Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) y)
36.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify99.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune68.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
14.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
103.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify138.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4438	753
3	5001	749

prune264.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

localize143.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (- 1.0 x) 2/3) (* (cbrt (- 1.0 x)) y))
0.1b	(* (cbrt (- 1.0 x)) y)
0.2b	(cbrt (- 1.0 x))
1.0b	(pow (- 1.0 x) 2/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`add-exp-log` `*-un-lft-identity`
17×	`associate-l`
12×	`add-cube-cbrt`
11×	`cbrt-prod`
10×	`unpow-prod-down` `prod-exp`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-div`
4×	`associate-r` `associate-*l/` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-to-exp` `pow-unpow` `flip3--` `pow-exp` `flip--`
2×	`associate-r/` `-commutative` `unswap-sqr` `sqr-pow`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 88

Calls

4 calls:

11.0ms	(* (pow (- 1.0 x) 2/3) (* (cbrt (- 1.0 x)) y))
7.0ms	(* (cbrt (- 1.0 x)) y)
3.0ms	(cbrt (- 1.0 x))
5.0ms	(pow (- 1.0 x) 2/3)

series402.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (pow (- 1.0 x) 2/3) (* (cbrt (- 1.0 x)) y))
199.0ms	(* (cbrt (- 1.0 x)) y)
86.0ms	(cbrt (- 1.0 x))
90.0ms	(pow (- 1.0 x) 2/3)

simplify55.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	554	656
1	1951	589
2	5001	562

prune244.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0.0b

Counts

103 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x z) (* x z))
1.8b	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
2.7b	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
41.3b	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 101

Calls

4 calls:

7.0ms	(* (* x z) (* x z))
16.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
9.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
25.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x z) (* x z))
103.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
206.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
302.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

simplify100.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	505	1649
1	2448	1513
2	5001	1510

prune266.0ms

Filtered

113 candidates to 69 candidates (61.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

regimes66.0ms

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	11	4
1	11	4

end0.0ms

sample477.0ms

Algorithm

intervals

Results

250.0ms

10101×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4