Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

265×

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: 18.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.7b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 488

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
24.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
79.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify86.0ms

Algorithm

egg-herbie

Counts

494 → 494

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1496	4762
1	5001	4590

prune438.0ms

Filtered

494 candidates to 207 candidates (41.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	487	7	494
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	487	8	495

Merged error: 0.0b

Counts

495 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ t1 u))
0.0b	(/ v (+ t1 u))
2.2b	(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
110×	`distribute-neg-frac`
100×	`frac-times`
96×	`associate-/r*`
95×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
73×	`associate-/l*`
61×	`times-frac`
40×	`associate-l`
39×	`distribute-lft-out`
25×	`clear-num`
24×	`frac-2neg`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r/` `associate-l/` `associate-/r/`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
3×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`prod-exp` `un-div-inv` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `*-commutative`

Counts

3 → 262

Calls

3 calls:

5.0ms	(/ t1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
30.0ms	(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ t1 (+ t1 u))
26.0ms	(/ v (+ t1 u))
132.0ms	(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))

simplify48.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1029	1868
1	5001	1764

prune310.0ms

Filtered

271 candidates to 158 candidates (58.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	4	2	6
Picked	1	0	1
Done	1	0	1
Total	273	6	279

Merged error: 0b

Counts

279 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ t1 u))
0.5b	(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
1.9b	(* (/ t1 (+ t1 u)) v)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

530×	`times-frac`
454×	`*-un-lft-identity`
312×	`add-sqr-sqrt`
252×	`associate-l`
242×	`add-cube-cbrt`
116×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
106×	`distribute-lft-out`
42×	`associate-r`
37×	`associate-/l*`
32×	`associate-/r/`
29×	`neg-mul-1`
28×	`unswap-sqr`
24×	`associate-/r*`
20×	`associate-*l/`
19×	`add-exp-log` `add-cbrt-cube`
16×	`flip3-+` `flip-+` `div-inv`
14×	`*-commutative`
10×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
3×	`add-log-exp`
2×	`distribute-neg-frac`
1×	`pow-prod-down`

Counts

3 → 483

Calls

3 calls:

5.0ms	(/ t1 (+ t1 u))
24.0ms	(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
10.0ms	(* (/ t1 (+ t1 u)) v)

series251.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ t1 (+ t1 u))
125.0ms	(/ (* (/ t1 (+ t1 u)) v) (- (+ t1 u)))
80.0ms	(* (/ t1 (+ t1 u)) v)

simplify87.0ms

Algorithm

egg-herbie

Counts

492 → 492

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1359	5279
1	5002	5069

prune585.0ms

Filtered

492 candidates to 284 candidates (57.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	492	6	498

Merged error: 0b

Counts

498 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))) (/ (* (cbrt (/ t1 (+ t1 u))) v) (- (+ t1 u))))
7.1b	(cbrt (/ t1 (+ t1 u)))
7.1b	(cbrt (/ t1 (+ t1 u)))
7.1b	(cbrt (/ t1 (+ t1 u)))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

14000×	`cbrt-div`
12640×	`frac-times`
9064×	`*-un-lft-identity`
8074×	`associate-/l*`
7052×	`associate-/r*`
6107×	`add-sqr-sqrt`
4792×	`add-cube-cbrt`
2920×	`cbrt-prod`
2898×	`associate-l`
2330×	`times-frac`
2132×	`distribute-lft-out`
1910×	`associate-*l/`
1522×	`clear-num`
1521×	`frac-2neg`
1210×	`associate-/l/`
810×	`associate-r`
637×	`associate-*r/`
612×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
573×	`unswap-sqr`
282×	`associate-/r/`
153×	`neg-mul-1`
141×	`flip3-+` `flip-+` `div-inv`
140×	`*-commutative`
64×	`add-cbrt-cube`
46×	`cbrt-unprod`
42×	`swap-sqr`
25×	`add-exp-log`
15×	`cbrt-undiv`
11×	`prod-exp`
9×	`pow1`
4×	`div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `un-div-inv`
2×	`distribute-neg-frac`

Counts

4 → 7712

Calls

4 calls:

571.0ms	(* (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))) (/ (* (cbrt (/ t1 (+ t1 u))) v) (- (+ t1 u))))
5.0ms	(cbrt (/ t1 (+ t1 u)))
5.0ms	(cbrt (/ t1 (+ t1 u)))
6.0ms	(cbrt (/ t1 (+ t1 u)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))) (/ (* (cbrt (/ t1 (+ t1 u))) v) (- (+ t1 u))))
130.0ms	(cbrt (/ t1 (+ t1 u)))
133.0ms	(cbrt (/ t1 (+ t1 u)))
145.0ms	(cbrt (/ t1 (+ t1 u)))

simplify1.7s

Algorithm

egg-herbie

Counts

7724 → 7724

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	7131	187316

prune18.2s

Filtered

7724 candidates to 4303 candidates (55.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	7724	0	7724
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	7724	6	7730

Merged error: 0b

Counts

7730 → 6

regimes70.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	14	6
2	14	6

end0.0ms

sample399.0ms

Algorithm

intervals

Results

224.0ms

8228×

body

valid