Details

sample38.0ms

Algorithm

intervals

Results

22.0ms

364×

body

valid

simplify75.0ms

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: 5.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite22.0ms

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:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
65.0ms	(- (* x y) (* (* z 9.0) t))
66.0ms	(/ (- (* 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	5001	375

prune199.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.4b

localize11.0ms

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))
5.5b	(/ (* x y) a)
5.7b	(/ (* t z) a)

rewrite24.0ms

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)))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series181.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
24.0ms	(/ (* x y) a)
21.0ms	(/ (* 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

prune273.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
2.5b	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.7b	(/ (* t z) a)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

4 → 110

Calls

4 calls:

0.0ms	(cbrt a)
1.0ms	(cbrt a)
28.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
3.0ms	(/ (* t z) a)

series439.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt a)
183.0ms	(cbrt a)
55.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
19.0ms	(/ (* t z) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	527	796
1	2748	641
2	5001	604

prune425.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
5.5b	(/ (* x y) a)
5.7b	(/ (* 4.5 (* t z)) a)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

9.0ms	(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
6.0ms	(* 4.5 (* t z))
7.0ms	(/ (* x y) a)
7.0ms	(/ (* 4.5 (* t z)) a)

series182.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
20.0ms	(* 4.5 (* t z))
19.0ms	(/ (* x y) a)
29.0ms	(/ (* 4.5 (* t z)) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	482	661
1	2389	533
2	5001	533

prune239.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes584.0ms

Accuracy

88% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 7.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	28
1	51	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

729.0ms

11274×

body

valid