Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	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 2 expressions with local error:

0.0b	(/ (- y x) t)
6.2b	(fma (/ (- y x) t) z x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- y x) t)
35.0ms	(fma (/ (- y x) t) z x)

simplify43.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune109.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.5b	(/ 1 (/ t (- y x)))
6.2b	(fma (/ 1 (/ t (- y x))) z x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 159

Calls

3 calls:

5.0ms	(/ t (- y x))
9.0ms	(/ 1 (/ t (- y x)))
1.0ms	(fma (/ 1 (/ t (- y x))) z x)

series92.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- y x))
30.0ms	(/ 1 (/ t (- y x)))
33.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify49.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	476	1139
1	2102	1012
2	5002	885

prune208.0ms

Filtered

168 candidates to 87 candidates (51.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	170	4	174

Merged error: 0.0b

Counts

174 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ z (/ t (- y x))) x)
0.0b	(/ t (- y x))
6.2b	(/ z (/ t (- y x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

27.0ms	(+ (/ z (/ t (- y x))) x)
5.0ms	(/ t (- y x))
11.0ms	(/ z (/ t (- y x)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ z (/ t (- y x))) x)
27.0ms	(/ t (- y x))
54.0ms	(/ z (/ t (- y x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	550	1177
1	2393	1131
2	5001	1125

prune479.0ms

Filtered

234 candidates to 186 candidates (79.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	232	6	238

Merged error: 0b

Counts

238 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.7b	(fma (/ z t) (- y x) 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 (/ z t) (- y x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ z t) (- y x) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	267	53
3	1262	53
4	5003	53

prune25.0ms

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

regimes117.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample534.0ms

Algorithm

intervals

Results

277.0ms

10550×

body

valid