Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

384×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize9.0ms

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))

rewrite54.0ms

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×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* x y) (* (* z 9.0) t))
21.0ms	(* (* z 9.0) t)
23.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (* x y) (* (* z 9.0) t))
16.0ms	(* (* z 9.0) t)
61.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune163.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.0b

localize14.0ms

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)

rewrite60.0ms

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/`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

19.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* t z) a)
10.0ms	(/ (* x y) a)

series158.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify57.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	381	486
1	1921	419
2	5001	419

prune216.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)

rewrite60.0ms

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×	`associate-/l*`
3×	`associate-r/` `associate-l*`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-/r/` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

18.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ x (/ a y))
11.0ms	(/ (* t z) a)

series135.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
25.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ x (/ a y))
18.0ms	(/ (* t z) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	600	842
1	2819	771
2	5001	771

prune368.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize18.0ms

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)

rewrite107.0ms

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` `associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-/r/`

Counts

4 → 153

Calls

4 calls:

20.0ms	(* (cbrt 4.5) (/ (* t z) a))
62.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
9.0ms	(/ x (/ a y))
10.0ms	(/ (* t z) a)

series211.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cbrt 4.5) (/ (* t z) a))
93.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
18.0ms	(/ x (/ a y))
21.0ms	(/ (* t z) a)

simplify74.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	640	1089
1	3014	903
2	5002	872

prune439.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes647.0ms

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

sample814.0ms

Algorithm

intervals

Results

365.0ms

11181×

body

valid