Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

331×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 20

Calls

1 calls:

12.0ms

(- (* x y) (* z t))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (* x y) (* z t))

simplify66.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	111	138
1	277	131
2	750	131
3	1758	131
4	5001	131

prune36.0ms

Filtered

23 candidates to 17 candidates (26.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.3b	(* (* z t) (* z t))
1.6b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.4b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

3264×	`add-sqr-sqrt`
1772×	`*-un-lft-identity`
1644×	`unswap-sqr`
942×	`associate-l`
763×	`times-frac`
729×	`difference-of-squares`
640×	`swap-sqr`
440×	`distribute-lft-out`
225×	`distribute-lft-out--`
172×	`*-commutative`
146×	`add-cube-cbrt`
109×	`associate-/l*`
82×	`pow1`
48×	`associate-r`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`pow-plus`
2×	`pow2` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 1160

Calls

4 calls:

12.0ms	(* (* x y) (* x y))
12.0ms	(* (* z t) (* z t))
97.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
133.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x y) (* x y))
32.0ms	(* (* z t) (* z t))
112.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
89.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

simplify207.0ms

Algorithm

egg-herbie

Counts

1172 → 1172

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1329	16157
1	5002	16063

prune451.0ms

Filtered

1172 candidates to 183 candidates (84.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1170	2	1172
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	1172	3	1175

Merged error: 0b

Counts

1175 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
1.6b	(- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t)))
25.4b	(/ (- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

23742×	`add-sqr-sqrt`
16348×	`unswap-sqr`
3864×	`*-un-lft-identity`
3664×	`cbrt-prod`
3483×	`difference-of-squares`
2814×	`times-frac`
1888×	`associate-l`
1612×	`distribute-lft-out`
1428×	`swap-sqr`
712×	`*-commutative`
424×	`add-cube-cbrt`
402×	`associate-/l*`
108×	`distribute-lft-out--`
11×	`pow1`
10×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`pow1/3` `associate-/r*`
6×	`associate-r` `add-log-exp`
4×	`cbrt-unprod`
2×	`flip3--` `pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-sub` `div-exp` `prod-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 3705

Calls

4 calls:

1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))
254.0ms	(- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t)))
374.0ms	(/ (- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
202.0ms	(* (cbrt y) (cbrt y))
148.0ms	(- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t)))
120.0ms	(/ (- (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

simplify1.1s

Algorithm

egg-herbie

Counts

3717 → 3717

Iterations

Useful iterations: 1 (78.0ms)

Iter	Nodes	Cost
0	3679	128852
1	5001	118731

prune2.2s

Filtered

3717 candidates to 536 candidates (85.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	3716	1	3717
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	3717	3	3720

Merged error: 0b

Counts

3720 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))
23.0b	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))
23.0b	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

1046×	`add-sqr-sqrt`
764×	`unswap-sqr`
282×	`sqrt-prod`
254×	`cbrt-prod`
218×	`associate-l`
172×	`associate-r`
88×	`rem-sqrt-square`
66×	`pow1`
58×	`*-un-lft-identity`
56×	`swap-sqr`
44×	`pow-prod-down`
42×	`add-cube-cbrt`
32×	`*-commutative`
18×	`sqrt-pow1`
8×	`distribute-lft-out`
4×	`add-exp-log` `pow1/2` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+`

Counts

4 → 424

Calls

4 calls:

12.0ms	(sqrt (+ (* x y) (* z t)))
12.0ms	(sqrt (+ (* x y) (* z t)))
59.0ms	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))
57.0ms	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (* x y) (* z t)))
79.0ms	(sqrt (+ (* x y) (* z t)))
50.0ms	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))
46.0ms	(sqrt (* (* (* x y) (* x (* (cbrt y) (cbrt y)))) (cbrt y)))

simplify152.0ms

Algorithm

egg-herbie

Counts

436 → 436

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	967	5328
1	4268	5212
2	5001	5066

prune1.2s

Filtered

436 candidates to 252 candidates (42.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	436	0	436
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	436	3	439

Merged error: 0b

Counts

439 → 3

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample495.0ms

Algorithm

intervals

Results

238.0ms

10416×

body

valid