Details

analyze164.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	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 11 computations (8.3% saved)

sample42.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	135×	body	128	valid
11.0ms	73×	body	512	valid
4.0ms	40×	body	256	valid
2.0ms	8×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	76	16
1	76	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

18.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
4.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite454.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

17.0b

Rules

118×	`*-un-lft-identity_binary64_3829`
95×	`add-sqr-sqrt_binary64_3851`
90×	`times-frac_binary64_3835`
43×	`add-cube-cbrt_binary64_3864`
30×	`distribute-lft-out--_binary64_3781`
27×	`cancel-sign-sub-inv_binary64_3795`
23×	`difference-of-squares_binary64_3798`
11×	`add-exp-log_binary64_3867` `associate-/r*_binary64_3773`
10×	`distribute-lft-out_binary64_3780`
8×	`associate-/r/_binary64_3775`
7×	`add-cbrt-cube_binary64_3865` `difference-of-sqr-1_binary64_3799` `div-inv_binary64_3826`
6×	`associate-/l*_binary64_3774`
5×	`add-log-exp_binary64_3868` `pow1_binary64_3890`
4×	`flip--_binary64_3804` `div-exp_binary64_3880`
3×	`flip3--_binary64_3833`
2×	`flip-+_binary64_3803` `inv-pow_binary64_3914` `pow-flip_binary64_3903` `1-exp_binary64_3873` `rec-exp_binary64_3879` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828`
1×	`diff-log_binary64_3921` `frac-sub_binary64_3838` `sub-neg_binary64_3822` `flip3-+_binary64_3832`

Counts

3 → 151

Calls

3 calls:

59.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
15.0ms	(/.f64 1 (+.f64 x 1))
10.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 2962 to 2486 computations (16.1% saved)

series262.0ms (3.3%)

Error

0.2b

Counts

3 → 34

Calls

3 calls:

110.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
48.0ms	(/.f64 1 (-.f64 x 1))
47.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1090 to 931 computations (14.6% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4930	2739
1	4930	2739

prune313.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	3	186

Error

0.2b

Counts

186 → 3

Compiler

Compiled 3038 to 2437 computations (19.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
3.2b	(+.f64 x (-.f64 -2 x))

rewrite155.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

44×	`*-un-lft-identity_binary64_3829`
20×	`times-frac_binary64_3835`
14×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
12×	`distribute-lft-out_binary64_3780`
7×	`add-log-exp_binary64_3868`
6×	`distribute-lft-out--_binary64_3781` `difference-of-sqr--1_binary64_3800`
5×	`associate-/l*_binary64_3774`
4×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-+r+_binary64_3761` `associate-/r*_binary64_3773`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `cancel-sign-sub-inv_binary64_3795`
2×	`sum-log_binary64_3920` `pow1_binary64_3890` `associate-+r-_binary64_3763` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775`
1×	`diff-log_binary64_3921` `sub-neg_binary64_3822` `+-commutative_binary64_3759` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `div-inv_binary64_3826`

Counts

2 → 65

Calls

2 calls:

24.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
12.0ms	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 1310 to 813 computations (37.9% saved)

series112.0ms (1.4%)

Error

0.2b

Counts

2 → 13

Calls

2 calls:

79.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
13.0ms	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 387 to 342 computations (11.6% saved)

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5599	1057

prune127.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	77	4	81

Error

0.0b

Counts

81 → 4

Compiler

Compiled 1125 to 746 computations (33.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -2 (+.f64 x 1))
0.1b	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))

rewrite517.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_3835`
207×	`*-un-lft-identity_binary64_3829`
170×	`add-sqr-sqrt_binary64_3851`
94×	`add-cube-cbrt_binary64_3864`
38×	`difference-of-squares_binary64_3798`
28×	`distribute-lft-out_binary64_3780`
21×	`associate-/l*_binary64_3774`
20×	`associate-/r/_binary64_3775`
19×	`difference-of-sqr-1_binary64_3799` `distribute-lft-out--_binary64_3781`
11×	`associate-/r*_binary64_3773`
10×	`div-inv_binary64_3826`
9×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803`
4×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863`
2×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `frac-2neg_binary64_3840` `clear-num_binary64_3828`
1×	`associate-/l/_binary64_3776` `flip3--_binary64_3833` `flip--_binary64_3804`

Counts

2 → 201

Calls

2 calls:

25.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
9.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 4298 to 3468 computations (19.3% saved)

series184.0ms (2.3%)

Error

0.0b

Counts

2 → 22

Calls

2 calls:

101.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
50.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 752 to 657 computations (12.6% saved)

simplify196.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5036	5317

prune462.0ms (5.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	223	4	227

Error

Counts

227 → 4

Compiler

Compiled 4144 to 3207 computations (22.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64_3835`
10×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
4×	`difference-of-sqr--1_binary64_3800` `associate-/r*_binary64_3773`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-/l*_binary64_3774`
2×	`associate-/r/_binary64_3775`
1×	`pow1_binary64_3890` `div-exp_binary64_3880` `add-log-exp_binary64_3868` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `flip3-+_binary64_3832` `flip-+_binary64_3803`

Counts

1 → 33

Calls

1 calls:

12.0ms

(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 518 to 352 computations (32% saved)

series116.0ms (1.5%)

Error

Counts

1 → 10

Calls

1 calls:

101.0ms

(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 324 to 293 computations (9.6% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5189	695

prune58.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Error

Counts

47 → 4

Compiler

Compiled 567 to 386 computations (31.9% saved)

regimes463.0ms (5.8%)

Accuracy

Total 0.1b remaining (89.7%)

Threshold costs 0.1b (89.7%)

Compiler

Compiled 2964 to 2544 computations (14.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample3.8s (47.9%)

Algorithm

1×

intervals

Results

315.0ms	1977×	body	512	valid
258.0ms	4556×	body	128	valid
125.0ms	1087×	body	256	valid
79.0ms	380×	body	1024	valid

Compiler

Compiled 1437 to 1233 computations (14.2% saved)

Details

analyze164.0ms (2.1%)

sample42.0ms (0.5%)

simplify18.0ms (0.2%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

rewrite454.0ms (5.7%)

series262.0ms (3.3%)

simplify155.0ms (1.9%)

prune313.0ms (3.9%)

localize13.0ms (0.2%)

rewrite155.0ms (1.9%)

series112.0ms (1.4%)

simplify141.0ms (1.8%)

prune127.0ms (1.6%)

localize11.0ms (0.1%)

rewrite517.0ms (6.5%)

series184.0ms (2.3%)

simplify196.0ms (2.5%)

prune462.0ms (5.8%)

localize9.0ms (0.1%)

rewrite65.0ms (0.8%)

series116.0ms (1.5%)

simplify101.0ms (1.3%)

prune58.0ms (0.7%)

regimes463.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.8s (47.9%)

Profiling