Details

analyze130.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))

rewrite31.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_11331`
12×	`times-frac_binary64_11337`
10×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
4×	`distribute-lft-out_binary64_11282` `associate-/r*_binary64_11275`
3×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `associate-/l*_binary64_11276`
2×	`associate-/r/_binary64_11277`
1×	`pow1_binary64_11392` `div-exp_binary64_11382` `add-log-exp_binary64_11370` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `div-inv_binary64_11328` `flip3-+_binary64_11334` `flip-+_binary64_11305`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 404 to 116 computations (71.3% saved)

series74.0ms (3.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

59.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 435 to 322 computations (26% saved)

simplify50.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5348	671

prune30.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 547 to 161 computations (70.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite111.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`times-frac_binary64_11337`
92×	`*-un-lft-identity_binary64_11331`
60×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
19×	`associate-/r*_binary64_11275`
16×	`distribute-lft-out_binary64_11282`
15×	`add-exp-log_binary64_11369`
9×	`add-cbrt-cube_binary64_11367`
8×	`div-exp_binary64_11382`
7×	`associate-/l*_binary64_11276`
6×	`div-inv_binary64_11328`
4×	`cbrt-undiv_binary64_11365`
3×	`pow1_binary64_11392`
2×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `add-log-exp_binary64_11370` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/l/_binary64_11278`
1×	`inv-pow_binary64_11416` `pow-flip_binary64_11405` `associate-/r/_binary64_11277` `flip3-+_binary64_11334` `flip-+_binary64_11305`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
6.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 1985 to 779 computations (60.8% saved)

series146.0ms (7.5%)

Error

Counts

2 → 30

Calls

2 calls:

75.0ms	(/.f64 (+.f64 x y) x)
55.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 609 to 475 computations (22% saved)

simplify79.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5097	2233

prune88.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Error

Counts

154 → 3

Compiler

Compiled 1872 to 679 computations (63.7% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.2b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite138.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`*-un-lft-identity_binary64_11331`
60×	`times-frac_binary64_11337`
46×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
42×	`cbrt-prod_binary64_11362`
36×	`unpow-prod-down_binary64_11410` `cube-prod_binary64_11359`
16×	`distribute-lft-out_binary64_11282`
10×	`associate-/r/_binary64_11277`
8×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
5×	`div-inv_binary64_11328` `flip3-+_binary64_11334` `flip-+_binary64_11305`
4×	`pow1_binary64_11392` `associate-/r*_binary64_11275`
3×	`add-log-exp_binary64_11370` `pow-unpow_binary64_11408` `associate-/l*_binary64_11276`
2×	`cube-div_binary64_11360` `unpow3_binary64_11397` `cube-mult_binary64_11361` `sqr-pow_binary64_11303` `div-exp_binary64_11382` `pow-exp_binary64_11399` `rem-cube-cbrt_binary64_11354` `cbrt-undiv_binary64_11365`
1×	`pow1/3_binary64_11413` `cbrt-div_binary64_11363` `rem-cbrt-cube_binary64_11355` `pow-pow_binary64_11403` `pow-to-exp_binary64_11400` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

3 → 141

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2470 to 1006 computations (59.3% saved)

series277.0ms (14.3%)

Error

Counts

3 → 54

Calls

3 calls:

100.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
73.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
59.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1674 to 1340 computations (20% saved)

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5143	3054

prune124.0ms (6.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Error

Counts

198 → 3

Compiler

Compiled 2588 to 1001 computations (61.3% saved)

regimes56.0ms (2.9%)

Accuracy

Total 0.0b remaining (86.1%)

Threshold costs 0.0b (86.1%)

Compiler

Compiled 350 to 244 computations (30.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample513.0ms (26.5%)

Algorithm

1×

intervals

Results

153.0ms

8000×

body

128

valid

Compiler

Compiled 123 to 87 computations (29.3% saved)

Details

analyze130.0ms (6.7%)

sample12.0ms (0.6%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite31.0ms (1.6%)

series74.0ms (3.8%)

simplify50.0ms (2.6%)

prune30.0ms (1.5%)

localize5.0ms (0.2%)

rewrite111.0ms (5.7%)

series146.0ms (7.5%)

simplify79.0ms (4.1%)

prune88.0ms (4.5%)

localize6.0ms (0.3%)

rewrite138.0ms (7.1%)

series277.0ms (14.3%)

simplify56.0ms (2.9%)

prune124.0ms (6.4%)

regimes56.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample513.0ms (26.5%)

Profiling