Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	305×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify12.0ms

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify88.0ms

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

prune46.0ms

Filtered

27 candidates to 16 candidates (59.3%)

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: 0.0b

Counts

29 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

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

series322.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (+ (+ 3.0 d2) d3))
96.0ms	(cbrt (+ (+ 3.0 d2) d3))
99.0ms	(cbrt (+ (+ 3.0 d2) d3))
30.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	483	1526
1	1673	1364
2	5002	1313

prune215.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.3b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite38.0ms

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:

5.0ms	(sqrt (+ (+ 3.0 d2) d3))
5.0ms	(sqrt (+ (+ 3.0 d2) d3))
9.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
15.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ (+ 3.0 d2) d3))
39.0ms	(sqrt (+ (+ 3.0 d2) d3))
66.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
32.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	347	749
1	1459	655
2	5001	635

prune166.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

15.6b	(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))
19.8b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
19.8b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
19.8b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
31×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
19×	`*-un-lft-identity`
18×	`add-exp-log`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cbrt-cube`
12×	`cbrt-prod`
9×	`add-cube-cbrt`
6×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
5×	`difference-of-squares`
4×	`pow1` `cbrt-undiv` `div-exp` `distribute-lft-out--` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/` `distribute-lft-out`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

43.0ms	(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))
8.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
8.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
9.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))
114.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
109.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
112.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify72.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	488	2327
1	2178	1917
2	5001	1829

prune351.0ms

Filtered

113 candidates to 97 candidates (85.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes63.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample537.0ms

Algorithm

intervals

Results

287.0ms	9505×	body	80	valid
19.0ms	184×	body	640	valid
12.0ms	151×	body	320	valid
11.0ms	88×	body	1280	valid
4.0ms	73×	body	160	valid

Details

sample22.0ms

simplify12.0ms

prune5.0ms

localize5.0ms

rewrite9.0ms

series29.0ms

simplify88.0ms

prune46.0ms

localize9.0ms

rewrite47.0ms

series322.0ms

simplify59.0ms

prune215.0ms

localize7.0ms

rewrite38.0ms

series174.0ms

simplify47.0ms

prune166.0ms

localize14.0ms

rewrite74.0ms

series434.0ms

simplify72.0ms

prune351.0ms

regimes63.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample537.0ms

Profiling