Details

analyze187.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune5.0ms (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 22 to 18 computations (18.2% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))

rewrite103.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_4852`
41×	`times-frac_binary64_4858`
40×	`add-sqr-sqrt_binary64_4874`
24×	`add-cube-cbrt_binary64_4887`
12×	`distribute-lft-out_binary64_4803`
11×	`associate-/r*_binary64_4796`
9×	`add-exp-log_binary64_4890`
8×	`difference-of-squares_binary64_4821`
7×	`add-cbrt-cube_binary64_4888`
6×	`distribute-lft-out--_binary64_4804` `associate-/l*_binary64_4797`
5×	`add-log-exp_binary64_4891`
4×	`difference-of-sqr-1_binary64_4822` `associate-/r/_binary64_4798` `pow1_binary64_4913`
3×	`div-inv_binary64_4849` `div-exp_binary64_4903`
2×	`flip-+_binary64_4826` `clear-num_binary64_4851` `cbrt-undiv_binary64_4886` `flip3-+_binary64_4855` `frac-2neg_binary64_4863`
1×	`pow-flip_binary64_4926` `+-commutative_binary64_4782` `flip3--_binary64_4856` `1-exp_binary64_4896` `frac-add_binary64_4860` `rec-exp_binary64_4902` `flip--_binary64_4827` `inv-pow_binary64_4937` `sum-log_binary64_4943`

Counts

3 → 100

Calls

3 calls:

59.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
13.0ms	(/.f64 1 (-.f64 x 1))
10.0ms	(/.f64 x (+.f64 x 1))

series228.0ms (4.8%)

Counts

3 → 35

Calls

3 calls:

120.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
54.0ms	(/.f64 1 (-.f64 x 1))
54.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 508 to 442 computations (13% saved)

simplify190.0ms (4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4920	1869
1	4920	1869

prune245.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Error

Counts

136 → 2

Compiler

Compiled 2191 to 1597 computations (27.1% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 1 (+.f64 -1 x))
0.1b	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)
23.3b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3))

rewrite89.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64_4852`
72×	`times-frac_binary64_4858`
56×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874`
42×	`cbrt-prod_binary64_4883`
36×	`cube-prod_binary64_4880` `unpow-prod-down_binary64_4931`
20×	`distribute-lft-out_binary64_4803`
15×	`add-exp-log_binary64_4890`
12×	`associate-/r/_binary64_4798`
11×	`add-cbrt-cube_binary64_4888`
8×	`associate-/r*_binary64_4796`
7×	`pow1_binary64_4913`
6×	`flip-+_binary64_4826` `div-inv_binary64_4849` `associate-/l*_binary64_4797` `flip3-+_binary64_4855`
5×	`div-exp_binary64_4903`
4×	`add-log-exp_binary64_4891` `pow-exp_binary64_4920`
3×	`pow-pow_binary64_4924` `pow-unpow_binary64_4929` `cbrt-undiv_binary64_4886`
2×	`pow-flip_binary64_4926` `rem-cube-cbrt_binary64_4875` `1-exp_binary64_4896` `cube-mult_binary64_4882` `clear-num_binary64_4851` `rec-exp_binary64_4902` `cube-div_binary64_4881` `inv-pow_binary64_4937` `unpow3_binary64_4918` `frac-2neg_binary64_4863` `sqr-pow_binary64_4824`
1×	`pow1/3_binary64_4934` `cbrt-div_binary64_4884` `pow-to-exp_binary64_4921` `rem-cbrt-cube_binary64_4876`

Counts

4 → 182

Calls

4 calls:

20.0ms	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)
17.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3))
11.0ms	(/.f64 1 (+.f64 -1 x))
11.0ms	(/.f64 x (+.f64 x 1))

series273.0ms (5.8%)

Counts

4 → 48

Calls

4 calls:

84.0ms	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)
67.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3))
66.0ms	(/.f64 x (+.f64 x 1))
56.0ms	(/.f64 1 (+.f64 -1 x))

Compiler

Compiled 898 to 762 computations (15.1% saved)

simplify178.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5119	2960

prune514.0ms (10.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	230	2	232

Error

Counts

232 → 2

Compiler

Compiled 4169 to 3227 computations (22.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 1 x))
0.0b	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)
0.0b	(/.f64 1 (+.f64 -1 x))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))

rewrite157.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`*-un-lft-identity_binary64_4852`
56×	`times-frac_binary64_4858`
48×	`distribute-lft-out_binary64_4803`
28×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874`
24×	`cbrt-prod_binary64_4883`
18×	`cube-prod_binary64_4880` `unpow-prod-down_binary64_4931`
11×	`add-exp-log_binary64_4890`
9×	`add-cbrt-cube_binary64_4888`
8×	`associate-/r*_binary64_4796`
6×	`div-inv_binary64_4849` `associate-/l*_binary64_4797` `pow1_binary64_4913` `cube-div_binary64_4881`
4×	`flip-+_binary64_4826` `add-log-exp_binary64_4891` `associate-/r/_binary64_4798` `flip3-+_binary64_4855`
3×	`cbrt-div_binary64_4884` `pow-unpow_binary64_4929` `div-exp_binary64_4903`
2×	`frac-add_binary64_4860` `cube-mult_binary64_4882` `clear-num_binary64_4851` `unpow3_binary64_4918` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `sqr-pow_binary64_4824`
1×	`pow-flip_binary64_4926` `pow-pow_binary64_4924` `rem-cube-cbrt_binary64_4875` `1-exp_binary64_4896` `pow1/3_binary64_4934` `pow-to-exp_binary64_4921` `rec-exp_binary64_4902` `pow-exp_binary64_4920` `inv-pow_binary64_4937` `rem-cbrt-cube_binary64_4876`

Counts

4 → 144

Calls

4 calls:

52.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
52.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)
17.0ms	(/.f64 x (+.f64 1 x))
11.0ms	(/.f64 1 (+.f64 -1 x))

series432.0ms (9.1%)

Counts

4 → 47

Calls

4 calls:

166.0ms	(pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3)
142.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 1 x))) 3))
67.0ms	(/.f64 1 (+.f64 -1 x))
57.0ms	(/.f64 x (+.f64 1 x))

Compiler

Compiled 754 to 682 computations (9.5% saved)

simplify537.0ms (11.3%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5058	3276

prune388.0ms (8.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	191	2	193

Error

Counts

193 → 2

Compiler

Compiled 3520 to 2722 computations (22.7% saved)

regimes92.0ms (1.9%)

Accuracy

Total 0.0b remaining (94.4%)

Threshold costs 0.0b (94.4%)

Compiler

Compiled 255 to 217 computations (14.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample1.0s (21.7%)

Algorithm

1×

intervals

Results

470.0ms

8000×

body

128

valid

Compiler

Compiled 124 to 106 computations (14.5% saved)

Details

analyze187.0ms (3.9%)

sample27.0ms (0.6%)

simplify14.0ms (0.3%)

prune5.0ms (0.1%)

localize14.0ms (0.3%)

rewrite103.0ms (2.2%)

series228.0ms (4.8%)

simplify190.0ms (4%)

prune245.0ms (5.2%)

localize21.0ms (0.4%)

rewrite89.0ms (1.9%)

series273.0ms (5.8%)

simplify178.0ms (3.8%)

prune514.0ms (10.8%)

localize19.0ms (0.4%)

rewrite157.0ms (3.3%)

series432.0ms (9.1%)

simplify537.0ms (11.3%)

prune388.0ms (8.2%)

regimes92.0ms (1.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.0s (21.7%)

Profiling