Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify37.0ms

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite11.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

10.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune65.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x y) z) t)
0.2b	(/ (/ (- (+ x y) z) t) 2.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity` `times-frac`
108×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
32×	`distribute-lft-out--`
28×	`associate-/l*`
16×	`distribute-lft-out` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 153

Calls

2 calls:

8.0ms	(/ (- (+ x y) z) t)
11.0ms	(/ (/ (- (+ x y) z) t) 2.0)

series67.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- (+ x y) z) t)
38.0ms	(/ (/ (- (+ x y) z) t) 2.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	517	1322
1	1816	1275
2	5001	1275

prune293.0ms

Filtered

159 candidates to 108 candidates (67.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	160	2	162

Merged error: 0b

Counts

162 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ 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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

9.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune62.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y t) (/ x t))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.2b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

664×	`*-un-lft-identity`
491×	`times-frac`
320×	`add-sqr-sqrt`
312×	`prod-diff`
308×	`add-cube-cbrt`
172×	`distribute-lft-out`
107×	`distribute-rgt-in` `distribute-lft-in` `div-inv`
41×	`distribute-rgt-out`
13×	`fma-def`
10×	`associate-r` `distribute-lft-out--` `add-log-exp`
8×	`fma-neg`
6×	`frac-sub`
5×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `flip3-+` `associate-l` `frac-add` `associate--l+` `flip-+` `log1p-expm1-u`
2×	`flip3--` `diff-log` `sum-log` `flip--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 416

Calls

3 calls:

14.0ms	(+ (/ y t) (/ x t))
22.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
29.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

series74.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (/ y t) (/ x t))
20.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
39.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

simplify139.0ms

Algorithm

egg-herbie

Counts

425 → 425

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	941	9391
1	3767	7017
2	5001	6293

prune348.0ms

Filtered

425 candidates to 114 candidates (26.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	425	2	427

Merged error: 0b

Counts

427 → 2

regimes111.0ms

Accuracy

0% (0.0b 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	11	4
1	11	4

end0.0ms

sample555.0ms

Algorithm

intervals

Results

285.0ms

10913×

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