Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

317×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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))

rewrite16.0ms

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×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

9.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify103.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	196	192
1	847	175
2	4460	175
3	5001	174

prune70.0ms

Filtered

44 candidates to 33 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
0.1b	(* (- 1.0 x) (sqrt y))
0.2b	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
7.0ms	(* (- 1.0 x) (sqrt y))
9.0ms	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

series120.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
43.0ms	(* (- 1.0 x) (sqrt y))
29.0ms	(* (* (- 1.0 x) (sqrt y)) (sqrt y))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	337	466
1	1395	396
2	5001	370

prune133.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	77	2	79

Merged error: 0.0b

Counts

79 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

7.0ms

(* y (- 1.0 x))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* y (- 1.0 x))

simplify100.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	190	356
1	748	220
2	3365	190
3	5001	166

prune49.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	2	51

Merged error: 0b

Counts

51 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

4.0ms

(+ (* y 1.0) (* y (- x)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ (* y 1.0) (* y (- x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	114	99
1	478	79
2	2205	76
3	5001	75

prune33.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample491.0ms

Algorithm

intervals

Results

285.0ms

10073×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3