Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	316×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
28.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune87.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(* z (+ x 5.0))
4.0ms	(+ (* x y) (* z (+ x 5.0)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* z (+ x 5.0))
27.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify129.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4786	168
3	5001	168

prune87.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0b

Counts

49 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.3b	(cbrt (* x (+ y z)))
3.3b	(cbrt (* x (+ y z)))
3.3b	(cbrt (* x (+ y z)))

rewrite22.0ms

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:

6.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
5.0ms	(cbrt (* x (+ y z)))
4.0ms	(cbrt (* x (+ y z)))
5.0ms	(cbrt (* x (+ y z)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
100.0ms	(cbrt (* x (+ y z)))
101.0ms	(cbrt (* x (+ y z)))
105.0ms	(cbrt (* x (+ y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	254	585
1	799	531
2	2788	474
3	5001	464

prune243.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series708.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt z) (cbrt z))
176.0ms	(cbrt z)
170.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune217.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes75.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample483.0ms

Algorithm

intervals

Results

237.0ms	9874×	body	80	valid
13.0ms	120×	body	1280	valid
10.0ms	116×	body	640	valid
5.0ms	76×	body	320	valid
1.0ms	26×	body	160	valid