Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

370×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	33	4
2	45	4
3	63	4
4	69	4
5	69	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: 6.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z t))
5.6b	(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 42

Calls

2 calls:

3.0ms	(- (* x y) (* z t))
6.0ms	(/ (- (* x y) (* z t)) a)

series90.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x y) (* z t))
48.0ms	(/ (- (* x y) (* z t)) a)

simplify79.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	313
1	717	288
2	2700	288
3	5001	288

prune118.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 5.7b

Counts

49 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* z t))
0.2b	(/ 1 (/ a (- (* x y) (* z t))))
5.6b	(/ a (- (* x y) (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

3 → 125

Calls

3 calls:

5.0ms	(- (* x y) (* z t))
8.0ms	(/ 1 (/ a (- (* x y) (* z t))))
5.0ms	(/ a (- (* x y) (* z t)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x y) (* z t))
86.0ms	(/ 1 (/ a (- (* x y) (* z t))))
61.0ms	(/ a (- (* x y) (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	428	1235
1	1872	1116
2	5001	1026

prune193.0ms

Filtered

134 candidates to 73 candidates (54.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	133	10	143

Merged error: 5.7b

Counts

143 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z t))
5.7b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-exp-log` `*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- (* x y) (* z t))
12.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series89.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x y) (* z t))
47.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	278	390
1	1203	340
2	5001	322

prune113.0ms

Filtered

58 candidates to 39 candidates (67.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	58	10	68

Merged error: 5.7b

Counts

68 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* x y) (* z t))
0.2b	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.9b	(/ 1 (- (* x y) (* z t)))
4.8b	(* a (/ 1 (- (* x y) (* z t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`associate-/r*` `cbrt-unprod`
3×	`flip3--` `pow-flip` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 123

Calls

4 calls:

4.0ms	(- (* x y) (* z t))
9.0ms	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
5.0ms	(/ 1 (- (* x y) (* z t)))
10.0ms	(* a (/ 1 (- (* x y) (* z t))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* x y) (* z t))
77.0ms	(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
32.0ms	(/ 1 (- (* x y) (* z t)))
36.0ms	(* a (/ 1 (- (* x y) (* z t))))

simplify46.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	396	885
1	1746	733
2	5002	692

prune162.0ms

Filtered

135 candidates to 70 candidates (51.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	135	10	145

Merged error: 5.7b

Counts

145 → 10

regimes315.0ms

Accuracy

0% (0.3b remaining)

Error of 7.6b against oracle of 7.3b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample685.0ms

Algorithm

intervals

Results

369.0ms

11107×

body

valid