Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

292×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(- (* (+ x 1.0) y) x)
8.0ms	(* (+ x 1.0) y)

series46.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
27.0ms	(* (+ x 1.0) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune54.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.5b	(cbrt (* (+ x 1.0) y))
0.5b	(cbrt (* (+ x 1.0) y))
0.5b	(cbrt (* (+ x 1.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
4.0ms	(cbrt (* (+ x 1.0) y))
4.0ms	(cbrt (* (+ x 1.0) y))
4.0ms	(cbrt (* (+ x 1.0) y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
94.0ms	(cbrt (* (+ x 1.0) y))
92.0ms	(cbrt (* (+ x 1.0) y))
95.0ms	(cbrt (* (+ x 1.0) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	367	875
1	1215	815
2	5001	748

prune204.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.3b	(* (- (* x x) (* 1.0 1.0)) y)
10.4b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`flip3--` `times-frac` `associate-/r*` `flip--` `difference-of-squares`
4×	`associate-l` `associate-*l/`
3×	`associate-r` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
10.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
9.0ms	(* (- (* x x) (* 1.0 1.0)) y)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
40.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
43.0ms	(* (- (* x x) (* 1.0 1.0)) y)
56.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	354	642
1	1674	571
2	5001	562

prune135.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0)) x)
1.0b	(* (- (* x x) (* 1.0 1.0)) (sqrt y))
1.1b	(* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y))
5.7b	(/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-cube-cbrt`
10×	`associate-*l/`
7×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`add-log-exp`
5×	`flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
4×	`pow-prod-down` `difference-of-squares`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 93

Calls

4 calls:

13.0ms	(- (/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0)) x)
7.0ms	(* (- (* x x) (* 1.0 1.0)) (sqrt y))
13.0ms	(* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y))
12.0ms	(/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0))

series211.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0)) x)
56.0ms	(* (- (* x x) (* 1.0 1.0)) (sqrt y))
40.0ms	(* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y))
63.0ms	(/ (* (* (- (* x x) (* 1.0 1.0)) (sqrt y)) (sqrt y)) (- x 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	491	1007
1	2505	844
2	5001	822

prune179.0ms

Filtered

105 candidates to 75 candidates (71.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Merged error: 0b

Counts

109 → 4

regimes51.0ms

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	8	3
1	8	3

end0.0ms

sample350.0ms

Algorithm

intervals

Results

207.0ms	9125×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample13.0ms

simplify88.0ms

prune2.0ms

localize5.0ms

rewrite15.0ms

series46.0ms

simplify66.0ms

prune54.0ms

localize8.0ms

rewrite21.0ms

series399.0ms

simplify42.0ms

prune204.0ms

localize8.0ms

rewrite34.0ms

series182.0ms

simplify48.0ms

prune135.0ms

localize10.0ms

rewrite48.0ms

series211.0ms

simplify69.0ms

prune179.0ms

regimes51.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample350.0ms

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