Details

analyze143.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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 (+.f64 x y) x)

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_13036` `add-log-exp_binary64_13075`
3×	`distribute-lft-out_binary64_12987` `sum-log_binary64_13127`
1×	`add-sqr-sqrt_binary64_13058` `flip3-+_binary64_13039` `pow1_binary64_13097` `add-cbrt-cube_binary64_13072` `flip-+_binary64_13010` `associate-+l+_binary64_12969` `add-exp-log_binary64_13074` `+-commutative_binary64_12966` `add-cube-cbrt_binary64_13071`

Counts

1 → 15

Calls

1 calls:

6.0ms

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

series17.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4958	169
1	4958	169

prune14.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

0.0b

Counts

19 → 3

Compiler

Compiled 178 to 50 computations (71.9% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite43.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_13036`
51×	`cbrt-prod_binary64_13067`
33×	`distribute-lft-out_binary64_12987`
23×	`add-sqr-sqrt_binary64_13058`
18×	`cbrt-div_binary64_13068`
15×	`add-cube-cbrt_binary64_13071`
14×	`swap-sqr_binary64_13003`
11×	`pow1_binary64_13097`
9×	`flip3-+_binary64_13039` `pow1/3_binary64_13118` `flip-+_binary64_13010`
8×	`associate-r_binary64_12976` `associate-l_binary64_12977`
6×	`add-exp-log_binary64_13074`
4×	`add-log-exp_binary64_13075` `unswap-sqr_binary64_13004` `add-cbrt-cube_binary64_13072` `frac-times_binary64_13046`
2×	`pow-sqr_binary64_13009` `associate-l/_binary64_12979` `pow-prod-up_binary64_13106` `associate-r/_binary64_12978` `pow-prod-down_binary64_13107`
1×	`pow2_binary64_13117` `prod-exp_binary64_13085` `pow-plus_binary64_13099` `*-commutative_binary64_12967` `cbrt-unprod_binary64_13069`

Counts

4 → 105

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series616.0ms (33.8%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
150.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
147.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
144.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify125.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4863	2010
1	4863	2010

prune97.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 2898 to 612 computations (78.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 x (+.f64 x y)) 3)
0.0b	(+.f64 x (+.f64 x y))
41.9b	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_13036`
16×	`cbrt-prod_binary64_13067`
15×	`distribute-lft-out_binary64_12987`
10×	`cube-prod_binary64_13064` `unpow-prod-down_binary64_13115`
9×	`add-sqr-sqrt_binary64_13058` `add-cube-cbrt_binary64_13071`
8×	`add-log-exp_binary64_13075`
4×	`pow1_binary64_13097` `add-cbrt-cube_binary64_13072` `cube-div_binary64_13065` `add-exp-log_binary64_13074`
3×	`pow-unpow_binary64_13113` `flip3-+_binary64_13039` `flip-+_binary64_13010` `sum-log_binary64_13127`
2×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `cbrt-div_binary64_13068` `sqr-pow_binary64_13008`
1×	`pow-pow_binary64_13108` `pow-exp_binary64_13104` `rem-cbrt-cube_binary64_13060` `pow1/3_binary64_13118` `pow-to-exp_binary64_13105` `associate-+r+_binary64_12968` `rem-cube-cbrt_binary64_13059` `+-commutative_binary64_12966`

Counts

3 → 71

Calls

3 calls:

7.0ms	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
6.0ms	(pow.f64 (+.f64 x (+.f64 x y)) 3)
6.0ms	(+.f64 x (+.f64 x y))

series76.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(pow.f64 (+.f64 x (+.f64 x y)) 3)
27.0ms	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
16.0ms	(+.f64 x (+.f64 x y))

simplify72.0ms (4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4920	1006
1	4920	1006

prune53.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	82	1	83

Error

Counts

83 → 1

Compiler

Compiled 954 to 367 computations (61.5% saved)

localize6.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes38.0ms (2.1%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 182 to 118 computations (35.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample390.0ms (21.4%)

Algorithm

1×

intervals

Results

135.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 75 to 54 computations (28% saved)

Details

analyze143.0ms (7.9%)

sample10.0ms (0.5%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite7.0ms (0.4%)

series17.0ms (0.9%)

simplify56.0ms (3.1%)

prune14.0ms (0.7%)

localize7.0ms (0.4%)

rewrite43.0ms (2.3%)

series616.0ms (33.8%)

simplify125.0ms (6.9%)

prune97.0ms (5.3%)

localize6.0ms (0.3%)

rewrite24.0ms (1.3%)

series76.0ms (4.2%)

simplify72.0ms (4%)

prune53.0ms (2.9%)

localize6.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune1.0ms (0%)

regimes38.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample390.0ms (21.4%)

Profiling