Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

384×

body

valid

simplify80.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
9.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite49.0ms

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:

8.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
22.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* x y) (* (* z 9.0) t))
16.0ms	(* (* z 9.0) t)
61.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

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

prune193.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.0b

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) a))
5.0b	(/ (* t z) a)
9.1b	(/ (* x y) a)

rewrite57.0ms

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:

19.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
17.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ (* t z) a)
9.0ms	(/ (* x y) a)

series159.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
17.0ms	(/ (* t z) a)
18.0ms	(/ (* x y) 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

prune245.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
4.7b	(/ x (/ a y))
5.0b	(/ (* t z) a)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

19.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
17.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ x (/ a y))
9.0ms	(/ (* t z) a)

series137.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ x (/ a y))
18.0ms	(/ (* t z) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	624	894
1	2901	819
2	5001	819

prune413.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 4.5) (/ (* t z) a))
0.2b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
4.7b	(/ x (/ a y))
5.0b	(/ (* t z) a)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
56×	`add-sqr-sqrt`
55×	`add-exp-log`
52×	`add-cube-cbrt` `*-un-lft-identity`
38×	`add-cbrt-cube`
25×	`prod-exp` `cbrt-unprod`
18×	`pow1`
16×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
9×	`pow-prod-down`
8×	`associate-r`
7×	`associate-l` `div-inv`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-/r/`

Counts

4 → 161

Calls

4 calls:

19.0ms	(* (cbrt 4.5) (/ (* t z) a))
59.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
11.0ms	(/ x (/ a y))
9.0ms	(/ (* t z) a)

series205.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cbrt 4.5) (/ (* t z) a))
94.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
19.0ms	(/ x (/ a y))
18.0ms	(/ (* t z) a)

simplify78.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	648	1129
1	3024	943
2	5001	903

prune474.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes615.0ms

Accuracy

91.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	30
1	50	30

end0.0ms

sample792.0ms

Algorithm

intervals

Results

359.0ms

11181×

body

valid