Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

344×

body

valid

simplify72.0ms

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: 7.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.1b	(/ (- (* x y) (* (* z 9.0) 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`
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))
17.0ms	(* (* z 9.0) t)
25.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* x y) (* (* z 9.0) t))
15.0ms	(* (* z 9.0) t)
60.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune162.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.1b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite50.0ms

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

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* x y) (* z (* 9.0 t)))
16.0ms	(* z (* 9.0 t))
22.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* x y) (* z (* 9.0 t)))
15.0ms	(* z (* 9.0 t))
57.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5001	340

prune151.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.1b

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))
5.4b	(/ (* t z) a)
6.0b	(/ (* 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/`
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)))
17.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ (* t z) a)
9.0ms	(/ (* x y) a)

series158.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* 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)

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (11.0ms)

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

prune210.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ 1 (/ a (* t z))))
0.6b	(/ 1 (/ a (* t z)))
5.3b	(/ a (* t z))
6.0b	(/ (* x y) a)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

71×	`times-frac`
67×	`add-exp-log`
46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`add-cube-cbrt`
37×	`add-cbrt-cube`
28×	`div-exp`
26×	`associate-r`
18×	`prod-exp`
14×	`cbrt-undiv`
11×	`associate-/r*` `div-inv`
8×	`cbrt-unprod`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

40.0ms	(* 4.5 (/ 1 (/ a (* t z))))
14.0ms	(/ 1 (/ a (* t z)))
7.0ms	(/ a (* t z))
9.0ms	(/ (* x y) a)

series81.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 4.5 (/ 1 (/ a (* t z))))
18.0ms	(/ 1 (/ a (* t z)))
21.0ms	(/ a (* t z))
17.0ms	(/ (* x y) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	542	829
1	2762	687
2	5002	622

prune300.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes628.0ms

Accuracy

49% (3.6b remaining)

Error of 4.0b against oracle of 0.4b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	43
1	50	43

end0.0ms

sample801.0ms

Algorithm

intervals

Results

351.0ms

11147×

body

valid