Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

315×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	37	3
2	67	3
3	79	3
4	79	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: 12.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

11.7b

(/ (* a1 a2) (* b1 b2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
131×	`add-sqr-sqrt`
79×	`add-cube-cbrt` `*-un-lft-identity`
78×	`associate-r` `associate-l`
26×	`*-commutative` `unswap-sqr`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 188

Calls

1 calls:

12.0ms

(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (* a1 a2) (* b1 b2))

simplify88.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	826	1311
1	4233	1276
2	5001	1276

prune355.0ms

Filtered

191 candidates to 130 candidates (68.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Merged error: 0b

Counts

192 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b

(* (/ a1 b1) (/ a2 b2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
67×	`add-sqr-sqrt`
61×	`associate-/l*`
60×	`associate-/r*`
56×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`times-frac`
21×	`clear-num`
20×	`frac-2neg`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
9×	`associate-r/` `associate-l/`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`un-div-inv` `div-inv`
1×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 150

Calls

1 calls:

14.0ms

(* (/ a1 b1) (/ a2 b2))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (/ a1 b1) (/ a2 b2))

simplify81.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	751	823
1	3595	784
2	5001	784

prune281.0ms

Filtered

153 candidates to 100 candidates (65.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	154	6	160

Merged error: 0b

Counts

160 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

4.5b	(* (- b1) (/ b2 a2))
7.9b	(/ (- a1) (* (- b1) (/ b2 a2)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

420×	`times-frac`
290×	`add-sqr-sqrt`
232×	`*-un-lft-identity`
230×	`add-cube-cbrt`
156×	`associate-r`
129×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
120×	`associate-l`
43×	`neg-mul-1`
36×	`associate-/r*`
24×	`unswap-sqr`
18×	`associate-r/` `associate-/l`
16×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
12×	`*-commutative`
11×	`associate-/r/`
5×	`cbrt-undiv` `div-exp` `clear-num`
4×	`pow1` `prod-exp` `un-div-inv` `cbrt-unprod`
3×	`frac-2neg`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `distribute-frac-neg` `pow-prod-down`

Counts

2 → 423

Calls

2 calls:

13.0ms	(* (- b1) (/ b2 a2))
21.0ms	(/ (- a1) (* (- b1) (/ b2 a2)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- b1) (/ b2 a2))
31.0ms	(/ (- a1) (* (- b1) (/ b2 a2)))

simplify66.0ms

Algorithm

egg-herbie

Counts

429 → 429

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1663	3984
1	5001	3914

prune989.0ms

Filtered

429 candidates to 328 candidates (76.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	429	0	429
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	429	6	435

Merged error: 0b

Counts

435 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

11.5b

(* (/ a1 b2) (/ a2 b1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
67×	`add-sqr-sqrt`
61×	`associate-/l*`
60×	`associate-/r*`
56×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`times-frac`
21×	`clear-num`
20×	`frac-2neg`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
9×	`associate-r/` `associate-l/`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`un-div-inv` `div-inv`
1×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 150

Calls

1 calls:

14.0ms

(* (/ a1 b2) (/ a2 b1))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (/ a1 b2) (/ a2 b1))

simplify88.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	755	823
1	3628	784
2	5001	784

prune257.0ms

Filtered

153 candidates to 98 candidates (64.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	153	6	159

Merged error: 0b

Counts

159 → 6

regimes382.0ms

Accuracy

79.1% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 11.6b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	28	27
1	31	27
2	37	18
3	40	18
4	46	18
5	57	18
6	64	18
7	65	18
8	65	18

end0.0ms

sample492.0ms

Algorithm

intervals

Results

241.0ms

9997×

body

valid