Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	322×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

series55.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x (+ y z)) (* z 5.0))
25.0ms	(* x (+ y z))

simplify118.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4187	168
3	5001	168

prune70.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))
34.0ms	(+ (* x y) (* x z))

simplify97.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	182	194
1	727	170
2	3072	165
3	5001	165

prune54.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
2.7b	(cbrt (* x (+ y z)))
2.7b	(cbrt (* x (+ y z)))
2.7b	(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))))
4.0ms	(cbrt (* x (+ y z)))
4.0ms	(cbrt (* x (+ y z)))
4.0ms	(cbrt (* x (+ y z)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
108.0ms	(cbrt (* x (+ y z)))
102.0ms	(cbrt (* x (+ y z)))
102.0ms	(cbrt (* x (+ y z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (62.0ms)

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

prune202.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite39.0ms

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:

16.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
8.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
6.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
149.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
149.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
146.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	323	1273
1	1135	1175
2	5002	1048

prune227.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

regimes97.0ms

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	14	5
1	14	5

end0.0ms

sample476.0ms

Algorithm

intervals

Results

252.0ms	9818×	body	80	valid
12.0ms	107×	body	1280	valid
10.0ms	115×	body	640	valid
4.0ms	59×	body	320	valid
1.0ms	30×	body	160	valid