Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune3.0ms

Filtered

1 candidates to 0 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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (- 1.0 (* x y)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (- 1.0 (* x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5001	113

prune51.0ms

Filtered

27 candidates to 16 candidates (40.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* x y))))
0.2b	(* x (neg (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (neg (* x y))))
5.0ms	(* x (neg (* x y)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* x (neg (* x y))))
6.0ms	(* x (neg (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune61.0ms

Filtered

42 candidates to 32 candidates (23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
38.0ms	(cbrt (- 1.0 (* x y)))
40.0ms	(cbrt (- 1.0 (* x y)))
38.0ms	(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	352	1118
1	1346	1067
2	5001	1012

prune256.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
7.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- 1.0 (* x y)))
38.0ms	(cbrt (- 1.0 (* x y)))
40.0ms	(cbrt (- 1.0 (* x y)))
48.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	337	915
1	1109	877
2	5001	859

prune280.0ms

Filtered

68 candidates to 61 candidates (10.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 0b

Counts

75 → 8

regimes117.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample515.0ms

Algorithm

intervals

Results

244.0ms

10670×

body

valid

Details

sample18.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series6.0ms

simplify89.0ms

prune51.0ms

localize7.0ms

rewrite9.0ms

series12.0ms

simplify42.0ms

prune61.0ms

localize8.0ms

rewrite17.0ms

series165.0ms

simplify48.0ms

prune256.0ms

localize13.0ms

rewrite17.0ms

series166.0ms

simplify39.0ms

prune280.0ms

regimes117.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample515.0ms

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