Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify175.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

12.0ms	(+ x (* (* (- y x) 6.0) z))
9.0ms	(* (- y x) 6.0)
11.0ms	(* (* (- y x) 6.0) z)

series112.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (* (- y x) 6.0) z))
31.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	287	394
1	1187	343
2	5001	341

prune176.0ms

Filtered

90 candidates to 62 candidates (68.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* 6.0 (* (- y x) z)))
0.3b	(* 6.0 (* (- y x) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(* (- y x) z)
12.0ms	(+ x (* 6.0 (* (- y x) z)))
11.0ms	(* 6.0 (* (- y x) z))

series111.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) z)
46.0ms	(+ x (* 6.0 (* (- y x) z)))
37.0ms	(* 6.0 (* (- y x) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	295	387
1	1290	336
2	5001	334

prune175.0ms

Filtered

88 candidates to 62 candidates (70.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.1b	(fma (* (- y x) 6.0) z x)

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:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) 6.0)
40.0ms	(fma (* (- y x) 6.0) z x)

simplify60.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	144	163
1	504	137
2	2425	137
3	5003	137

prune92.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0b

Counts

46 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune30.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	13	6	19

Merged error: 0b

Counts

19 → 6

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample456.0ms

Algorithm

intervals

Results

236.0ms

9972×

body

valid