Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune7.0ms

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y 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 z) y x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ y z) y x)

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
10.3b	(/ (* y y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ x (/ (* y y) z))
5.0ms	(/ (* y y) z)

series55.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (/ (* y y) z))
20.0ms	(/ (* y y) z)

simplify98.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	176	173
1	675	155
2	2852	150
3	5002	149

prune81.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y (/ z y)))
0.2b	(/ y (/ z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
47×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 89

Calls

2 calls:

14.0ms	(+ x (/ y (/ z y)))
7.0ms	(/ y (/ z y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ y (/ z y)))
22.0ms	(/ y (/ z y))

simplify64.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	388	540
1	1847	492
2	5001	485

prune167.0ms

Filtered

95 candidates to 70 candidates (73.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
0.1b	(* (sqrt y) y)
0.1b	(/ (sqrt y) z)
2.4b	(* (/ (sqrt y) z) (* (sqrt y) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
28×	`associate-l`
25×	`sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r*`
2×	`sqrt-pow1` `pow-plus` `pow1/2` `*-commutative` `pow-prod-up` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `cube-unmult` `associate-*l/` `clear-num` `sum-log` `flip-+`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
5.0ms	(* (sqrt y) y)
5.0ms	(/ (sqrt y) z)
12.0ms	(* (/ (sqrt y) z) (* (sqrt y) y))

series202.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (* (/ (sqrt y) z) (* (sqrt y) y)))
39.0ms	(* (sqrt y) y)
72.0ms	(/ (sqrt y) z)
38.0ms	(* (/ (sqrt y) z) (* (sqrt y) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	519	766
1	2233	643
2	5001	618

prune278.0ms

Filtered

142 candidates to 99 candidates (69.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	142	4	146

Merged error: 0b

Counts

146 → 4

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample538.0ms

Algorithm

intervals

Results

297.0ms

10708×

body

valid