Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

347×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	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 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169

prune57.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ y t) (/ x t))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-cube-cbrt`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `associate--l+` `flip--`

Counts

2 → 41

Calls

2 calls:

12.0ms	(+ (/ y t) (/ x t))
20.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

series39.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (/ y t) (/ x t))
23.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	220	339
1	671	323
2	2370	316
3	5002	316

prune92.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ 1 t) (+ y x)) (/ z t))
0.3b	(* (/ 1 t) (+ y x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`frac-sub`
4×	`pow1` `frac-times` `flip3-+` `associate-r/` `associate-r*` `prod-exp` `flip-+` `add-log-exp`
3×	`associate-*l/` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `div-exp` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv` `distribute-lft-out` `sub-div`

Counts

2 → 62

Calls

2 calls:

10.0ms	(- (* (/ 1 t) (+ y x)) (/ z t))
15.0ms	(* (/ 1 t) (+ y x))

series47.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (* (/ 1 t) (+ y x)) (/ z t))
23.0ms	(* (/ 1 t) (+ y x))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	436	405
1	1904	353
2	5002	332

prune117.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
0.6b	(cbrt (- (+ x y) z))
0.6b	(cbrt (- (+ x y) z))
0.6b	(cbrt (- (+ x y) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
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 → 111

Calls

4 calls:

16.0ms	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
9.0ms	(cbrt (- (+ x y) z))
5.0ms	(cbrt (- (+ x y) z))
6.0ms	(cbrt (- (+ x y) z))

series726.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
144.0ms	(cbrt (- (+ x y) z))
146.0ms	(cbrt (- (+ x y) z))
141.0ms	(cbrt (- (+ x y) z))

simplify159.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	260	1037
1	976	983
2	4893	881
3	5001	881

prune243.0ms

Filtered

123 candidates to 81 candidates (65.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample624.0ms

Algorithm

intervals

Results

340.0ms

10827×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4