Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify475.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	786	11
1	786	11

prune4.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
0.0b	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
0.0b	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
26×	`sqrt-prod_binary64`
24×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
8.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
21.0ms	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
15.0ms	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5097	1256

prune96.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0.0b

Counts

101 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
0.0b	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3))
0.0b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity_binary64`
130×	`sqrt-prod_binary64`
124×	`add-sqr-sqrt_binary64`
121×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64`
64×	`cbrt-prod_binary64`
58×	`unpow-prod-down_binary64` `cube-prod_binary64`
31×	`distribute-lft-out_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r/_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
5×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `sqrt-div_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqr-pow_binary64` `cube-div_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `sqrt-pow2_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 237

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
8.0ms	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
13.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3))
12.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3)

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
5.0ms	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3))
10.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5148	3732

prune184.0ms

Filtered

120 candidates to 249 candidates (-107.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	249	2	251

Merged error: 0b

Counts

251 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)))
0.0b	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2))
0.0b	(pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity_binary64`
63×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`unpow-prod-down_binary64`
37×	`add-cube-cbrt_binary64`
30×	`cbrt-prod_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
5×	`pow1_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `sqr-pow_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 132

Calls

4 calls:

1.0ms	(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)))
9.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2))
11.0ms	(pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)

series26.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)))
3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2))
11.0ms	(pow.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)) 3/2)

simplify82.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4923	2135
1	4923	2135

prune153.0ms

Filtered

97 candidates to 144 candidates (-48.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Merged error: 0b

Counts

146 → 2

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample484.0ms

Algorithm

intervals

Results

382.0ms

8000×

body

valid

Details

analyze12.0ms

sample21.0ms

simplify475.0ms

prune4.0ms

localize10.0ms

rewrite35.0ms

series22.0ms

simplify40.0ms

prune96.0ms

localize10.0ms

rewrite57.0ms

series24.0ms

simplify68.0ms

prune184.0ms

localize10.0ms

rewrite36.0ms

series26.0ms

simplify82.0ms

prune153.0ms

regimes106.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample484.0ms

Profiling