Details

sample25.0ms

Algorithm

intervals

Results

14.0ms	304×	body	80	valid
0.0ms	2×	body	320	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 10.0 (+ d2 20.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

(* d1 (+ 10.0 (+ d2 20.0)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* d1 (+ 10.0 (+ d2 20.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5201	212

prune36.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.1b	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
0.2b	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
5.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
10.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
17.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
4.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
10.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
6.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

simplify33.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5009	1263

prune161.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
0.1b	(pow (sqrt (+ 10.0 (+ d2 20.0))) 3)
0.2b	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3)))
3.7b	(cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`cbrt-prod`
36×	`sqrt-prod`
33×	`associate-r`
27×	`add-sqr-sqrt`
24×	`unpow-prod-down` `cube-prod`
23×	`add-cube-cbrt`
21×	`distribute-lft-out`
18×	`sqrt-div`
13×	`pow1`
12×	`add-exp-log`
10×	`cube-div` `associate-*r/` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
8×	`cbrt-div`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3` `sqr-pow`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

12.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
8.0ms	(pow (sqrt (+ 10.0 (+ d2 20.0))) 3)
21.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3)))
8.0ms	(cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
10.0ms	(pow (sqrt (+ 10.0 (+ d2 20.0))) 3)
6.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3)))
4.0ms	(cbrt (pow (sqrt (+ 10.0 (+ d2 20.0))) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5233	1899

prune233.0ms

Filtered

84 candidates to 157 candidates (-86.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Merged error: 0b

Counts

160 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ 10.0 (+ d2 20.0)))
0.3b	(pow (* d1 (+ 10.0 (+ d2 20.0))) 3)
33.8b	(cbrt (pow (* d1 (+ 10.0 (+ d2 20.0))) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

9.0ms	(* d1 (+ 10.0 (+ d2 20.0)))
8.0ms	(pow (* d1 (+ 10.0 (+ d2 20.0))) 3)
3.0ms	(cbrt (pow (* d1 (+ 10.0 (+ d2 20.0))) 3))

series21.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* d1 (+ 10.0 (+ d2 20.0)))
8.0ms	(pow (* d1 (+ 10.0 (+ d2 20.0))) 3)
8.0ms	(cbrt (pow (* d1 (+ 10.0 (+ d2 20.0))) 3))

simplify19.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	5573	764

prune101.0ms

Filtered

51 candidates to 76 candidates (-49.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample584.0ms

Algorithm

intervals

Results

305.0ms	9050×	body	80	valid
9.0ms	49×	body	640	valid
8.0ms	55×	body	1280	valid
2.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

Details

sample25.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite9.0ms

series6.0ms

simplify35.0ms

prune36.0ms

localize8.0ms

rewrite41.0ms

series23.0ms

simplify33.0ms

prune161.0ms

localize11.0ms

rewrite56.0ms

series29.0ms

simplify46.0ms

prune233.0ms

localize8.0ms

rewrite21.0ms

series21.0ms

simplify19.0ms

prune101.0ms

regimes74.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample584.0ms

Profiling