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

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify443.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	465	11
1	465	11

prune3.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
55×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_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

2 → 93

Calls

2 calls:

9.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
22.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
12.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5911	1246

prune70.0ms

Filtered

62 candidates to 99 candidates (-59.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	1	100

Merged error: 0b

Counts

100 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
0.0b	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
50×	`difference-of-squares_binary64`
36×	`associate-l_binary64`
29×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-r_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64` `sqrt-div_binary64`
4×	`associate-*r/_binary64` `associate-/r/_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `sqrt-prod_binary64` `*-commutative_binary64`

Counts

3 → 138

Calls

3 calls:

12.0ms	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
9.0ms	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
19.0ms	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(sqrt.f64 (.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x)))
3.0ms	(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
4.0ms	(.f64 (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))

simplify59.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5638	1935

prune102.0ms

Filtered

110 candidates to 147 candidates (-33.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	1	148

Merged error: 0b

Counts

148 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	17
1	33	17

end0.0ms

sample489.0ms

Algorithm

intervals

Results

384.0ms

8000×

body

valid

Details

analyze12.0ms

sample20.0ms

simplify443.0ms

prune3.0ms

localize9.0ms

rewrite37.0ms

series17.0ms

simplify53.0ms

prune70.0ms

localize9.0ms

rewrite46.0ms

series12.0ms

simplify59.0ms

prune102.0ms

simplify2.0ms

end0.0ms

sample489.0ms

Profiling