Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

320×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

prune5.0ms

Filtered

1 candidates to 1 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 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma x y (* (- x 1.0) z))
30.0ms	(* (- x 1.0) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	131	158
1	459	135
2	2218	135
3	5002	135

prune62.0ms

Filtered

40 candidates to 29 candidates (27.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- x 1.0) z)
34.0ms	(fma x y (* (- x 1.0) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	131	158
1	459	135
2	2218	135
3	5002	135

prune62.0ms

Filtered

40 candidates to 30 candidates (25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
18.0ms	(+ (* x y) (* (- x 1.0) z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- x 1.0) z)
31.0ms	(+ (* x y) (* (- x 1.0) z))

simplify99.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	191	215
1	797	194
2	4162	194
3	5001	193

prune85.0ms

Filtered

61 candidates to 43 candidates (29.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

1.0ms	(fma x y (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms	(* (- x 1.0) (sqrt z))
15.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

series130.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma x y (* (* (- x 1.0) (sqrt z)) (sqrt z)))
48.0ms	(* (- x 1.0) (sqrt z))
37.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	301	566
1	1136	465
2	5002	449

prune139.0ms

Filtered

95 candidates to 66 candidates (30.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes63.0ms

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	13	3
1	15	3
2	15	3

end0.0ms

sample426.0ms

Algorithm

intervals

Results

229.0ms

10161×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3