Details

analyze99.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

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

0.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite95.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_3829`
26×	`add-sqr-sqrt_binary64_3851`
21×	`distribute-lft-out_binary64_3780`
18×	`times-frac_binary64_3835`
15×	`add-cube-cbrt_binary64_3864`
14×	`sqrt-prod_binary64_3845`
6×	`associate-/r*_binary64_3773`
5×	`add-exp-log_binary64_3867` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
4×	`pow1_binary64_3890`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/l*_binary64_3774`
2×	`associate-/r/_binary64_3775` `sqrt-div_binary64_3846`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `sum-log_binary64_3920` `+-commutative_binary64_3759` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series82.0ms (2.8%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

36.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
18.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
16.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify64.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4923	1202
1	4923	1202

prune76.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Error

Counts

90 → 4

Compiler

Compiled 1155 to 867 computations (24.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite76.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1451 to 670 computations (53.8% saved)

series326.0ms (11.2%)

Error

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
80.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
70.0ms	(cbrt.f64 x)

Compiler

Compiled 627 to 477 computations (23.9% saved)

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune73.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 1508 to 826 computations (45.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite231.0ms (8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`*-un-lft-identity_binary64_3829`
92×	`add-sqr-sqrt_binary64_3851`
79×	`sqrt-prod_binary64_3845`
76×	`times-frac_binary64_3835`
57×	`distribute-lft-out_binary64_3780`
47×	`add-cube-cbrt_binary64_3864`
42×	`associate-r_binary64_3769`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
7×	`pow1_binary64_3890`
6×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `associate-l_binary64_3770` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
4×	`flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
2×	`div-exp_binary64_3880` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `cbrt-undiv_binary64_3863` `div-inv_binary64_3826` `sqrt-div_binary64_3846`
1×	`pow-prod-down_binary64_3900` `associate-r/_binary64_3771` `-commutative_binary64_3760` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `sum-log_binary64_3920` `+-commutative_binary64_3759` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842`

Counts

4 → 160

Calls

4 calls:

21.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
12.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3521 to 2199 computations (37.5% saved)

series119.0ms (4.1%)

Error

Counts

4 → 17

Calls

4 calls:

42.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
39.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
15.0ms	(sqrt.f64 (+.f64 x 1))
14.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 608 to 450 computations (26% saved)

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4868	2930
1	4868	2930

prune158.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	177	4	181

Error

Counts

181 → 4

Compiler

Compiled 3129 to 1957 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
4.2b	(-.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite49.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_3829`
14×	`add-sqr-sqrt_binary64_3851`
12×	`sqrt-prod_binary64_3845`
7×	`cancel-sign-sub-inv_binary64_3795`
5×	`add-cube-cbrt_binary64_3864`
4×	`add-log-exp_binary64_3868` `difference-of-squares_binary64_3798`
3×	`pow1_binary64_3890` `distribute-lft-out_binary64_3780` `distribute-lft-out--_binary64_3781`
2×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `sqrt-div_binary64_3846`
1×	`diff-log_binary64_3921` `flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `flip3-+_binary64_3832` `flip-+_binary64_3803` `rem-sqrt-square_binary64_3842`

Counts

2 → 41

Calls

2 calls:

7.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 619 to 545 computations (12% saved)

series45.0ms (1.6%)

Error

Counts

2 → 12

Calls

2 calls:

21.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
16.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 312 to 278 computations (10.9% saved)

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5032	576

prune38.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	53	4	57

Error

Counts

57 → 4

Compiler

Compiled 613 to 533 computations (13.1% saved)

regimes105.0ms (3.6%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 874 to 723 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample993.0ms (34.2%)

Algorithm

1×

intervals

Results

399.0ms	7994×	body	128	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 382 to 316 computations (17.3% saved)

Details

analyze99.0ms (3.4%)

sample14.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite95.0ms (3.3%)

series82.0ms (2.8%)

simplify64.0ms (2.2%)

prune76.0ms (2.6%)

localize9.0ms (0.3%)

rewrite76.0ms (2.6%)

series326.0ms (11.2%)

simplify74.0ms (2.6%)

prune73.0ms (2.5%)

localize7.0ms (0.2%)

rewrite231.0ms (8%)

series119.0ms (4.1%)

simplify81.0ms (2.8%)

prune158.0ms (5.4%)

localize5.0ms (0.2%)

rewrite49.0ms (1.7%)

series45.0ms (1.6%)

simplify67.0ms (2.3%)

prune38.0ms (1.3%)

regimes105.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample993.0ms (34.2%)

Profiling