Compiled 5368 to 2396 computations (55.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
7.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite133.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-sqr-sqrt_binary64_9648`
205×	`*-un-lft-identity_binary64_9626`
166×	`times-frac_binary64_9632`
76×	`difference-of-squares_binary64_9595`
59×	`add-cube-cbrt_binary64_9661`
38×	`cbrt-prod_binary64_9657`
35×	`distribute-lft-out_binary64_9577`
24×	`associate-/r*_binary64_9570`
19×	`distribute-lft-out--_binary64_9578`
12×	`associate-/l*_binary64_9571`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
8×	`associate-/r/_binary64_9572`
6×	`associate-/l/_binary64_9573`
4×	`flip3--_binary64_9630` `add-log-exp_binary64_9665` `flip--_binary64_9601` `pow1_binary64_9687` `div-inv_binary64_9623`
3×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `flip-+_binary64_9600` `frac-2neg_binary64_9637` `clear-num_binary64_9625` `flip3-+_binary64_9629`
1×	`pow1/3_binary64_9708` `cbrt-div_binary64_9658`

Counts

4 → 227

Calls

4 calls:

23.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
19.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
15.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
12.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series693.0ms (11%)

Counts

4 → 12

Calls

4 calls:

476.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z))))
77.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
72.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
68.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4938	5886
1	4938	5886

prune547.0ms (8.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	239	12	251

Error

5.5b

Counts

251 → 12

Compiler

Compiled 10119 to 4479 computations (55.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (/.f64 y z))
0.2b	(*.f64 (/.f64 y z) (/.f64 y z))
3.5b	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
15.8b	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite66.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`*-un-lft-identity_binary64_9626`
81×	`times-frac_binary64_9632`
80×	`add-sqr-sqrt_binary64_9648`
54×	`add-cube-cbrt_binary64_9661`
39×	`associate-l_binary64_9567`
23×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
18×	`difference-of-squares_binary64_9595`
17×	`associate-r_binary64_9566`
13×	`swap-sqr_binary64_9593` `pow1_binary64_9687` `distribute-lft-out_binary64_9577`
6×	`add-log-exp_binary64_9665` `div-exp_binary64_9677` `prod-exp_binary64_9675` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `div-inv_binary64_9623` `cbrt-unprod_binary64_9659`
5×	`associate-/r*_binary64_9570`
4×	`flip-+_binary64_9600` `associate-/l*_binary64_9571` `associate-/r/_binary64_9572` `flip3-+_binary64_9629`
3×	`frac-times_binary64_9636` `associate-*r/_binary64_9568`
2×	`associate-l/_binary64_9569` `flip3--_binary64_9630` `pow-prod-down_binary64_9697` `-commutative_binary64_9557` `associate-/l/_binary64_9573` `flip--_binary64_9601`
1×	`distribute-rgt-in_binary64_9576` `pow-prod-up_binary64_9696` `pow2_binary64_9707` `pow-plus_binary64_9689` `+-commutative_binary64_9556` `frac-2neg_binary64_9637` `sum-log_binary64_9717` `clear-num_binary64_9625` `distribute-lft-in_binary64_9575` `pow-sqr_binary64_9599`

Counts

4 → 176

Calls

4 calls:

19.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
11.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
8.0ms	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
6.0ms	(+.f64 1 (/.f64 y z))

series204.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
82.0ms	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
23.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
10.0ms	(+.f64 1 (/.f64 y z))

simplify121.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4966	3747
1	4966	3747

prune271.0ms (4.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	188	12	200

Error

5.5b

Counts

200 → 12

Compiler

Compiled 4772 to 2015 computations (57.8% saved)

regimes430.0ms (6.8%)

Accuracy

Total 0.5b remaining (8.5%)

Threshold costs 0.5b (8.5%)

Compiler

Compiled 3141 to 2218 computations (29.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	98
1	61	98

end0.0ms (0%)

sample1.7s (27%)

Algorithm

1×

intervals

Results

422.0ms	7999×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 864 to 594 computations (31.3% saved)

Details

analyze369.0ms (5.8%)

sample24.0ms (0.4%)

simplify399.0ms (6.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite19.0ms (0.3%)

series63.0ms (1%)

simplify132.0ms (2.1%)

prune103.0ms (1.6%)

localize7.0ms (0.1%)

rewrite103.0ms (1.6%)

series198.0ms (3.1%)

simplify216.0ms (3.4%)

prune376.0ms (6%)

localize22.0ms (0.3%)

rewrite133.0ms (2.1%)

series693.0ms (11%)

simplify86.0ms (1.4%)

prune547.0ms (8.7%)

localize11.0ms (0.2%)

rewrite66.0ms (1.1%)

series204.0ms (3.2%)

simplify121.0ms (1.9%)

prune271.0ms (4.3%)

regimes430.0ms (6.8%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27%)

Profiling