Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

262×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

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: 16.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
15.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
11.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
72.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune118.0ms

Filtered

76 candidates to 41 candidates (53.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
26.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- t1) (+ t1 u))
24.0ms	(/ v (+ t1 u))
122.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify70.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	593	1285
1	2700	1201
2	5002	1197

prune369.0ms

Filtered

201 candidates to 134 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	200	6	206

Merged error: 0b

Counts

206 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.2b	(* v (/ 1 (+ t1 u)))
1.0b	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
106×	`times-frac`
78×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
49×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
19×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
5×	`associate-*r/`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `distribute-frac-neg` `clear-num` `*-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `pow-flip` `div-sub` `associate-*l/` `inv-pow`

Counts

4 → 227

Calls

4 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ 1 (+ t1 u))
10.0ms	(* v (/ 1 (+ t1 u)))
19.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- t1) (+ t1 u))
35.0ms	(/ 1 (+ t1 u))
24.0ms	(* v (/ 1 (+ t1 u)))
120.0ms	(* (/ (- t1) (+ t1 u)) (* v (/ 1 (+ t1 u))))

simplify73.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	654	1412
1	3089	1245
2	5001	1204

prune382.0ms

Filtered

239 candidates to 138 candidates (57.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	239	6	245

Merged error: 0b

Counts

245 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.9b	(/ (* (/ v (+ t1 u)) (- t1)) (+ t1 u))
8.3b	(* (/ v (+ t1 u)) (- t1))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(/ (* (/ v (+ t1 u)) (- t1)) (+ t1 u))
11.0ms	(* (/ v (+ t1 u)) (- t1))

series117.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
52.0ms	(/ (* (/ v (+ t1 u)) (- t1)) (+ t1 u))
36.0ms	(* (/ v (+ t1 u)) (- t1))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	412	648
1	2023	568
2	5002	568

prune209.0ms

Filtered

116 candidates to 80 candidates (69.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

regimes71.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample396.0ms

Algorithm

intervals

Results

222.0ms

8270×

body

valid