Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

334×

body

valid

simplify162.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (58.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

4.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	94	116
1	301	98
2	1482	94
3	5002	94

prune63.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	16	7	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	8	24

Merged error: 3.4b

Counts

24 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

10.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series397.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))
110.0ms	(cbrt (fma (- y 1.0) z 1.0))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	270	794
1	864	635
2	3690	546
3	5002	517

prune254.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	74	9	83

Merged error: 3.4b

Counts

83 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 62

Calls

4 calls:

7.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
2.0ms	(cbrt (fma (- y 1.0) z 1.0))

series893.0ms

Counts

4 → 12

Calls

4 calls:

514.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (* (cbrt (fma (- y 1.0) z 1.0)) x))
126.0ms	(cbrt (fma (- y 1.0) z 1.0))
126.0ms	(cbrt (fma (- y 1.0) z 1.0))
126.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	332	725
1	992	669
2	3871	616
3	5001	584

prune291.0ms

Filtered

74 candidates to 64 candidates (86.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 3.4b

Counts

83 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))
3.6b	(cbrt (fma (- y 1.0) z 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (fma (- y 1.0) z 1.0))
2.0ms	(cbrt (fma (- y 1.0) z 1.0))
2.0ms	(cbrt (fma (- y 1.0) z 1.0))
2.0ms	(cbrt (fma (- y 1.0) z 1.0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (fma (- y 1.0) z 1.0))
127.0ms	(cbrt (fma (- y 1.0) z 1.0))
125.0ms	(cbrt (fma (- y 1.0) z 1.0))
133.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune302.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 3.4b

Counts

74 → 10

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample446.0ms

Algorithm

intervals

Results

240.0ms

10011×

body

valid