Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample50.0ms

Algorithm

intervals

Results

13.0ms	166×	body	80	invalid
13.0ms	256×	body	80	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune5.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
0.2b	(/.f64 (*.f64 z t) 16.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 67

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0))
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
5.0ms	(/.f64 (*.f64 z t) 16.0)

series106.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
14.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0))
31.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
5.0ms	(/.f64 (*.f64 z t) 16.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4995	1191
1	4995	1191

prune91.0ms

Filtered

61 candidates to 79 candidates (-29.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0b

Counts

80 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)

0.0b

(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))

0.0b

(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
6×	`sum-log_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`diff-log_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

3 → 46

Calls

3 calls:

12.0ms

(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)

4.0ms

(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))

9.0ms

(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms

(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)

21.0ms

(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))

30.0ms

(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5130	1042

prune59.0ms

Filtered

43 candidates to 55 candidates (-27.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
0.2b	(/.f64 (*.f64 z t) 16.0)
0.2b	(/.f64 (*.f64 z t) 16.0)
0.3b	(.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`sqrt-div_binary64`
40×	`add-sqr-sqrt_binary64`
35×	`sqrt-prod_binary64`
33×	`*-un-lft-identity_binary64`
22×	`frac-sub_binary64`
20×	`pow1_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
12×	`swap-sqr_binary64`
11×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64`
5×	`pow-prod-up_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `pow-sqr_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

10.0ms	(sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
5.0ms	(/.f64 (*.f64 z t) 16.0)
5.0ms	(/.f64 (*.f64 z t) 16.0)
26.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
4.0ms	(/.f64 (*.f64 z t) 16.0)
5.0ms	(/.f64 (*.f64 z t) 16.0)
35.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16.0) (.f64 x y)) (/.f64 (*.f64 a b) 4.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5404	3886

prune146.0ms

Filtered

92 candidates to 154 candidates (-67.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	2	156

Merged error: 0b

Counts

156 → 2

regimes842.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

436.0ms	8000×	body	80	valid
234.0ms	3902×	body	80	invalid

Details

analyze1.5s

sample50.0ms

simplify65.0ms

prune5.0ms

localize12.0ms

rewrite40.0ms

series106.0ms

simplify41.0ms

prune91.0ms

localize12.0ms

rewrite26.0ms

series121.0ms

simplify38.0ms

prune59.0ms

localize16.0ms

rewrite51.0ms

series235.0ms

simplify46.0ms

prune146.0ms

regimes842.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling