Details

sample62.0ms

Algorithm

intervals

Results

10.0ms

345×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 9.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.3b	(/ (- (* x y) (* z t)) a)

rewrite11.0ms

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:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x y) (* z t))
48.0ms	(/ (- (* x y) (* z t)) a)

simplify87.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (81.0ms)

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

prune153.0ms

Filtered

54 candidates to 43 candidates (79.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	41	13	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	13	55

Merged error: 9.5b

Counts

55 → 13

localize7.0ms

Local error

Found 1 expressions with local error:

9.3b	(/ (fma x y (- (* z t))) a)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

3.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify128.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	106	228
1	266	210
2	952	209
3	4429	208
4	5001	208

prune92.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	32	13	45

Merged error: 9.5b

Counts

45 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.5b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite15.0ms

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* x y) (* z t))
51.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (36.0ms)

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

prune136.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	64	13	77

Merged error: 9.5b

Counts

77 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
0.4b	(/ 1 (/ a (- (* x y) (* z t))))
9.3b	(/ a (- (* x y) (* z t)))

rewrite25.0ms

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))
8.0ms	(/ 1 (/ a (- (* x y) (* z t))))
8.0ms	(/ a (- (* x y) (* z t)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x y) (* z t))
82.0ms	(/ 1 (/ a (- (* x y) (* z t))))
36.0ms	(/ a (- (* x y) (* z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (40.0ms)

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

prune206.0ms

Filtered

142 candidates to 79 candidates (55.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	140	15	155

Merged error: 9.5b

Counts

155 → 15

regimes583.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.5b and baseline of 7.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample659.0ms

Algorithm

intervals

Results

341.0ms

11129×

body

valid