Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

347×

body

valid

simplify8.0ms

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

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
5.0ms	(* x (- 1.0 (* x y)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- 1.0 (* x y))
41.0ms	(* x (- 1.0 (* x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune65.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* 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 (- (* x y))))
4.0ms	(* x (- (* x y)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x 1.0) (* x (- (* x y))))
20.0ms	(* x (- (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

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

prune74.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Merged error: 0.0b

Counts

51 → 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)))

rewrite18.0ms

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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
223.0ms	(cbrt (- 1.0 (* x y)))
225.0ms	(cbrt (- 1.0 (* x y)))
415.0ms	(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	354	1088
1	1360	1031
2	5001	970

prune235.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	9	106

Merged error: 0b

Counts

106 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.3b	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
5.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (cbrt (- 1.0 (* x y))))
231.0ms	(cbrt (cbrt (- 1.0 (* x y))))
235.0ms	(cbrt (cbrt (- 1.0 (* x y))))
401.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	343	954
1	1292	912
2	5002	890

prune261.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0b

Counts

93 → 9

regimes87.0ms

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

sample421.0ms

Algorithm

intervals

Results

246.0ms

10713×

body

valid

Details

sample16.0ms

simplify8.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series70.0ms

simplify90.0ms

prune65.0ms

localize6.0ms

rewrite9.0ms

series62.0ms

simplify44.0ms

prune74.0ms

localize8.0ms

rewrite18.0ms

series1.1s

simplify48.0ms

prune235.0ms

localize18.0ms

rewrite16.0ms

series1.1s

simplify45.0ms

prune261.0ms

regimes87.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample421.0ms

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