Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

306×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	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: 10.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
10.4b	(/ (* x (- y z)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
6.0ms	(/ (* x (- y z)) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
45.0ms	(/ (* x (- y z)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune75.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.0b	(/ x (/ y (- y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ y (- y z))
48.0ms	(/ x (/ y (- y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune228.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	146	5	151

Merged error: 0.0b

Counts

151 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.2b	(* x (/ (- y z) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- y z) y)
44.0ms	(* x (/ (- y z) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune114.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b	(* x (- 1 (/ z y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`associate-r`
7×	`*-un-lft-identity`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 29

Calls

1 calls:

9.0ms

(* x (- 1 (/ z y)))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* x (- 1 (/ z y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	141
1	608	125
2	2008	125
3	5002	125

prune37.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0b

Counts

37 → 5

regimes83.0ms

Accuracy

15.5% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.3b

bsearch69.0ms

Steps

Iters	Range		Point
11	2.695775082118271e-191	1.375169157641957e-170	1.6466713287575296e-176
8	-2.286053767533532e-210	-7.727194503473757e-215	-4.39403416583893e-211

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	6
1	23	6

end0.0ms

sample428.0ms

Algorithm

intervals

Results

239.0ms

9599×

body

valid