Details

sample45.0ms

Algorithm

intervals

Results

24.0ms

404×

body

valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

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: 18.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.3b	(* (* (* z 4.0) t) a)
15.3b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* (* x 9.0) y)
4.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms	(* (* (* z 4.0) t) a)
10.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series314.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 9.0) y)
75.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
27.0ms	(* (* (* z 4.0) t) a)
193.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune235.0ms

Filtered

89 candidates to 57 candidates (64.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Merged error: 5.7b

Counts

90 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.4b	(/ b (* z c))
5.3b	(/ (* a t) c)
8.9b	(/ (* x y) (* z c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
5.0ms	(/ b (* z c))
4.0ms	(/ (* a t) c)
6.0ms	(/ (* x y) (* z c))

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
28.0ms	(/ (* x y) (* z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune253.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	104	12	116

Merged error: 0.0b

Counts

116 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (* z c) y)
4.4b	(/ b (* z c))
5.3b	(/ (* a t) c)
5.9b	(/ x (/ (* z c) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

4.0ms	(/ (* z c) y)
4.0ms	(/ b (* z c))
4.0ms	(/ (* a t) c)
6.0ms	(/ x (/ (* z c) y))

series89.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z c) y)
19.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
33.0ms	(/ x (/ (* z c) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	457	568
1	2237	494
2	5001	494

prune349.0ms

Filtered

123 candidates to 90 candidates (73.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	122	13	135

Merged error: 0.0b

Counts

135 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (* z c) y)
4.4b	(/ b (* z c))
5.3b	(/ (* a t) c)
5.6b	(/ (/ (* z c) y) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-/l*`
11×	`cbrt-undiv` `div-exp`
10×	`associate-/r*`
8×	`div-inv`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 111

Calls

4 calls:

4.0ms	(/ (* z c) y)
4.0ms	(/ b (* z c))
4.0ms	(/ (* a t) c)
6.0ms	(/ (/ (* z c) y) x)

series84.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z c) y)
19.0ms	(/ b (* z c))
21.0ms	(/ (* a t) c)
26.0ms	(/ (/ (* z c) y) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	563
1	2203	488
2	5001	488

prune305.0ms

Filtered

123 candidates to 89 candidates (72.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	122	14	136

Merged error: 0.0b

Counts

136 → 14

regimes947.0ms

Accuracy

49.3% (5.3b remaining)

Error of 5.7b against oracle of 0.4b and baseline of 10.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	110
1	70	110

end0.0ms

sample1.2s

Algorithm

intervals

Results

736.0ms

12792×

body

valid