Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

344×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	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: 4.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

19.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) a)

series138.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (/ (* y (- z t)) a))
42.0ms	(* y (- z t))
48.0ms	(/ (* y (- z t)) a)

simplify55.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	460	743
1	1827	704
2	5001	704

prune187.0ms

Filtered

126 candidates to 88 candidates (69.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0b

Counts

127 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (- z t) (/ a y)))
5.9b	(/ (- z t) (/ a y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
97×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
60×	`add-cube-cbrt`
17×	`difference-of-squares`
16×	`associate-/r*`
15×	`distribute-lft-out--`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

2 → 126

Calls

2 calls:

23.0ms	(- x (/ (- z t) (/ a y)))
9.0ms	(/ (- z t) (/ a y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- x (/ (- z t) (/ a y)))
47.0ms	(/ (- z t) (/ a y))

simplify63.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	634	1028
1	2373	992
2	5003	988

prune216.0ms

Filtered

132 candidates to 93 candidates (70.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Merged error: 0b

Counts

139 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (- z t) (/ y a)))
5.9b	(* (- z t) (/ y a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

13.0ms	(- x (* (- z t) (/ y a)))
11.0ms	(* (- z t) (/ y a))

series92.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- x (* (- z t) (/ y a)))
46.0ms	(* (- z t) (/ y a))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	400	553
1	1962	530
2	5001	524

prune139.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (/ a y) (- z t))))
0.4b	(/ 1 (/ (/ a y) (- z t)))
5.9b	(/ (/ a y) (- z t))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

793×	`times-frac`
496×	`add-sqr-sqrt`
481×	`*-un-lft-identity`
339×	`add-cube-cbrt`
87×	`associate-/r*`
74×	`difference-of-squares`
69×	`distribute-lft-out--`
40×	`associate-/r/`
37×	`associate-/l*`
34×	`div-inv`
29×	`add-exp-log`
20×	`associate-/l/`
18×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`clear-num`
6×	`flip3--` `flip--`
5×	`frac-2neg` `add-log-exp`
4×	`pow1` `remove-double-div`
3×	`rec-exp` `1-exp`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

3 → 474

Calls

3 calls:

69.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
26.0ms	(/ 1 (/ (/ a y) (- z t)))
9.0ms	(/ (/ a y) (- z t))

series150.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- x (/ 1 (/ (/ a y) (- z t))))
52.0ms	(/ 1 (/ (/ a y) (- z t)))
47.0ms	(/ (/ a y) (- z t))

simplify89.0ms

Algorithm

egg-herbie

Counts

483 → 483

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1478	4720
1	5001	4257

prune681.0ms

Filtered

483 candidates to 277 candidates (57.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	482	1	483
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	483	6	489

Merged error: 0b

Counts

489 → 6

regimes227.0ms

Accuracy

83.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample637.0ms

Algorithm

intervals

Results

309.0ms

10690×

body

valid