Details

sample579.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.912842%

Guaranteed chance to sample good point: 84.977595%

Results

7.0ms	240×	body	80	valid
1.0ms	7×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	9×	body	80	invalid
0.0ms	4×	body	160	valid
0.0ms	2×	body	640	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune9.0ms

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 (+ (+ 3.0 d2) d3))

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 (+ (+ 3.0 d2) d3))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify91.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune43.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

25.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
8.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))

series65.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	481	1565
1	1672	1406
2	5001	1343

prune184.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
9.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
7.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
7.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
44.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
46.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))
44.0ms	(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	399	1042
1	1334	970
2	5001	906

prune215.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
1.5b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
9.0b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
18.1b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

9.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
9.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
13.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
18.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series61.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
7.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
31.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify89.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune135.0ms

Filtered

77 candidates to 127 candidates (-64.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.912842%

Guaranteed chance to sample good point: 84.977595%

Results

244.0ms	7468×	body	80	valid
28.0ms	204×	body	640	valid
16.0ms	156×	body	320	valid
12.0ms	392×	body	80	invalid
12.0ms	84×	body	1280	valid
5.0ms	88×	body	160	valid

Details

sample579.0ms

simplify9.0ms

prune9.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify91.0ms

prune43.0ms

localize9.0ms

rewrite49.0ms

series65.0ms

simplify60.0ms

prune184.0ms

localize9.0ms

rewrite32.0ms

series201.0ms

simplify48.0ms

prune215.0ms

localize10.0ms

rewrite51.0ms

series61.0ms

simplify89.0ms

prune135.0ms

regimes159.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling