Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

370×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	4
1	35	4
2	51	4
3	71	4
4	85	4
5	89	4
6	89	4

prune3.0ms

Filtered

1 candidates to 0 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: 6.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z t))
5.6b	(/ (- (* x y) (* z t)) a)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

8.0ms	(- (* x y) (* z t))
7.0ms	(/ (- (* x y) (* z t)) a)

series98.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* x y) (* z t))
54.0ms	(/ (- (* x y) (* z t)) a)

simplify112.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	218	336
1	769	309
2	2931	308
3	5001	307

prune159.0ms

Filtered

54 candidates to 43 candidates (79.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	45	9	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	9	55

Merged error: 5.7b

Counts

55 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (- (* z t)))
5.6b	(/ (fma x y (- (* z t))) a)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

1.0ms	(fma x y (- (* z t)))
4.0ms	(/ (fma x y (- (* z t))) a)

series112.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma x y (- (* z t)))
64.0ms	(/ (fma x y (- (* z t))) a)

simplify53.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	113	283
1	323	257
2	1205	257
3	5002	256

prune125.0ms

Filtered

45 candidates to 36 candidates (80.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	45	9	54

Merged error: 5.7b

Counts

54 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* z t))
0.2b	(/ 1 (/ a (- (* x y) (* z t))))
5.6b	(/ a (- (* x y) (* z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `prod-diff` `inv-pow`

Counts

3 → 133

Calls

3 calls:

4.0ms	(- (* x y) (* z t))
9.0ms	(/ 1 (/ a (- (* x y) (* z t))))
6.0ms	(/ a (- (* x y) (* z t)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x y) (* z t))
89.0ms	(/ 1 (/ a (- (* x y) (* z t))))
47.0ms	(/ a (- (* x y) (* z t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	443	1267
1	1896	1141
2	5001	1049

prune268.0ms

Filtered

142 candidates to 82 candidates (57.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	141	10	151

Merged error: 5.7b

Counts

151 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z t))
5.7b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-exp-log` `*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `fma-neg` `diff-log` `1-exp` `associate-r/` `prod-diff` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 58

Calls

2 calls:

4.0ms	(- (* x y) (* z t))
10.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series103.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x y) (* z t))
60.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	292	413
1	1156	361
2	5001	342

prune136.0ms

Filtered

64 candidates to 46 candidates (71.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	64	10	74

Merged error: 5.7b

Counts

74 → 10

regimes425.0ms

Accuracy

0% (0.3b remaining)

Error of 7.6b against oracle of 7.3b and baseline of 7.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	16	4
2	16	4

end0.0ms

sample741.0ms

Algorithm

intervals

Results

396.0ms

11107×

body

valid