Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
72.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune203.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.2b	(- (* x y) (* 9.0 (* t z)))
7.3b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
5×	`add-log-exp`
4×	`associate-*r/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `flip3-+` `times-frac` `associate-l` `pow-prod-down` `flip--` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`associate-+l-` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
40.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* 9.0 (* t z))
57.0ms	(- (* x y) (* 9.0 (* t z)))
72.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	451	675
1	2072	572
2	5001	566

prune269.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(fma x y (- (* (* z 9.0) t)))
7.3b	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `fma-udef` `div-inv`

Counts

3 → 53

Calls

3 calls:

7.0ms	(* (* z 9.0) t)
0.0ms	(fma x y (- (* (* z 9.0) t)))
3.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
66.0ms	(fma x y (- (* (* z 9.0) t)))
78.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

simplify121.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	243	368
1	977	305
2	4946	305
3	5001	305

prune204.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
6.5b	(/ (* t z) a)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

7.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
9.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* x y) a)
7.0ms	(/ (* t z) a)

series187.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
33.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ (* x y) a)
22.0ms	(/ (* t z) a)

simplify56.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	405	538
1	2002	467
2	5001	467

prune264.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes618.0ms

Accuracy

39.6% (4.8b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 8.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	35
1	53	35

end0.0ms

sample693.0ms

Algorithm

intervals

Results

375.0ms

11192×

body

valid